137982951025920
137,982,951,025,920 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137982951025920 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
137982951025920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137982951025920:
28 × 32 × 5 × 7 × 11 × 13 × 31 × 385991
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 13 × 31 × 385991)See below for interesting mathematical facts about the number 137982951025920 from the Numbermatics database.
Names of 137982951025920
- Cardinal: 137982951025920 can be written as One hundred thirty-seven trillion, nine hundred eighty-two billion, nine hundred fifty-one million, twenty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3798295102592 × 1014
Factors of 137982951025920
Divisors of 137982951025920
- 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 20 21 22 24 26 28 30 31 32 33 35 36 39 40 42 44 45 48 52 55 56 60 62 63 64 65 66 70 72 77 78 80 84 88 90 91 93 96 99 104 105 110 112 117 120 124 126 128 130 132 140 143 144 154 155 156 160 165 168 176 180 182 186 192 195 198 208 210 217 220 224 231 234 240 248 252 256 260 264 273 279 280 286 288 308 310 312 315 320 330 336 341 352 360 364 372 384 385 390 396 403 416 420 429 434 440 448 455 462 465 468 480 495 496 504 520 528 546 558 560 572 576 585 616 620 624 630 640 651 660 672 682 693 704 715 720 728 744 768 770 780 792 806 819 832 840 858 868 880 896 910 924 930 936 960 990 992 1001 1008 1023 1040 1056 1085 1092 1116 1120 1144 1152 1155 1170 1209 1232 1240 1248 1260 1280 1287 1302 1320 1344 1364 1365 1386 1395 1408 1430 1440 1456 1488 1540 1560 1584 1612 1638 1664 1680 1705 1716 1736 1760 1792 1820 1848 1860 1872 1920 1953 1980 1984 2002 2015 2016 2046 2080 2112 2145 2170 2184 2232 2240 2288 2304 2310 2340 2387 2418 2464 2480 2496 2520 2574 2604 2640 2688 2728 2730 2772 2790 2816 2821 2860 2880 2912 2976 3003 3069 3080 3120 3168 3224 3255 3276 3328 3360 3410 3432 3465 3472 3520 3627 3640 3696 3720 3744 3840 3906 3960 3968 4004 4030 4032 4092 4095 4160 4224 4290 4340 4368 4433 4464 4480 4576 4620 4680 4774 4836 4928 4960 4992 5005 5040 5115 5148 5208 5280 5376 5456 5460 5544 5580 5642 5720 5760 5824 5952 6006 6045 6138 6160 6240 6336 6435 6448 6510 6552 6720 6820 6864 6930 6944 7040 7161 7254 7280 7392 7440 7488 7812 7920 7936 8008 8060 8064 8184 8190 8320 8448 8463 8580 8680 8736 8866 8928 8960 9009 9152 9240 9360 9548 9672 9765 9856 9920 9984 10010 10080 10230 10296 10416 10560 10912 10920 11088 11160 11284 11440 11520 11648 11904 11935 12012 12090 12276 12320 12480 12672 12870 12896 13020 13104 13299 13440 13640 13728 13860 13888 14080 14105 14322 14508 14560 14784 14880 14976 15015 15345 15624 15840 16016 16120 16128 16368 16380 16640 16926 17160 17360 17472 17732 17856 18018 18135 18304 18480 18720 19096 19344 19530 19712 19840 20020 20160 20460 20592 20832 21120 21483 21824 21840 22165 22176 22320 22568 22880 23296 23808 23870 24024 24180 24552 24640 24960 25344 25389 25740 25792 26040 26208 26598 26880 27280 27456 27720 27776 28210 28644 29016 29120 29568 29760 29952 30030 30690 31031 31248 31680 32032 32240 32736 32760 33852 34320 34720 34944 35464 35712 35805 36036 36270 36608 36960 37440 38192 38688 39060 39680 39897 40040 40320 40920 41184 41664 42240 42315 42966 43648 43680 44330 44352 44640 45045 45136 45760 47740 48048 48360 49104 49280 49920 50778 51480 51584 52080 52416 53196 54560 54912 55440 55552 56420 57288 58032 58240 59136 59520 60060 61380 62062 62496 63360 64064 64480 65472 65520 66495 67704 68640 69440 69888 70928 71424 71610 72072 72540 73920 74880 76384 77376 78120 79794 80080 80640 81840 82368 83328 84630 85932 87296 87360 88660 88704 89280 90090 90272 91520 93093 95480 96096 96720 98208 98560 101556 102960 103168 104160 104832 106392 107415 109120 109824 110880 112840 114576 116064 116480 119040 120120 122760 124124 124992 126720 126945 128128 128960 130944 131040 132990 135408 137280 138880 141856 143220 144144 145080 147840 149760 152768 154752 155155 156240 159588 160160 163680 164736 166656 169260 171864 174720 177320 177408 178560 180180 180544 183040 186186 190960 192192 193440 196416 199485 203112 205920 208320 209664 212784 214830 218240 221760 225680 229152 232128 240240 245520 248248 