23142319200
23,142,319,200 is an even composite number composed of seven prime numbers multiplied together.
23142319200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 23142319200:
25 × 32 × 52 × 7 × 11 × 133 × 19
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11 × 13 × 13 × 13 × 19)See below for interesting mathematical facts about the number 23142319200 from the Numbermatics database.
Names of 23142319200
- Cardinal: 23142319200 can be written as Twenty-three billion, one hundred forty-two million, three hundred nineteen thousand, two hundred.
Scientific notation
- Scientific notation: 2.31423192 × 1010
Factors of 23142319200
Divisors of 23142319200
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 21 22 24 25 26 28 30 32 33 35 36 38 39 40 42 44 45 48 50 52 55 56 57 60 63 65 66 70 72 75 76 77 78 80 84 88 90 91 95 96 99 100 104 105 110 112 114 117 120 126 130 132 133 140 143 144 150 152 154 156 160 165 168 169 171 175 176 180 182 190 195 198 200 208 209 210 220 224 225 228 231 234 240 247 252 260 264 266 273 275 280 285 286 288 300 304 308 312 315 325 330 336 338 342 350 352 360 364 380 385 390 396 399 400 416 418 420 429 440 450 455 456 462 468 475 480 494 495 504 507 520 525 528 532 546 550 560 570 572 585 600 608 616 624 627 630 650 660 665 672 676 684 693 700 715 720 728 741 760 770 780 792 798 800 819 825 836 840 845 855 858 880 900 910 912 924 936 950 975 988 990 1001 1008 1014 1040 1045 1050 1056 1064 1092 1100 1120 1140 1144 1155 1170 1183 1197 1200 1232 1235 1248 1254 1260 1287 1300 1320 1330 1352 1365 1368 1386 1400 1425 1430 1440 1456 1463 1482 1520 1521 1540 1560 1575 1584 1596 1638 1650 1672 1680 1690 1710 1716 1729 1760 1800 1820 1824 1848 1859 1872 1881 1900 1925 1950 1976 1980 1995 2002 2016 2028 2080 2090 2100 2128 2145 2184 2197 2200 2223 2275 2280 2288 2310 2340 2366 2394 2400 2464 2470 2475 2508 2520 2535 2574 2600 2640 2660 2704 2717 2730 2736 2772 2800 2850 2860 2912 2925 2926 2964 3003 3040 3042 3080 3120 3135 3150 3168 3192 3211 3276 3300 3325 3344 3360 3380 3420 3432 3458 3465 3549 3575 3600 3640 3696 3705 3718 3744 3762 3800 3850 3900 3952 3960 3990 4004 4056 4095 4180 4200 4225 4256 4275 4290 4368 4389 4394 4400 4446 4550 4560 4576 4620 4680 4732 4788 4940 4950 5005 5016 5040 5070 5148 5187 5200 5225 5280 5320 5408 5434 5460 5472 5544 5577 5600 5700 5720 5775 5850 5852 5915 5928 5985 6006 6084 6160 6175 6240 6270 6300 6384 6422 6435 6552 6591 6600 6650 6688 6760 6825 6840 6864 6916 6930 7098 7150 7200 7280 7315 7392 7410 7436 7524 7600 7605 7700 7800 7904 7920 7980 8008 8112 8151 8190 8360 8400 8450 8550 8580 8645 8736 8778 8788 8800 8892 9009 9100 9120 9240 9295 9360 9405 9464 9576 9633 9880 9900 9975 10010 10032 10080 10140 10296 10374 10400 10450 10640 10647 10725 10868 10920 10985 11088 11115 11154 11400 11440 11550 11700 11704 11830 11856 11970 12012 12168 12320 12350 12540 12600 12675 12768 12844 12870 13013 13104 13167 13182 13200 13300 13520 13585 13650 13680 13728 13832 13860 14196 14300 14560 14630 14820 14872 15015 15048 15200 15210 15379 15400 15561 15600 15675 15840 15960 16016 16055 16224 16302 16380 16720 16731 16800 16900 17100 17160 17290 17325 17556 17576 17745 17784 18018 18200 18480 18525 18590 18720 18810 18928 19019 19152 19266 19760 19773 19800 19950 20020 20064 20280 20475 20592 20748 20900 21280 21294 21450 21736 21840 21945 21970 22176 22230 22308 22477 22800 22880 23100 23400 23408 23660 23712 23940 24024 24167 24336 24453 24700 25025 25080 25200 25350 25688 25740 25935 26026 26208 