137039361490944
137,039,361,490,944 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137039361490944 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
137039361490944 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 137039361490944:
214 × 34 × 11 × 17 × 31 × 47 × 379
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 17 × 31 × 47 × 379)See below for interesting mathematical facts about the number 137039361490944 from the Numbermatics database.
Names of 137039361490944
- Cardinal: 137039361490944 can be written as One hundred thirty-seven trillion, thirty-nine billion, three hundred sixty-one million, four hundred ninety thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.37039361490944 × 1014
Factors of 137039361490944
Divisors of 137039361490944
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 31 32 33 34 36 44 47 48 51 54 62 64 66 68 72 81 88 93 94 96 99 102 108 124 128 132 136 141 144 153 162 176 186 187 188 192 198 204 216 248 256 264 272 279 282 288 297 306 324 341 352 372 374 376 379 384 396 408 423 432 459 496 512 517 527 528 544 558 561 564 576 594 612 648 682 704 744 748 752 758 768 792 799 816 837 846 864 891 918 992 1023 1024 1034 1054 1056 1088 1116 1122 1128 1137 1152 1188 1224 1269 1296 1364 1377 1408 1457 1488 1496 1504 1516 1536 1551 1581 1584 1598 1632 1674 1683 1692 1728 1782 1836 1984 2046 2048 2068 2108 2112 2176 2232 2244 2256 2274 2304 2376 2397 2448 2511 2538 2592 2728 2754 2816 2914 2976 2992 3008 3032 3069 3072 3102 3162 3168 3196 3264 3348 3366 3384 3411 3456 3564 3672 3807 3968 4092 4096 4136 4169 4216 4224 4352 4371 4464 4488 4512 4548 4608 4653 4743 4752 4794 4896 5022 5049 5076 5184 5456 5508 5632 5797 5828 5952 5984 6016 6064 6138 6144 6204 6324 6336 6392 6443 6528 6696 6732 6768 6822 6912 7128 7191 7344 7614 7936 8184 8192 8272 8338 8432 8448 8704 8742 8789 8928 8976 9024 9096 9207 9216 9306 9486 9504 9588 9792 10044 10098 10152 10233 10368 10912 11016 11264 11594 11656 11749 11904 11968 12032 12128 12276 12288 12408 12507 12648 12672 12784 12886 13056 13113 13392 13464 13536 13644 13824 13959 14229 14256 14382 14688 15147 15228 15872 16027 16368 16384 16544 16676 16864 16896 17391 17408 17484 17578 17813 17856 17952 18048 18192 18414 18432 18612 18972 19008 19176 19329 19584 20088 20196 20304 20466 20736 21573 21824 22032 22528 23188 23312 23498 23808 23936 24064 24256 24552 24576 24769 24816 25014 25296 25344 25568 25772 26112 26226 26367 26784 26928 27072 27288 27621 27648 27918 28458 28512 28764 29376 30294 30456 30699 31744 32054 32736 33088 33352 33728 33792 34782 34816 34968 35156 35247 35626 35712 35904 36096 36384 36828 36864 37224 37521 37944 38016 38352 38658 39168 39339 40176 40392 40608 40932 41472 41877 42687 43146 43648 44064 45056 46376 46624 46996 47616 47872 48081 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107990040576 111960262656 115352997888 118957779072 120527142912 121488795648 122138468352 122795126784 125955295488 129772122624 130018369536 132533231616 133827501456 133958320128 138144517632 149280350208 153803997184 158610372096 161985060864 163726835712 167940393984 171513593856 173029496832 178436668608 180790714368 182233193472 183207702528 184192690176 194658183936 200937480192 211480496128 223920525312 230705995776 237915558144 242977591296 244276936704 245590253568 251910590976 259544245248 260036739072 265066463232 267655002912 276289035264 298560700416 317220744192 323970121728 335880787968 346058993664 356873337216 361581428736 364466386944 366415405056 368385380352 389316367872 401874960384 422960992256 447841050624 461411991552 475831116288 485955182592 491180507136 503821181952 519088490496 535310005824 552578070528 634441488384 671761575936 692117987328 713746674432 728932773888 732830810112 736770760704 778632735744 845921984512 895682101248 951662232576 971910365184 1007642363904 1038176980992 1070620011648 1105156141056 1268882976768 1343523151872 1384235974656 1427493348864 1457865547776 1473541521408 1557265471488 1691843969024 1903324465152 2015284727808 2076353961984 2141240023296 2210312282112 2537765953536 2687046303744 2854986697728 2915731095552 3114530942976 3806648930304 4030569455616 4152707923968 4282480046592 4420624564224 5075531907072 5709973395456 6229061885952 7613297860608 8061138911232 8564960093184 11419946790912 12458123771904 15226595721216 17129920186368 22839893581824 34259840372736 45679787163648 68519680745472 137039361490944
- Sum of all divisors σ(n): 499862566748160
- Sum of proper divisors (its aliquot sum) s(n): 362823205257216
- 137039361490944 is an abundant number, because the sum of its proper divisors (362823205257216) is greater than itself. Its abundance is 225783843766272
Bases of 137039361490944
- Binary: 111110010100010111101100111011001000000000000002
- Hexadecimal: 0x7CA2F6764000
- Base-36: 1CKR0HKW00
Squares and roots of 137039361490944
- 137039361490944 squared (1370393614909442) is 18779786597845625334594011136
- 137039361490944 cubed (1370393614909443) is 2573569964304952023990897164771246299152384
-
The
square root of 137039361490944 is 11706381.2295236653 -
The
cube root of 137039361490944 is 51556.3039590877
Scales and comparisons
How big is 137039361490944?- 137,039,361,490,944 seconds is equal to 4,357,427 years, 41 weeks, 5 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 137,039,361,490,944 would take you about ten million, eight hundred ninety-three thousand, five hundred sixty-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 137039361490944 cubic inches would be around 4296.4 feet tall.
Recreational maths with 137039361490944
- 137039361490944 backwards is 449094163930731
- The number of decimal digits it has is: 15
- The sum of 137039361490944's digits is 63
- More coming soon!
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Cite this page
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"Number 137039361490944 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 137039361490944 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/137039361490944/
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The information we have on file for 137039361490944 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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