23142844314972000
23,142,844,314,972,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 23142844314972000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
23142844314972000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 23142844314972000:
25 × 33 × 53 × 712 × 3493
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 71 × 71 × 349 × 349 × 349)See below for interesting mathematical facts about the number 23142844314972000 from the Numbermatics database.
Names of 23142844314972000
- Cardinal: 23142844314972000 can be written as Twenty-three quadrillion, one hundred forty-two trillion, eight hundred forty-four billion, three hundred fourteen million, nine hundred seventy-two thousand.
Scientific notation
- Scientific notation: 2.3142844314972 × 1016
Factors of 23142844314972000
Divisors of 23142844314972000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 71 72 75 80 90 96 100 108 120 125 135 142 144 150 160 180 200 213 216 225 240 250 270 284 288 300 349 355 360 375 400 426 432 450 480 500 540 568 600 639 675 698 710 720 750 800 852 864 900 1000 1047 1065 1080 1125 1136 1200 1278 1350 1396 1420 1440 1500 1704 1745 1775 1800 1917 2000 2094 2130 2160 2250 2272 2400 2556 2700 2792 2840 3000 3141 3195 3375 3408 3490 3550 3600 3834 4000 4188 4260 4320 4500 5041 5112 5235 5325 5400 5584 5680 6000 6282 6390 6750 6816 6980 7100 7200 7668 8376 8520 8725 8875 9000 9423 9585 10082 10224 10470 10650 10800 11168 11360 12000 12564 12780 13500 13960 14200 15123 15336 15705 15975 16752 17040 17450 17750 18000 18846 19170 20164 20448 20940 21300 21600 24779 25128 25205 25560 26175 26625 27000 27920 28400 30246 30672 31410 31950 33504 34080 34900 35500 36000 37692 38340 40328 41880 42600 43625 45369 47115 47925 49558 50256 50410 51120 52350 53250 54000 55840 56800 60492 61344 62820 63900 69800 71000 74337 75384 75615 76680 78525 79875 80656 83760 85200 87250 90738 94230 95850 99116 100512 100820 102240 104700 106500 108000 120984 121801 123895 125640 126025 127800 130875 136107 139600 142000 148674 150768 151230 153360 157050 159750 161312 167520 170400 174500 181476 188460 191700 198232 201640 209400 213000 223011 226845 235575 239625 241968 243602 247790 251280 252050 255600 261750 272214 279200 284000 297348 301536 302460 306720 314100 319500 349000 362952 365403 371685 376920 378075 383400 392625 396464 403280 418800 426000 446022 453690 471150 479250 483936 487204 495580 502560 504100 511200 523500 544428 594696 604920 609005 619475 628200 630125 639000 669033 680535 698000 725904 730806 743370 753840 756150 766800 785250 792928 806560 837600 852000 892044 907380 942300 958500 974408 991160 1008200 1047000 1088856 1096209 1115055 1134225 1177875 1189392 1209840 1218010 1238950 1256400 1260250 1278000 1338066 1361070 1396000 1451808 1461612 1486740 1507680 1512300 1533600 1570500 1759309 1784088 1814760 1827015 1858425 1884600 1890375 1917000 1948816 1982320 2016400 2094000 2177712 2192418 2230110 2268450 2355750 2378784 2419680 2436020 2477900 2512800 2520500 2556000 2676132 2722140 2923224 2973480 3024600 3045025 3097375 3141000 3288627 3345165 3402675 3518618 3568176 3629520 3654030 3716850 3769200 3780750 3834000 3897632 3964640 4032800 4188000 4355424 4384836 4460220 4536900 4711500 4872040 4955800 5041000 5277927 5352264 5444280 5481045 5575275 5671125 5846448 5946960 6049200 6090050 6194750 6282000 6577254 6690330 6805350 7037236 7136352 7259040 7308060 7433700 7538400 7561500 7668000 8647871 8769672 8796545 8920440 9073800 9135075 9292125 9423000 9744080 9911600 10082000 10555854 10704528 10888560 10962090 11150550 11342250 11692896 11893920 12098400 12180100 12389500 12564000 13154508 13380660 13610700 14074472 14616120 14867400 15123000 15225125 15833781 16443135 16725825 17013375 17295742 17539344 17593090 17840880 18147600 18270150 18584250 18846000 19488160 19823200 20164000 21111708 21409056 21777120 21924180 22301100 22684500 24360200 24779000 25943613 26309016 26389635 26761320 27221400 27405225 27876375 28148944 29232240 29734800 30246000 30450250 31667562 32886270 33451650 34026750 34591484 35078688 35186180 35681760 36295200 36540300 37168500 37692000 42223416 42508549 43239355 43848360 43982725 44602200 45369000 45675375 47501343 48720400 49558000 51887226 52618032 52779270 53522640 54442800 54810450 55752750 56297888 58464480 59469600 60492000 60900500 63335124 65772540 66903300 68053500 69182968 70372360 73080600 74337000 77830839 79168905 82215675 83629125 84446832 85017098 86478710 87696720 87965450 89204400 90738000 91350750 95002686 97440800 99116000 103774452 105236064 105558540 107045280 108885600 109620900 111505500 121801000 126670248 127525647 129718065 131545080 131948175 133806600 136107000 