26334 26364 26400 26600 27040 27170 27300 27360 27664 27720 27885 28392 28600 28899 29260 29575 29640 29744 29925 30030 30096 30420 30758 30800 31122 31200 31350 31920 32032 32110 32175 32604 32760 32955 33440 33462 33800 34200 34320 34580 34650 35112 35152 35321 35490 35568 36036 36400 36575 36960 37050 37180 37620 37856 38025 38038 38304 38532 39039 39520 39546 39600 39900 40040 40560 40755 40950 41184 41496 41743 41800 42588 42900 43225 43472 43680 43890 43940 44460 44616 44954 45045 45600 46137 46200 46475 46800 46816 47025 47320 47880 48048 48165 48334 48672 48906 49400 50050 50160 50400 50700 51376 51480 51870 52052 52668 52728 53200 53235 54340 54600 54925 55328 55440 55575 55770 56784 57057 57200 57798 58520 59150 59280 59488 59850 60060 60192 60840 61516 61600 62244 62700 63840 64220 64350 65065 65208 65520 65835 65910 66924 67431 67600 67925 68400 68640 69160 69300 70224 70304 70642 70980 71136 72072 72501 72800 73150 74100 74360 75075 75240 76050 76076 76895 77064 77805 78078 79092 79200 79800 80080 80275 81120 81510 81900 82992 83486 83600 83655 85176 85800 86450 86944 87780 87880 88725 88920 89232 89908 90090 92274 92400 92950 93600 94050 94640 95095 95760 96096 96330 96668 97812 98800 98865 100100 100320 101400 102752 102960 103740 104104 105336 105456 105963 106400 106470 108680 109200 109725 109850 110880 111150 111540 112385 113568 114114 114400 115596 117040 117117 118300 118560 119700 120120 120835 121680 122265 123032 124488 125229 125400 128440 128700 129675 130130 130416 131040 131670 131820 133848 134862 135200 135850 136800 138320 138411 138600 139425 140448 141284 141960 144144 144495 145002 146300 148200 148720 150150 150480 152100 152152 153790 154128 155610 156156 158184 159600 160160 160550 163020 163800 164775 165984 166972 167200 167310 169169 170352 171171 171600 172900 175560 175760 176605 177450 177840 178464 179816 180180 184548 184800 185900 188100 189280 190190 191520 192660 193336 195195 195624 197600 197730 200200 202293 202800 203775 205920 207480 208208 208715 210672 210912 211926 212940 217360 217503 218400 219450 219700 222300 223080 224770 225225 228228 230685 231192 234080 234234 236600 239400 240240 240825 241670 243360 244530 246064 247247 248976 250458 250800 256880 257400 259350 260260 260832 263340 263640 266175 267696 269724 271700 276640 276822 277200 278850 282568 283920 285285 288288 288990 290004 292201 292600 296400 297440 300300 300960 304200 304304 307580 308256 311220 312312 316368 317889 319200 321100 325325 326040 327600 329175 329550 333944 334620 337155 338338 340704 342342 343200 345800 351120 351520 353210 354900 355680 359632 360360 362505 369096 371800 375687 376200 380380 384475 385320 386672 389025 390390 391248 395460 400400 404586 405600 407550 414960 416416 417430 418275 421344 423852 425880 434720 435006 438900 439400 444600 446160 449540 450450 456456 459173 461370 462384 468468 473200 475475 478800 480480 481650 483340 489060 492128 494325 494494 497952 500916 501600 507507 513760 514800 518700 520520 526680 527280 529815 532350 535392 539448 543400 553644 554400 557700 561925 565136 567840 570570 577980 580008 584402 585200 585585 592800 600600 604175 608400 608608 611325 615160 622440 624624 626145 632736 635778 642200 650650 652080 655200 658350 659100 667888 669240 674310 676676 684684 691600 692055 702240 706420 709800 719264 720720 722475 725010 738192 741741 743600 751374 752400 760760 768950 770640 773344 778050 780780 782496 790920 800800 809172 815100 829920 834860 836550 