137980383442296032000
137,980,383,442,296,032,000 is an even composite number composed of five prime numbers multiplied together.
137980383442296032000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 137980383442296032000:
28 × 53 × 119 × 23 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 23 × 43 × 43 × 43)See below for interesting mathematical facts about the number 137980383442296032000 from the Numbermatics database.
Names of 137980383442296032000
- Cardinal: 137980383442296032000 can be written as One hundred thirty-seven quintillion, nine hundred eighty quadrillion, three hundred eighty-three trillion, four hundred forty-two billion, two hundred ninety-six million, thirty-two thousand.
Scientific notation
- Scientific notation: 1.37980383442296032 × 1020
Factors of 137980383442296032000
Divisors of 137980383442296032000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 43 44 46 50 55 64 80 86 88 92 100 110 115 121 125 128 160 172 176 184 200 215 220 230 242 250 253 256 275 320 344 352 368 400 430 440 460 473 484 500 506 550 575 605 640 688 704 736 800 860 880 920 946 968 989 1000 1012 1075 1100 1150 1210 1265 1280 1331 1375 1376 1408 1472 1600 1720 1760 1840 1849 1892 1936 1978 2000 2024 2150 2200 2300 2365 2420 2530 2662 2750 2752 2783 2816 2875 2944 3025 3200 3440 3520 3680 3698 3784 3872 3956 4000 4048 4300 4400 4600 4730 4840 4945 5060 5203 5324 5375 5500 5504 5566 5750 5888 6050 6325 6400 6655 6880 7040 7360 7396 7568 7744 7912 8000 8096 8600 8800 9200 9245 9460 9680 9890 10120 10406 10648 10750 10879 11000 11008 11132 11500 11825 12100 12650 13310 13760 13915 14080 14641 14720 14792 15125 15136 15488 15824 16000 16192 17200 17600 18400 18490 18920 19360 19780 20240 20339 20812 21296 21500 21758 22000 22264 23000 23650 24200 24725 25300 26015 26620 27520 27830 29282 29440 29584 30250 30272 30613 30976 31625 31648 32000 32384 33275 34400 35200 36800 36980 37840 38720 39560 40480 40678 41624 42527 42592 43000 43516 44000 44528 46000 46225 47300 48400 49450 50600 52030 53240 54395 55040 55660 57233 58564 59125 59168 60500 60544 61226 63250 63296 64768 66550 68800 69575 70400 73205 73600 73960 75680 77440 79120 79507 80960 81356 83248 85054 85184 86000 87032 88000 89056 92000 92450 94600 96800 98900 101200 101695 104060 106480 108790 111320 114466 117128 118250 118336 119669 121000 121088 122452 123625 126500 126592 130075 133100 137600 139150 146410 147200 147920 151360 153065 154880 158240 159014 161051 161920 162712 166375 166496 170108 170368 172000 174064 176000 178112 184000 184900 189200 193600 197800 202400 203390 208120 212635 212960 217580 222640 223729 228932 231125 234256 236500 236672 239338 242000 244904 247250 253000 253184 260150 266200 271975 275200 278300 286165 292820 295840 302720 306130 316480 318028 322102 323840 325424 332750 332992 336743 340216 340736 344000 347875 348128 352000 356224 366025 368000 369800 378400 387200 395600 397535 404800 406780 416240 425270 425920 435160 445280 447458 457864 462250 467797 468512 473000 473344 478676 484000 489808 494500 506000 508475 520300 532400 543950 556600 572330 585640 591680 598345 605440 612260 629563 632960 636056 644204 650375 650848 665500 665984 673486 680432 688000 695750 696256 712448 732050 736000 739600 756800 765325 774400 791200 795070 805255 809600 813560 832480 850540 851840 870320 874577 890560 894916 915728 924500 935594 937024 946000 957352 968000 979616 989000 1012000 1016950 1040600 1063175 1064800 1087900 1113200 1118645 1144660 1171280 1183360 1196690 1224520 1259126 1265920 1272112 1288408 1300750 1301696 1316359 1331000 1331968 1346972 1359875 1360864 1376000 1391500 1392512 1430825 1464100 1479200 1513600 1530650 1582400 1590140 1610510 1619200 1627120 1664960 1683715 1701080 1703680 1740640 1749154 1771561 1781120 1789832 1828661 1830125 1831456 1849000 1871188 1874048 1892000 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6629847368936000 6784029865888000 6817212620666800 6975752449054400 7127085921606200 7292832105829600 7462432852476800 7498933882733480 7839794513766820 8022115316412560 8521515775833500 8623773965143502 8719690561318000 8908857402007750 9116040132287000 9122669979655936 9328041065596000 9373667353416850 9424245846752000 9799743142208525 9915945630060800 10027644145515700 10366670431427200 10907540193066880 