137339892976104000
137,339,892,976,104,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137339892976104000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3024 divisors.
137339892976104000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 137339892976104000:
26 × 32 × 53 × 72 × 132 × 6133
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 613 × 613 × 613)See below for interesting mathematical facts about the number 137339892976104000 from the Numbermatics database.
Names of 137339892976104000
- Cardinal: 137339892976104000 can be written as One hundred thirty-seven quadrillion, three hundred thirty-nine trillion, eight hundred ninety-two billion, nine hundred seventy-six million, one hundred four thousand.
Scientific notation
- Scientific notation: 1.37339892976104 × 1017
Factors of 137339892976104000
Divisors of 137339892976104000
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 112 117 120 125 126 130 140 144 147 150 156 160 168 169 175 180 182 192 195 196 200 208 210 224 225 234 240 245 250 252 260 273 280 288 294 300 312 315 320 325 336 338 350 360 364 375 390 392 400 416 420 441 448 450 455 468 480 490 500 504 507 520 525 546 560 576 585 588 600 613 624 630 637 650 672 676 700 720 728 735 750 780 784 800 819 832 840 845 875 882 900 910 936 960 975 980 1000 1008 1014 1040 1050 1092 1120 1125 1170 1176 1183 1200 1225 1226 1248 1260 1274 1300 1344 1352 1365 1400 1440 1456 1470 1500 1521 1560 1568 1575 1600 1625 1638 1680 1690 1750 1764 1800 1820 1839 1872 1911 1950 1960 2000 2016 2028 2080 2100 2184 2205 2240 2250 2275 2340 2352 2366 2400 2450 2452 2496 2520 2535 2548 2600 2625 2704 2730 2800 2880 2912 2925 2940 3000 3042 3065 3120 3136 3150 3185 3250 3276 3360 3380 3500 3528 3549 3600 3640 3675 3678 3744 3822 3900 3920 4000 4032 4056 4095 4160 4200 4225 4291 4368 4410 4500 4550 4680 4704 4732 4800 4875 4900 4904 5040 5070 5096 5200 5250 5408 5460 5517 5600 5733 5824 5850 5880 5915 6000 6084 6125 6130 6240 6300 6370 6500 6552 6720 6760 6825 7000 7056 7098 7200 7280 7350 7356 7488 7605 7644 7800 7840 7875 7969 8000 8112 8190 8281 8400 8450 8582 8736 8820 9000 9100 9195 9360 9408 9464 9555 9750 9800 9808 10080 10140 10192 10400 10500 10647 10816 10920 11025 11034 11200 11375 11466 11700 11760 11830 12000 12168 12250 12260 12480 12600 12675 12740 12873 13000 13104 13520 13650 14000 14112 14196 14400 14560 14625 14700 14712 15210 15288 15325 15600 15680 15750 15925 15938 16224 16380 16562 16800 16900 17164 17472 17640 17745 18000 18200 18375 18390 18720 18928 19110 19500 19600 19616 20160 20280 20384 20475 20800 21000 21125 21294 21455 21840 22050 22068 22750 22932 23400 23520 23660 23907 24000 24336 24500 24520 24843 25200 25350 25480 25746 26000 26208 27040 27300 27585 28000 28224 28392 28665 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46953809564480 47163424785750 47687462838925 49049961777180 50307653104800 50791380538500 52319959228992 52823035760040 53901056898000 54177472574400 54499957530200 55023995583375 56011375602000 56057099173920 57224955406710 58047292044000 58392811639500 58692261955600 60369183725760 61039952433824 61312452221475 62285665748800 62884566381000 65399949036240 66028794700050 67721840718000 68124946912750 68669946488052 70071373967400 70430714346720 71868075864000 73365327444500 74681834136000 75461479657200 76299940542280 77857082186000 78479938843488 81266208861600 81749936295300 83846088508000 84516857216064 85837433110065 87199932048320 87589217459250 88038392933400 90295787624000 91559928650736 93428498623200 94326849571500 95374925677850 98099923554360 100615306209600 101582761077000 102187420369125 105646071520080 107802113796000 108999915060400 110047991166750 112022751204000 112114198347840 114449910813420 116094584088000 116785623279000 117384523911200 122079904867648 122624904442950 125769132762000 130799898072480 132057589400100 135443681436000 136249893825500 137339892976104 140142747934800 140861428693440 143062388516775 146730654889000 150922959314400 152599881084560 155714164372000 156959877686976 162532417723200 163499872590600 165071986750125 167692177016000 171674866220130 175178434918500 176076785866800 183119857301472 186856997246400 188653699143000 190749851355700 196199847108720 203165522154000 204374840738250 211292143040160 215604227592000 