845845 847704 851760 855855 870012 876603 877800 878800 883025 889200 892320 899080 900900 912912 918346 922740 924768 936936 946400 950950 957600 963300 966680 975975 978120 988650 988988 1001832 1011465 1015014 1029600 1037400 1041040 1043575 1053360 1054560 1059630 1064700 1078896 1086800 1087515 1107288 1115400 1123850 1130272 1141140 1153425 1155960 1160016 1168804 1170400 1171170 1201200 1208350 1216800 1222650 1230320 1236235 1244880 1249248 1252290 1271556 1284400 1301300 1304160 1316700 1318200 1335776 1338480 1348620 1353352 1369368 1377519 1383200 1384110 1412840 1419600 1426425 1441440 1444950 1450020 1461005 1476384 1483482 1487200 1502748 1504800 1521520 1522521 1537900 1541280 1556100 1561560 1581840 1589445 1618344 1630200 1669720 1673100 1685775 1691690 1695408 1703520 1711710 1740024 1753206 1755600 1757600 1766050 1778400 1798160 1801800 1812525 1825824 1836692 1845480 1873872 1878435 1901900 1926600 1933360 1951950 1956240 1977300 1977976 2003664 2022930 2030028 2074800 2082080 2087150 2106720 2119260 2129400 2157792 2173600 2175030 2214576 2225223 2230800 2247700 2282280 2295865 2306850 2311920 2320032 2337608 2342340 2402400 2416700 2445300 2460640 2472470 2489760 2504580 2537535 2543112 2568800 2602600 2629809 2633400 2636400 2649075 2676960 2697240 2706704 2738736 2755038 2768220 2825680 2839200 2852850 2889900 2900040 2922010 2927925 2966964 3005496 3043040 3045042 3075800 3112200 3123120 3130725 3163680 3178890 3214211 3236688 3260400 3339440 3346200 3371550 3383380 3390816 3423420 3460275 3480048 3506412 3511200 3532100 3596320 3603600 3625050 3673384 3690960 3708705 3747744 3756870 3803800 3853200 3866720 3903900 3912480 3954600 3955952 4007328 4045860 4060056 4132557 4149600 4174300 4229225 4238520 4258800 4279275 4350060 4383015 4429152 4450446 4461600 4495400 4564560 4591730 4613700 4623840 4675216 4684680 4833400 4890600 4944940 5009160 5057325 5075070 5086224 5205200 5259618 5266800 5272800 5298150 5394480 5413408 5437575 5477472 5510076 5536440 5651360 5705700 5779800 5800080 5844020 5855850 5933928 6010992 6090084 6151600 6181175 6224400 6246240 6261450 6357780 6428422 6473376 6520800 6678880 6692400 6743100 6766760 6846840 6887595 6920550 6960096 7012824 7064200 7207200 7250100 7305025 7346768 7381920 7417410 7513740 7607600 7612605 7706400 7807800 7909200 7911904 7947225 8091720 8120112 8265114 8348600 8458450 8477040 8517600 8558550 8700120 8766030 8900892 8990800 9129120 9183460 9227400 9350432 9369360 9392175 9642633 9666800 9781200 9889880 10018320 10114650 10150140 10172448 10410400 10519236 10533600 10596300 10788960 10875150 11020152 11072880 11126115 11411400 11479325 11559600 11600160 11688040 11711700 11867856 12021984 12180168 12303200 12362350 12448800 12522900 12687675 12715560 12856844 13149045 13384800 13486200 13533520 13693680 13775190 13841100 14025648 14128400 14500200 14610050 14693536 14834820 15027480 15215200 15225210 15615600 15818400 15894450 16071055 16183440 16240224 16530228 16697200 16916900 16954080 17117100 17400240 17532060 17801784 17981600 18366920 18454800 18543525 18738720 18784350 19285266 19333600 19562400 19779760 20036640 20229300 20300280 20662785 21038472 21192600 21750300 21915075 22040304 22145760 22252230 22822800 22958650 23119200 23376080 23423400 23735712 24360336 24724700 25045800 25375350 25431120 25713688 26298090 26972400 27067040 27387360 27550380 27682200 28051296 28256800 28927899 29000400 29220100 29669640 30054960 30450420 31231200 31788900 32142110 32366880 