11403337474569920 11668531369327360 11998294212373568 12394932037576000 12534555181894625 12543671222026912 12683186271008000 12835384506260096 12958338039284000 13259694737872000 13634425241333600 13951504898108800 14254171843212400 14585664211659200 14924865704953600 14997867765466960 15679589027533640 16044230632825120 17043031551667000 17247547930287004 17439381122636000 17817714804015500 18232080264574000 18656082131192000 18747334706833700 19599486284417050 20055288291031400 20733340862854400 21559434912858755 21815080386133760 22806674949139840 23434168383542125 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114033374745699200 119982942123735680 125436712220269120 128353845062600960 136344252413336000 137980383442296032 139515048981088000 142541718432124000 145856642116592000 149978677654669600 156795890275336400 160442306328251200 172475479302870040 187473347068337000 195994862844170500 200552882910314000 215594349128587550 228066749491398400 239965884247471360 250873424440538240 272688504826672000 275960766884592064 285083436864248000 291713284233184000 299957355309339200 313591780550672800 320884612656502400 344950958605740080 374946694136674000 391989725688341000 401105765820628000 431188698257175100 501746848881076480 538985872821468875 545377009653344000 551921533769184128 570166873728496000 599914710618678400 627183561101345600 641769225313004800 689901917211480160 749893388273348000 783979451376682000 802211531641256000 862377396514350200 1077971745642937750 1103843067538368256 1140333747456992000 1199829421237356800 1254367122202691200 1379803834422960320 1499786776546696000 1567958902753364000 1604423063282512000 1724754793028700400 2155943491285875500 2508734244405382400 2759607668845920640 2999573553093392000 3135917805506728000 3208846126565024000 3449509586057400800 4311886982571751000 5519215337691841280 5999147106186784000 6271835611013456000 6899019172114801600 8623773965143502000 12543671222026912000 13798038344229603200 17247547930287004000 27596076688459206400 34495095860574008000 68990191721148016000 137980383442296032000
- Sum of all divisors σ(n): 403931755171840896000
- Sum of proper divisors (its aliquot sum) s(n): 265951371729544864000
- 137980383442296032000 is an abundant number, because the sum of its proper divisors (265951371729544864000) is greater than itself. Its abundance is 127970988287248832000
Bases of 137980383442296032000
- Binary: 11101111010110111001100101110110000011110100011111011001011000000002
- Hexadecimal: 0x77ADCCBB07A3ECB00
- Base-36: T4B63SPHR4PVK
Squares and roots of 137980383442296032000
- 137980383442296032000 squared (1379803834422960320002) is 19038586214883040985106291922945024000000
- 137980383442296032000 cubed (1379803834422960320003) is 2626951426128773433062331827043644915216425869344768000000000
-
The
square root of 137980383442296032000 is 11746505158.6544681515 -
The
cube root of 137980383442296032000 is 5167404.3820896705
Scales and comparisons
How big is 137980383442296032000?- 137,980,383,442,296,032,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,980,383,442,296,032,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137980383442296032000 cubic inches would be around 430617 feet tall.
Recreational maths with 137980383442296032000
- 137980383442296032000 backwards is 000230692244383089731
- The number of decimal digits it has is: 21
- The sum of 137980383442296032000's digits is 74
- More coming soon!
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"Number 137980383442296032000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 137980383442296032000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/137980383442296032000/
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Numbermatics. 2024. "Number 137980383442296032000 - Facts about the integer". https://numbermatics.com/n/137980383442296032000/
The information we have on file for 137980383442296032000 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 137980383442296032000, math, Factors of 137980383442296032000, curriculum, school, college, exams, university, Prime factorization of 137980383442296032000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, nine hundred eighty quadrillion, three hundred eighty-three trillion, four hundred forty-two billion, two hundred ninety-six million, thirty-two thousand.