249984 253890 256256 257920 261888 262080 265980 270816 274560 277760 279279 283712 286440 288288 290160 295680 305536 309504 310310 312480 319176 320320 327360 329472 338520 343728 349440 354640 357120 360360 361088 372372 381920 384384 385991 386880 392832 398970 406224 411840 416640 425568 429660 436480 443520 451360 458304 464256 465465 480480 491040 496496 499968 507780 515840 524160 531960 541632 549120 558558 567424 572880 576576 580320 611072 620620 624960 638352 640640 654720 677040 687456 709280 720720 722176 744744 763840 768768 771982 773760 785664 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252716027520 261331346640 265351828896 273775696480 278191433520 278753436416 287464481304 294835365440 296737529088 298664396160 303259233024 307997658540 313597615968 317933066880 321638580480 328530835776 331689786120 342389456640 348441795520 353802438528 358397275392 359330601630 370921911360 379074041280 383285975072 391997019960 404642085120 410663544720 418130154624 431196721956 438041114368 442253048160 445106293632 447996594240 479107468840 482457870720 492796253664 494562548480 505432055040 522662693280 530703657792 538995902445 547551392960 556382867040 574928962608 589670730880 597328792320 615995317080 627195231936 635866133760 657061671552 663379572240 696883591040 707604877056 718661203260 741843822720 758148082560 766571950144 783994039920 821327089440 836260309248 862393443912 884506096320 890212587264 895993188480 958214937680 964915741440 985592507328 1045325386560 1061407315584 1077991804890 1095102785920 1112765734080 1149857925216 1179341461760 1231990634160 1254390463872 1314123343104 1326759144480 1393767182080 1437322406520 1483687645440 1516296165120 1533143900288 1567988079840 1642654178880 1724786887824 1769012192640 1791986376960 1916429875360 1971185014656 2090650773120 2122814631168 2155983609780 2190205571840 2225531468160 2299715850432 2463981268320 2508780927744 2653518288960 2874644813040 3066287800576 3135976159680 3285308357760 3449573775648 3538024385280 3832859750720 3942370029312 4181301546240 4311967219560 4451062936320 4599431700864 4927962536640 5307036577920 5749289626080 6271952319360 6570616715520 6899147551296 7665719501440 8623934439120 9198863401728 9855925073280 10614073155840 11498579252160 12543904638720 13798295102592 15331439002880 17247868878240 19711850146560 22997158504320 27596590205184 34495737756480 45994317008640 68991475512960 137982951025920
- Sum of all divisors σ(n): 661672451801088
- Sum of proper divisors (its aliquot sum) s(n): 523689500775168
- 137982951025920 is an abundant number, because the sum of its proper divisors (523689500775168) is greater than itself. Its abundance is 385706549749248
Bases of 137982951025920
- Binary: 111110101111110101010001100011111101101000000002
- Hexadecimal: 0x7D7EA8C7ED00
- Base-36: 1CWSHQFCW0
Squares and roots of 137982951025920
- 137982951025920 squared (1379829510259202) is 19039294773821437180511846400
- 137982951025920 cubed (1379829510259203) is 2627098078344257969765595908449593458688000
-
The
square root of 137982951025920 is 11746614.4495305539 -
The
cube root of 137982951025920 is 51674.3643413515
Scales and comparisons
How big is 137982951025920?- 137,982,951,025,920 seconds is equal to 4,387,431 years, 1 week, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 137,982,951,025,920 would take you about ten million, nine hundred sixty-eight thousand, five hundred seventy-seven 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 137982951025920 cubic inches would be around 4306.2 feet tall.
Recreational maths with 137982951025920
- 137982951025920 backwards is 029520159289731
- 137982951025920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137982951025920's digits is 63
- More coming soon!
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"Number 137982951025920 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 137982951025920 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/137982951025920/
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The information we have on file for 137982951025920 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!
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