217999830120800 220095982333500 224045502408000 228899821626840 233571246558000 234769047822400 238437314194625 245249808885900 251538265524000 261599796144960 264115178800200 270887362872000 272499787651000 274679785952208 280285495869600 286124777033550 293461309778000 301845918628800 305199762169120 306562261107375 311428328744000 326999745181200 330143973500250 343349732440260 350356869837000 352153571733600 366239714602944 377307398286000 381499702711400 392399694217440 406331044308000 408749681476500 422584286080320 429187165550325 435999660241600 440191964667000 457799643253680 467142493116000 476874628389250 490499617771800 503076531048000 528230357600400 544999575302000 549359571904416 560570991739200 572249554067100 586922619556000 610399524338240 613124522214750 653999490362400 660287947000500 686699464880520 700713739674000 704307143467200 715311942583875 754614796572000 762999405422800 784799388434880 812662088616000 817499362953000 858374331100650 880383929334000 915599286507360 934284986232000 953749256778500 980999235543600 1056460715200800 1089999150604000 1098719143808832 1144499108134200 1173845239112000 1226249044429500 1307998980724800 1320575894001000 1373398929761040 1401427479348000 1430623885167750 1509229593144000 1525998810845600 1634998725906000 1716748662201300 1760767858668000 1831198573014720 1907498513557000 1961998471087200 2112921430401600 2145935827751625 2179998301208000 2288998216268400 2452498088859000 2641151788002000 2746797859522080 2802854958696000 2861247770335500 3051997621691200 3269997451812000 3433497324402600 3521535717336000 3814997027114000 3923996942174400 4291871655503250 4577996432536800 4904996177718000 5282303576004000 5493595719044160 5722495540671000 6539994903624000 6866994648805200 7629994054228000 8583743311006500 9155992865073600 9809992355436000 10564607152008000 11444991081342000 13733989297610400 15259988108456000 17167486622013000 19619984710872000 22889982162684000 27467978595220800 34334973244026000 45779964325368000 68669946488052000 137339892976104000
- Sum of all divisors σ(n): 619852122913168080
- Sum of proper divisors (its aliquot sum) s(n): 482512229937064080
- 137339892976104000 is an abundant number, because the sum of its proper divisors (482512229937064080) is greater than itself. Its abundance is 345172336960960080
Bases of 137339892976104000
- Binary: 1111001111110110111100111101011100101010010110010010000002
- Hexadecimal: 0x1E7EDE7AE54B240
- Base-36: 11KAXFTN0NK0
Squares and roots of 137339892976104000
- 137339892976104000 squared (1373398929761040002) is 18862246202687700834315018816000000
- 137339892976104000 cubed (1373398929761040003) is 2590538874766052909741410113345634998372864000000000
-
The
square root of 137339892976104000 is 370593973.2053180597 -
The
cube root of 137339892976104000 is 515939.6462272065
Scales and comparisons
How big is 137339892976104000?- 137,339,892,976,104,000 seconds is equal to 4,366,983,776 years, 23 weeks, 5 days, 20 hours.
-
To count from 1 to 137,339,892,976,104,000 would take you about thirteen billion, one hundred million, nine hundred fifty-one thousand, three hundred twenty-nine 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 137339892976104000 cubic inches would be around 42995 feet tall.
Recreational maths with 137339892976104000
- 137339892976104000 backwards is 000401679298933731
- 137339892976104000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137339892976104000's digits is 72
- More coming soon!
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"Number 137339892976104000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 137339892976104000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/137339892976104000/
Chicago style:
Numbermatics. 2024. "Number 137339892976104000 - Facts about the integer". https://numbermatics.com/n/137339892976104000/
The information we have on file for 137339892976104000 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 137339892976104000, math, Factors of 137339892976104000, curriculum, school, college, exams, university, Prime factorization of 137339892976104000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, three hundred thirty-nine trillion, eight hundred ninety-two billion, nine hundred seventy-six million, one hundred four thousand.