33060456 33394400 33833800 34234200 34437975 34800480 35064120 35603568 36733840 36909600 37087050 37568700 38063025 38570532 39559520 40458600 40600560 41325570 42076944 42385200 43500600 43830150 44080608 44504460 45645600 45917300 46752160 46846800 48213165 48720672 49449400 50091600 50750700 50862240 51427376 52596180 53944800 55100760 55364400 55630575 57855798 58000800 58440200 59339280 60109920 60900840 63577800 64284220 65745225 66120912 67667600 68468400 68875950 70128240 71207136 73467680 74174100 75137400 76126050 77141064 80355275 80917200 81201120 82651140 84153888 84770400 87001200 87660300 89008920 91834600 93693600 96426330 98898800 100183200 101501400 102854752 103313925 105192360 110201520 110728800 111261150 115711596 116880400 118678560 121801680 127155600 128568440 131490450 132241824 135335200 136936800 137751900 140256480 144639495 148348200 150274800 152252100 154282128 160710550 161834400 165302280 174002400 175320600 178017840 183669200 192852660 197797600 203002800 206627850 210384720 220403040 222522300 231423192 233760800 241065825 243603360 254311200 257136880 262980900 275503800 289278990 296696400 300549600 304504200 308564256 321421100 330604560 350641200 356035680 367338400 385705320 406005600 413255700 420769440 445044600 462846384 482131650 514273760 525961800 551007600 578557980 593392800 609008400 642842200 661209120 701282400 723197475 771410640 826511400 890089200 925692768 964263300 1051923600 1102015200 1157115960 1218016800 1285684400 1446394950 1542821280 1653022800 1780178400 1928526600 2103847200 2314231920 2571368800 2892789900 3306045600 3857053200 4628463840 5785579800 7714106400 11571159600 23142319200
- Sum of all divisors σ(n): 116017574400
- Sum of proper divisors (its aliquot sum) s(n): 92875255200
- 23142319200 is an abundant number, because the sum of its proper divisors (92875255200) is greater than itself. Its abundance is 69732936000
Bases of 23142319200
- Binary: 101011000110110001111000100011000002
- Hexadecimal: 0x56363C460
- Base-36: AMQC7S0
Squares and roots of 23142319200
- 23142319200 squared (231423192002) is 535566937954688640000
- 23142319200 cubed (231423192003) is 12394261031113999643493888000000
-
The
square root of 23142319200 is 152125.9977781575 -
The
cube root of 23142319200 is 2849.7206743789
Scales and comparisons
How big is 23142319200?- 23,142,319,200 seconds is equal to 735 years, 44 weeks, 2 days, 22 hours.
-
To count from 1 to 23,142,319,200 would take you about one thousand, four hundred seventy-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 23142319200 cubic inches would be around 237.5 feet tall.
Recreational maths with 23142319200
- 23142319200 backwards is 00291324132
- The number of decimal digits it has is: 11
- The sum of 23142319200's digits is 27
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 23142319200 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 23142319200 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/23142319200/
Chicago style:
Numbermatics. 2024. "Number 23142319200 - Facts about the integer". https://numbermatics.com/n/23142319200/
The information we have on file for 23142319200 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 23142319200, math, Factors of 23142319200, curriculum, school, college, exams, university, Prime factorization of 23142319200, STEM, science, technology, engineering, physics, economics, calculator, twenty-three billion, one hundred forty-two million, three hundred nineteen thousand, two hundred.