138381149896704
138,381,149,896,704 is an even composite number composed of seven prime numbers multiplied together.
138381149896704 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 138381149896704:
215 × 34 × 11 × 13 × 19 × 31 × 619
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 13 × 19 × 31 × 619)See below for interesting mathematical facts about the number 138381149896704 from the Numbermatics database.
Names of 138381149896704
- Cardinal: 138381149896704 can be written as One hundred thirty-eight trillion, three hundred eighty-one billion, one hundred forty-nine million, eight hundred ninety-six thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.38381149896704 × 1014
Factors of 138381149896704
Divisors of 138381149896704
- Number of divisors d(n): 2560
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 19 22 24 26 27 31 32 33 36 38 39 44 48 52 54 57 62 64 66 72 76 78 81 88 93 96 99 104 108 114 117 124 128 132 143 144 152 156 162 171 176 186 192 198 208 209 216 228 234 247 248 256 264 279 286 288 297 304 312 324 341 342 351 352 372 384 396 403 416 418 429 432 456 468 494 496 512 513 528 558 572 576 589 594 608 619 624 627 648 682 684 702 704 741 744 768 792 806 832 836 837 858 864 891 912 936 988 992 1023 1024 1026 1053 1056 1116 1144 1152 1178 1188 1209 1216 1238 1248 1254 1287 1296 1364 1368 1404 1408 1482 1488 1536 1539 1584 1612 1664 1672 1674 1716 1728 1767 1782 1824 1857 1872 1881 1976 1984 2046 2048 2052 2106 2112 2223 2232 2288 2304 2356 2376 2418 2432 2476 2496 2508 2511 2574 2592 2717 2728 2736 2808 2816 2964 2976 3069 3072 3078 3168 3224 3328 3344 3348 3432 3456 3534 3564 3627 3648 3714 3744 3762 3861 3952 3968 4092 4096 4104 4212 4224 4433 4446 4464 4576 4608 4712 4752 4836 4864 4952 4992 5016 5022 5148 5184 5301 5434 5456 5472 5571 5616 5632 5643 5928 5952 6138 6144 6156 6336 6448 6479 6656 6669 6688 6696 6809 6864 6912 7068 7128 7254 7296 7428 7488 7524 7657 7722 7904 7936 8047 8151 8184 8192 8208 8424 8448 8866 8892 8928 9152 9207 9216 9424 9504 9672 9728 9904 9984 10032 10044 10296 10368 10602 10868 10881 10912 10944 11142 11232 11264 11286 11583 11761 11856 11904 12276 12288 12312 12672 12896 12958 13299 13312 13338 13376 13392 13618 13728 13824 14136 14256 14508 14592 14856 14976 15048 15314 15444 15808 15872 15903 16094 16302 16368 16384 16416 16713 16848 16896 16929 17732 17784 17856 18304 18414 18432 18848 19008 19189 19344 19437 19456 19808 19968 20007 20064 20088 20427 20592 20736 21204 21736 21762 21824 21888 22284 22464 22528 22572 22971 23166 23522 23712 23808 24141 24453 24552 24576 24624 25344 25792 25916 26598 26624 26676 26752 26784 27236 27456 27621 27648 28272 28512 29016 29184 29712 29952 30096 30628 30888 31616 31744 31806 32188 32604 32643 32736 32768 32832 33426 33696 33792 33858 35283 35464 35568 35712 36608 36828 36864 37696 38016 38378 38688 38874 38912 39616 39897 39936 40014 40128 40176 40854 41184 41472 42408 43472 43524 43648 43776 44568 44928 45056 45144 45942 46332 47044 47424 47616 47709 48282 48906 49104 49152 49248 50139 50688 51584 51832 53196 53248 53352 53504 53568 54472 54912 55242 55296 56544 57024 57567 58032 58311 58368 59424 59904 60192 61256 61281 61776 63232 63488 63612 64376 65208 65286 65472 65664 66852 67392 67584 67716 68913 70566 70928 71136 71424 72423 73216 73359 73656 73728 75392 76032 76756 77376 77748 77824 79232 79794 79872 80028 80256 80352 81708 82368 82944 84227 84816 86944 87048 87296 87552 88517 89136 89856 90112 90288 91884 92664 94088 94848 95232 95418 96564 97812 98208 98304 98496 100278 101376 103168 103664 105849 106392 106496 106704 107008 107136 108944 109824 110484 110592 113088 114048 115134 116064 116622 116736 118848 119691 119808 120384 122512 122562 123552 126464 126976 127224 128752 129371 