137026125 138365936 140744720 146161200 148674000 155661678 158337810 164431350 167258250 168893664 170034196 172957420 175393440 175930900 178408800 181476000 182701500 190005372 207548904 211117080 212542745 216196775 219241800 219913625 223011000 233492517 237506715 243602000 253340496 255051294 259436130 263090160 263896350 267613200 272214000 274052250 276731872 281489440 292322400 297348000 311323356 316675620 328862700 334516500 340068392 345914840 351861800 365403000 380010744 382576941 389154195 395844525 411078375 415097808 422234160 425085490 432393550 438483600 439827250 446022000 466985034 475013430 487204000 506680992 510102588 518872260 526180320 527792700 535226400 544428000 548104500 613998841 622646712 633351240 637628235 648590325 657725400 659740875 669033000 680136784 691829680 703723600 730806000 760021488 765153882 778308390 791689050 822156750 830195616 844468320 850170980 864787100 876967200 879654500 892044000 933970068 950026860 1020205176 1037744520 1055585400 1062713725 1080983875 1096209000 1147730823 1167462585 1187533575 1227997682 1245293424 1266702480 1275256470 1297180650 1315450800 1319481750 1338066000 1360273568 1383659360 1407447200 1461612000 1520042976 1530307764 1556616780 1583378100 1644313500 1700341960 1729574200 1759309000 1841996523 1867940136 1900053720 1912884705 1945770975 1979222625 2040410352 2075489040 2111170800 2125427450 2161967750 2192418000 2295461646 2334925170 2375067150 2455995364 2490586848 2533404960 2550512940 2594361300 2630901600 2638963500 2676132000 3018106979 3060615528 3069994205 3113233560 3166756200 3188141175 3242951625 3288627000 3400683920 3459148400 3518618000 3683993046 3735880272 3800107440 3825769410 3891541950 3958445250 4080820704 4150978080 4222341600 4250854900 4323935500 4384836000 4590923292 4669850340 4750134300 4911990728 5101025880 5188722600 5277927000 5313568625 5525989569 5738654115 5837312925 5937667875 6036213958 6121231056 6139988410 6226467120 6333512400 6376282350 6485903250 6577254000 6801367840 6918296800 7037236000 7367986092 7471760544 7600214880 7651538820 7783083900 7916890500 8501709800 8647871000 9054320937 9181846584 9209982615 9339700680 9500268600 9564423525 9728854875 9823981456 10202051760 10377445200 10555854000 10627137250 11051979138 11477308230 11674625850 11875335750 12072427916 12242462112 12279976820 12452934240 12667024800 12752564700 12971806500 13154508000 14735972184 15090534895 15303077640 15349971025 15566167800 15833781000 15940705875 16577968707 17003419600 17295742000 18108641874 18363693168 18419965230 18679401360 19000537200 19128847050 19457709750 19647962912 20404103520 20754890400 21111708000 21254274500 22103958276 22954616460 23349251700 23750671500 24144855832 24559953640 25505129400 25943613000 27162962811 27629947845 28693270575 29186564625 29471944368 30181069790 30606155280 30699942050 31132335600 31667562000 31881411750 33155937414 34006839200 34591484000 36217283748 36727386336 36839930460 37358802720 38001074400 38257694100 38915419500 42508549000 44207916552 45271604685 45909232920 46049913075 46698503400 47501343000 47822117625 48289711664 49119907280 51010258800 51887226000 54325925622 55259895690 57386541150 58373129250 58943888736 60362139580 61212310560 61399884100 62264671200 63335124000 63762823500 66311874828 72434567496 73679860920 75452674475 76515388200 76749855125 77830839000 81488888433 82889843535 85017098000 88415833104 90543209370 91818465840 92099826150 93397006800 95002686000 95644235250 96579423328 98239814560 102020517600 103774452000 108651851244 110519791380 114773082300 116746258500 120724279160 122799768200 127525647000 132623749656 135814814055 138149739225 143466352875 144869134992 147359721840 150905348950 153030776400 153499710250 155661678000 162977776866 165779687070 170034196000 176831666208 181086418740 183636931680 184199652300 186794013600 190005372000 191288470500 214285595509 217303702488 221039582760 226358023425 229546164600 230249565375 233492517000 241448558320 245599536400 255051294000 265247499312 271629628110 276299478450 286932705750 289738269984 294719443680 301810697900 306061552800 306999420500 311323356000 325955553732 331559374140 362172837480 368399304600 377263372375 382576941000 407444442165 414449217675 428571191018 434607404976 442079165520 452716046850 459092329200 460499130750 466985034000 482897116640 491199072800 510102588000 530494998624 543259256220 552598956900 573865411500 603621395800 613998841000 642856786527 651911107464 663118748280 679074070275 690748696125 724345674960 736798609200 754526744750 765153882000 814888884330 828898435350 857142382036 869214809952 884158331040 905432093700 918184658400 920998261500 933970068000 