138097602960768
138,097,602,960,768 is an even composite number composed of six prime numbers multiplied together.
What does the number 138097602960768 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
138097602960768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138097602960768:
27 × 34 × 112 × 19 × 292 × 832
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 19 × 29 × 29 × 83 × 83)See below for interesting mathematical facts about the number 138097602960768 from the Numbermatics database.
Names of 138097602960768
- Cardinal: 138097602960768 can be written as One hundred thirty-eight trillion, ninety-seven billion, six hundred two million, nine hundred sixty thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38097602960768 × 1014
Factors of 138097602960768
Divisors of 138097602960768
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 29 32 33 36 38 44 48 54 57 58 64 66 72 76 81 83 87 88 96 99 108 114 116 121 128 132 144 152 162 166 171 174 176 192 198 209 216 228 232 242 249 261 264 288 297 304 319 324 332 342 348 352 363 384 396 418 432 456 464 484 498 513 522 528 551 576 594 608 627 638 648 664 684 696 704 726 747 783 792 836 841 864 891 912 913 928 957 968 996 1026 1044 1056 1089 1102 1152 1188 1216 1254 1276 1296 1328 1368 1392 1408 1452 1494 1539 1566 1577 1584 1653 1672 1682 1728 1782 1824 1826 1856 1881 1914 1936 1992 2052 2088 2112 2178 2204 2241 2299 2349 2376 2407 2432 2508 2523 2552 2592 2656 2736 2739 2784 2871 2904 2988 3078 3132 3154 3168 3267 3306 3344 3364 3456 3509 3564 3648 3652 3712 3762 3828 3872 3984 4104 4176 4224 4356 4408 4482 4598 4698 4731 4752 4814 4959 5016 5046 5104 5184 5312 5472 5478 5568 5643 5742 5808 5976 6061 6156 6264 6308 6336 6534 6612 6688 6723 6728 6889 6897 7018 7128 7221 7296 7304 7524 7569 7656 7744 7968 8208 8217 8352 8613 8712 8816 8964 9196 9251 9396 9462 9504 9628 9801 9918 10032 10043 10092 10208 10368 10527 10624 10944 10956 11136 11286 11484 11616 11952 12122 12312 12528 12616 12672 13068 13224 13376 13446 13456 13778 13794 14036 14193 14256 14442 14608 14877 15048 15138 15312 15488 15936 15979 16416 16434 16704 16929 17226 17347 17424 17632 17928 18183 18392 18502 18792 18924 19008 19256 19602 19836 20064 20086 20184 20416 20667 20691 21054 21663 21888 21912 22572 22707 22968 23232 23904 24244 24624 24651 25056 25232 25839 26136 26448 26477 26752 26892 26912 27556 27588 27753 28072 28386 28512 28884 29216 29754 30096 30129 30276 30624 31581 31872 31958 32832 32868 33408 33858 34452 34694 34848 35264 35856 36366 36784 37004 37584 37848 38016 38512 39204 39672 40128 40172 40368 40832 41334 41382 42108 42579 43326 43824 44631 45144 45414 45733 45936 46464 47808 47937 48488 49248 49302 50112 50464 51678 52041 52272 52896 52954 53784 53824 54549 55112 55176 55506 56144 56772 57024 57768 58432 59508 60192 60258 60552 61248 62001 62073 63162 63916 64989 65664 65736 66671 67716 68121 68904 69388 69696 69803 70528 71712 72732 73568 73953 74008 75168 75696 75779 77024 78408 79344 79431 80256 80344 80736 82668 82764 83259 84216 85158 86652 87648 89262 90288 90387 90828 91466 91872 94743 95616 95874 96976 98496 98604 100224 100928 101761 103356 104082 104544 105792 105908 107568 107648 109098 110224 110352 111012 112288 113544 114048 115536 116864 119016 120384 120516 121104 122496 124002 124146 126324 127737 127832 129978 130891 131472 133342 135432 136242 137199 137808 138776 139392 139606 143424 143811 145464 147136 147906 148016 150336 151392 151558 154048 156123 156816 158688 158862 160688 161472 163647 165336 165528 166518 168432 170316 173304 175296 175769 178524 180576 180774 181656 182932 183744 186003 186219 189486 190817 191748 193952 194967 196992 197208 199781 200013 201856 203522 206712 208164 209088 209409 211584 211816 215136 218196 220448 220704 222024 224576 227088 227337 231072 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106556792408 108226961568 110125680192 113567107698 116243773536 119876391459 125315429184 126811389312 130774245228 132277397472 134598053568 138652211808 142662812976 144302615424 148812072156 151256958336 151422810264 154991698048 159835188612 164206424448 165188520288 174365660304 176369863296 184869615744 190217083968 196161367842 198416096208 201897080352 207978317712 213113584816 216453923136 220251360384 227134215396 232487547072 239752782918 250630858368 261548490456 264554794944 269196107136 277304423616 285325625952 297624144312 302845620528 319670377224 330377040576 348731320608 359629174377 380434167936 392322735684 396832192416 403794160704 415956635424 426227169632 432907846272 454268430792 464975094144 479505565836 523096980912 529109589888 554608847232 570651251904 595248288624 605691241056 639340754448 660754081152 697462641216 719258348754 784645471368 793664384832 807588321408 831913270848 852454339264 908536861584 959011131672 1046193961824 1078887523131 1141302503808 1190496577248 1211382482112 1278681508896 1394925282432 1438516697508 1569290942736 1587328769664 1663826541696 1704908678528 1817073723168 1918022263344 2092387923648 2157775046262 2380993154496 2422764964224 2557363017792 2877033395016 3138581885472 3634147446336 3836044526688 4184775847296 4315550092524 4761986308992 5114726035584 5754066790032 6277163770944 7268294892672 7672089053376 8631100185048 11508133580064 12554327541888 15344178106752 17262200370096 23016267160128 34524400740192 46032534320256 69048801480384 138097602960768
- Sum of all divisors σ(n): 498476865786900
- Sum of proper divisors (its aliquot sum) s(n): 360379262826132
- 138097602960768 is an abundant number, because the sum of its proper divisors (360379262826132) is greater than itself. Its abundance is 222281659865364
Bases of 138097602960768
- Binary: 111110110011001010110101001000110011101100000002
- Hexadecimal: 0x7D995A919D80
- Base-36: 1CY95V8800
Squares and roots of 138097602960768
- 138097602960768 squared (1380976029607682) is 19070947943509918679747149824
- 138097602960768 cubed (1380976029607683) is 2633652197188307746678224907132431690104832
-
The
square root of 138097602960768 is 11751493.6480758905 -
The
cube root of 138097602960768 is 51688.6726928117
Scales and comparisons
How big is 138097602960768?- 138,097,602,960,768 seconds is equal to 4,391,076 years, 31 weeks, 5 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,097,602,960,768 would take you about ten million, nine hundred seventy-seven thousand, six hundred ninety-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 138097602960768 cubic inches would be around 4307.4 feet tall.
Recreational maths with 138097602960768
- 138097602960768 backwards is 867069206790831
- 138097602960768 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138097602960768's digits is 72
- More coming soon!
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MLA style:
"Number 138097602960768 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 138097602960768 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138097602960768/
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Numbermatics. 2024. "Number 138097602960768 - Facts about the integer". https://numbermatics.com/n/138097602960768/
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