130416 130572 130944 131328 133704 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83161748736 85844385792 87361837056 89916276736 90091894464 92998084608 93374595072 98282066688 98562072576 101155811328 101452455936 106775578624 107522260992 110351794176 110882331648 111777988608 113800287744 114459181056 116482449408 117471264768 120122525952 120962543616 123997446144 131042755584 131416096768 134874415104 135137841696 135269941248 139497126912 140061892608 147843108864 151733716992 155309932544 160163367936 161283391488 165329928192 165527691264 166323497472 171688771584 174723674112 180183788928 185996169216 186749190144 196564133376 197124145152 202311622656 202904911872 213551157248 220703588352 221764663296 223555977216 227600575488 232964898816 234942529536 240245051904 241925087232 247994892288 262085511168 269748830208 270275683392 278994253824 280123785216 295686217728 303467433984 320326735872 322566782976 331055382528 332646994944 343377543168 349447348224 360367577856 371992338432 393128266752 394248290304 404623245312 405809823744 427102314496 443529326592 455201150976 465929797632 480490103808 483850174464 495989784576 524171022336 540551366784 557988507648 560247570432 591372435456 606934867968 640653471744 662110765056 665293989888 698894696448 720735155712 743984676864 786256533504 809246490624 854204628992 887058653184 910402301952 960980207616 967700348928 1048342044672 1081102733568 1115977015296 1182744870912 1213869735936 1281306943488 1330587979776 1397789392896 1441470311424 1487969353728 1572513067008 1708409257984 1774117306368 1820804603904 1921960415232 2096684089344 2162205467136 2231954030592 2427739471872 2562613886976 2661175959552 2882940622848 3145026134016 3548234612736 3641609207808 3843920830464 4193368178688 4324410934272 4463908061184 5125227773952 5322351919104 5765881245696 6290052268032 7283218415616 7687841660928 8648821868544 10644703838208 11531762491392 12580104536064 15375683321856 17297643737088 23063524982784 34595287474176 46127049965568 69190574948352 138381149896704
- Sum of all divisors σ(n): 528615166464000
- Sum of proper divisors (its aliquot sum) s(n): 390234016567296
- 138381149896704 is an abundant number, because the sum of its proper divisors (390234016567296) is greater than itself. Its abundance is 251852866670592
Bases of 138381149896704
- Binary: 111110111011011010111110100100010000000000000002
- Hexadecimal: 0x7DDB5F488000
- Base-36: 1D1VF7R400
Squares and roots of 138381149896704
- 138381149896704 squared (1383811498967042) is 19149342646734061469870063616
- 138381149896704 cubed (1383811498967043) is 2649908055221052672334268140163540308721664
-
The
square root of 138381149896704 is 11763551.7551759851 -
The
cube root of 138381149896704 is 51724.0248520171
Scales and comparisons
How big is 138381149896704?- 138,381,149,896,704 seconds is equal to 4,400,092 years, 27 weeks, 2 days, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 138,381,149,896,704 would take you about eleven million, two hundred thirty-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 138381149896704 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138381149896704
- 138381149896704 backwards is 407698941183831
- 138381149896704 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138381149896704's digits is 72
- More coming soon!
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"Number 138381149896704 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138381149896704 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138381149896704/
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The information we have on file for 138381149896704 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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