1071427977545 1086518512440 1105197913800 1131790117125 1147730823000 1207242791600 1227997682000 1285713573054 1303822214928 1326237496560 1358148140550 1381497392250 1448691349920 1473597218400 1509053489500 1530307764000 1629777768660 1657796870700 1714284764072 1810864187400 1841996523000 1928570359581 2037222210825 2072246088375 2142855955090 2173037024880 2210395827600 2263580234250 2295461646000 2414485583200 2455995364000 2571427146108 2607644429856 2652474993120 2716296281100 2762994784500 3018106979000 3214283932635 3259555537320 3315593741400 3395370351375 3428569528144 3621728374800 3683993046000 3857140719162 4074444421650 4144492176750 4285711910180 4346074049760 4420791655200 4527160468500 4590923292000 5142854292216 5357139887725 5432592562200 5525989569000 5785711078743 6036213958000 6428567865270 6519111074640 6631187482800 6790740702750 6857139056288 7243456749600 7367986092000 7714281438324 8148888843300 8288984353500 8571423820360 9054320937000 9642851797905 10186111054125 10285708584432 10714279775450 10865185124400 11051979138000 11571422157486 12072427916000 12857135730540 13038222149280 13262374965600 13581481405500 15428562876648 16071419663175 16297777686600 16577968707000 17142847640720 18108641874000 19285703595810 20372222108250 20571417168864 21428559550900 21730370248800 22103958276000 23142844314972 25714271461080 26785699438625 27162962811000 28928555393715 30857125753296 32142839326350 32595555373200 33155937414000 34285695281440 36217283748000 38571407191620 40744444216500 42857119101800 46285688629944 48214258989525 51428542922160 53571398877250 54325925622000 57857110787430 61714251506592 64285678652700 65191110746400 66311874828000 77142814383240 80357098315875 81488888433000 85714238203600 92571377259888 96428517979050 102857085844320 107142797754500 108651851244000 115714221574860 128571357305400 144642776968575 154285628766480 160714196631750 162977776866000 171428476407200 185142754519776 192857035958100 214285595509000 231428443149720 241071294947625 257142714610800 289285553937150 308571257532960 321428393263500 325955553732000 385714071916200 428571191018000 462856886299440 482142589895250 514285429221600 578571107874300 642856786527000 723213884842875 771428143832400 857142382036000 925713772598880 964285179790500 1157142215748600 1285713573054000 1446427769685750 1542856287664800 1928570359581000 2314284431497200 2571427146108000 2892855539371500 3857140719162000 4628568862994400 5785711078743000 7714281438324000 11571422157486000 23142844314972000
- Sum of all divisors σ(n): 85688668748592000
- Sum of proper divisors (its aliquot sum) s(n): 62545824433620000
- 23142844314972000 is an abundant number, because the sum of its proper divisors (62545824433620000) is greater than itself. Its abundance is 39402980118648000
Bases of 23142844314972000
- Binary: 10100100011100001001011010101100111110001101111011000002
- Hexadecimal: 0x52384B567C6F60
- Base-36: 6BVGBWMLNC0
Squares and roots of 23142844314972000
- 23142844314972000 squared (231428443149720002) is 535591242987031819943360784000000
- 23142844314972000 cubed (231428443149720003) is 12395104752911216418096673851029928858048000000000
-
The
square root of 23142844314972000 is 152127723.6895760561 -
The
cube root of 23142844314972000 is 284974.2228249655
Scales and comparisons
How big is 23142844314972000?- 23,142,844,314,972,000 seconds is equal to 735,870,863 years, 36 weeks, 2 days, 6 hours.
-
To count from 1 to 23,142,844,314,972,000 would take you about two billion, two hundred seven million, six hundred twelve thousand, five hundred ninety-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 23142844314972000 cubic inches would be around 23747.9 feet tall.
Recreational maths with 23142844314972000
- 23142844314972000 backwards is 00027941344824132
- 23142844314972000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 23142844314972000's digits is 54
- More coming soon!
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"Number 23142844314972000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 23142844314972000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/23142844314972000/
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The information we have on file for 23142844314972000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 23142844314972000, math, Factors of 23142844314972000, curriculum, school, college, exams, university, Prime factorization of 23142844314972000, STEM, science, technology, engineering, physics, economics, calculator, twenty-three quadrillion, one hundred forty-two trillion, eight hundred forty-four billion, three hundred fourteen million, nine hundred seventy-two thousand.