138578837409792
138,578,837,409,792 is an even composite number composed of six prime numbers multiplied together.
What does the number 138578837409792 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2496 divisors.
138578837409792 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 138578837409792:
212 × 33 × 132 × 193 × 23 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 19 × 19 × 19 × 23 × 47)See below for interesting mathematical facts about the number 138578837409792 from the Numbermatics database.
Names of 138578837409792
- Cardinal: 138578837409792 can be written as One hundred thirty-eight trillion, five hundred seventy-eight billion, eight hundred thirty-seven million, four hundred nine thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 1.38578837409792 × 1014
Factors of 138578837409792
Divisors of 138578837409792
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 23 24 26 27 32 36 38 39 46 47 48 52 54 57 64 69 72 76 78 92 94 96 104 108 114 117 128 138 141 144 152 156 169 171 184 188 192 207 208 216 228 234 247 256 276 282 288 299 304 312 338 342 351 361 368 376 384 414 416 423 432 437 456 468 494 507 512 513 552 564 576 598 608 611 621 624 676 684 702 722 736 741 752 768 828 832 846 864 874 893 897 912 936 988 1014 1024 1026 1081 1083 1104 1128 1152 1196 1216 1222 1242 1248 1269 1311 1352 1368 1404 1444 1472 1482 1504 1521 1536 1656 1664 1692 1728 1748 1786 1794 1824 1833 1872 1976 2028 2048 2052 2162 2166 2208 2223 2256 2304 2392 2432 2444 2484 2496 2538 2622 2679 2691 2704 2736 2808 2888 2944 2964 3008 3042 3072 3211 3243 3249 3312 3328 3384 3456 3496 3572 3588 3648 3666 3744 3887 3933 3952 4056 4096 4104 4324 4332 4416 4446 4512 4563 4608 4693 4784 4864 4888 4968 4992 5076 5244 5358 5382 5408 5472 5499 5616 5681 5776 5888 5928 6016 6084 6144 6422 6486 6498 6624 6656 6669 6768 6859 6912 6992 7144 7176 7296 7332 7488 7774 7866 7904 7943 8037 8073 8112 8208 8303 8648 8664 8832 8892 9024 9126 9216 9386 9568 9633 9728 9729 9747 9776 9936 9984 10152 10488 10716 10764 10816 10944 10998 11232 11362 11552 11609 11661 11776 11799 11856 12032 12168 12288 12844 12972 12996 13248 13312 13338 13536 13718 13824 13984 14053 14079 14288 14352 14592 14664 14976 15548 15732 15808 15886 16074 16146 16224 16416 16497 16606 16967 17043 17296 17328 17664 17784 18048 18252 18432 18772 19136 19266 19456 19458 19494 19552 19872 19968 20304 20539 20577 20976 21432 21528 21632 21888 21996 22464 22724 23104 23218 23322 23552 23598 23712 23829 24064 24111 24336 24909 25688 25944 25992 26496 26624 26676 27072 27436 27648 27968 28106 28158 28576 28704 28899 29184 29187 29328 29952 31096 31464 31616 31772 32148 32292 32448 32832 32994 33212 33934 34086 34592 34656 34827 34983 35328 35568 36096 36504 36864 37544 38272 38532 38912 38916 38988 39104 39744 39936 40608 41078 41154 41952 42159 42237 42864 43056 43264 43776 43992 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140261981184 148054313472 151950479616 154491457536 155183468544 158557022208 160392172928 163804772352 166561102656 167365745664 180441194544 184280368896 187015974912 188286463872 191937447936 197405751296 202600639488 204998280192 222081470208 223154327552 226806607872 227925719424 231737186304 240588259392 245707158528 251048618496 270134185984 270661791816 273331040256 280523962368 296108626944 303900959232 317114044416 320784345856 327609544704 333122205312 334731491328 360882389088 368560737792 376572927744 383874895872 394811502592 405201278976 409996560384 444162940416 455851438848 463474372608 481176518784 491414317056 502097236992 541323583632 561047924736 592217253888 607801918464 641568691712 666244410624 669462982656 721764778176 737121475584 753145855488 810402557952 819993120768 888325880832 911702877696 962353037568 982828634112 1004194473984 1082647167264 1184434507776 1215603836928 1283137383424 1332488821248 1443529556352 1474242951168 1506291710976 1776651761664 1823405755392 1924706075136 2008388947968 2165294334528 2431207673856 2566274766848 2664977642496 2887059112704 2948485902336 3012583421952 3553303523328 3646811510784 3849412150272 4330588669056 5132549533696 5329955284992 5774118225408 6025166843904 7293623021568 7698824300544 8661177338112 10659910569984 11548236450816 15397648601088 17322354676224 23096472901632 34644709352448 46192945803264 69289418704896 138578837409792
- Sum of all divisors σ(n): 500079500697600
- Sum of proper divisors (its aliquot sum) s(n): 361500663287808
- 138578837409792 is an abundant number, because the sum of its proper divisors (361500663287808) is greater than itself. Its abundance is 222921825878016
Bases of 138578837409792
- Binary: 111111000001001011001100110000010010000000000002
- Hexadecimal: 0x7E0966609000
- Base-36: 1D4E8LSLC0
Squares and roots of 138578837409792
- 138578837409792 squared (1385788374097922) is 19204094177849566711737483264
- 138578837409792 cubed (1385788374097923) is 2661281044674548277195824321968410709721088
-
The
square root of 138578837409792 is 11771951.3000093575 -
The
cube root of 138578837409792 is 51748.6436399673
Scales and comparisons
How big is 138578837409792?- 138,578,837,409,792 seconds is equal to 4,406,378 years, 19 weeks, 4 days, 6 hours, 43 minutes, 12 seconds.
-
To count from 1 to 138,578,837,409,792 would take you about eleven million, fifteen thousand, nine hundred forty-five 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 138578837409792 cubic inches would be around 4312.4 feet tall.
Recreational maths with 138578837409792
- 138578837409792 backwards is 297904738875831
- The number of decimal digits it has is: 15
- The sum of 138578837409792's digits is 81
- More coming soon!
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Cite this page
MLA style:
"Number 138578837409792 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 138578837409792 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138578837409792/
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The information we have on file for 138578837409792 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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