138164656601088
138,164,656,601,088 is an even composite number composed of six prime numbers multiplied together.
What does the number 138164656601088 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
138164656601088 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 138164656601088:
211 × 34 × 132 × 23 × 472 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 13 × 23 × 47 × 47 × 97)See below for interesting mathematical facts about the number 138164656601088 from the Numbermatics database.
Names of 138164656601088
- Cardinal: 138164656601088 can be written as One hundred thirty-eight trillion, one hundred sixty-four billion, six hundred fifty-six million, six hundred one thousand and eighty-eight.
Scientific notation
- Scientific notation: 1.38164656601088 × 1014
Factors of 138164656601088
Divisors of 138164656601088
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 39 46 47 48 52 54 64 69 72 78 81 92 94 96 97 104 108 117 128 138 141 144 156 162 169 184 188 192 194 207 208 216 234 256 276 282 288 291 299 312 324 338 351 368 376 384 388 414 416 423 432 468 507 512 552 564 576 582 598 611 621 624 648 676 702 736 752 768 776 828 832 846 864 873 897 936 1014 1024 1053 1081 1104 1128 1152 1164 1196 1222 1242 1248 1261 1269 1296 1352 1404 1472 1504 1521 1536 1552 1656 1664 1692 1728 1746 1794 1833 1863 1872 2028 2048 2106 2162 2208 2209 2231 2256 2304 2328 2392 2444 2484 2496 2522 2538 2592 2619 2691 2704 2808 2944 3008 3042 3072 3104 3243 3312 3328 3384 3456 3492 3588 3666 3726 3744 3783 3807 3887 4056 4212 4324 4416 4418 4462 4512 4559 4563 4608 4656 4784 4888 4968 4992 5044 5076 5184 5238 5382 5408 5499 5616 5888 6016 6084 6144 6208 6486 6624 6627 6656 6693 6768 6912 6984 7176 7332 7452 7488 7566 7614 7774 7857 7943 8073 8112 8424 8648 8832 8836 8924 9024 9118 9126 9216 9312 9568 9729 9776 9936 9984 10088 10152 10368 10476 10764 10816 10998 11232 11349 11661 11776 12032 12168 12416 12972 13248 13254 13312 13386 13536 13677 13689 13824 13968 14053 14352 14664 14904 14976 15132 15228 15548 15714 15886 16146 16224 16393 16497 16848 17296 17664 17672 17848 18048 18236 18252 18432 18624 19136 19458 19552 19872 19881 19968 20079 20176 20304 20736 20952 21528 21632 21996 22464 22698 23322 23552 23829 24064 24219 24336 24832 25944 26496 26508 26624 26772 27072 27354 27378 27648 27936 28106 28704 28717 29003 29187 29328 29808 29952 30264 30456 31096 31428 31772 32292 32448 32786 32994 33696 34047 34592 34983 35328 35344 35696 36096 36472 36504 37248 38272 38916 39104 39744 39762 39936 40158 40352 40608 41031 41472 41904 42159 43056 43264 43992 44928 45396 46644 47104 47658 48128 48438 48672 49179 49491 49664 50807 51888 52992 53016 53544 54144 54708 54756 55296 55872 56212 57408 57434 58006 58374 58656 59267 59616 59643 59904 60237 60528 60912 62192 62856 63544 64584 64896 65572 65988 67392 68094 69184 69966 70656 70688 71392 71487 72192 72944 73008 74496 76544 77832 78208 79488 79524 79872 80316 80704 81216 82062 82944 83808 84318 86112 86151 86528 87009 87561 87984 89856 90792 93288 95316 96256 96876 97344 98358 98982 99328 101614 102141 103776 104857 104949 105984 106032 107088 108288 109416 109512 111744 112424 114816 114868 116012 116748 117312 118534 119232 119286 119808 120474 121056 121824 123093 124384 125712 126477 127088 129168 129792 131144 131976 134784 136188 138368 139932 141312 141376 142784 142974 144384 145888 146016 147537 148992 152421 153088 155664 156416 158976 159048 160632 161408 162432 164124 165888 167616 168636 172224 172302 173056 174018 175122 175968 177801 178929 179712 180711 181584 182689 186576 190632 193752 194688 196716 197964 198656 203228 204282 207552 209714 209898 211968 212064 214176 214273 214461 216576 218832 219024 223488 224848 229632 229736 232024 233496 234624 237068 238464 238572 239616 240948 242112 243648 246186 248768 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83432763648 89023618944 89950948308 90838038528 91864798272 93861859104 98407875072 102192793344 106608531328 108876797952 109567531008 110708859456 111243684864 113064367104 115522288128 118698158592 119934597744 122486397696 125149145472 127811893248 131210500096 134926422462 136257057792 147611812608 154029717504 158264211456 159912796992 163315196928 166063289184 166865527296 178047237888 179901896616 183729596544 187723718208 196815750144 204385586688 213217062656 221417718912 222487369728 226128734208 231044576256 237396317184 239869195488 244972795392 250298290944 269852844924 272514115584 295223625216 319825593984 326630393856 332126578368 333731054592 356094475776 359803793232 367459193088 375447436416 393631500288 408771173376 426434125312 442835437824 462089152512 474792634368 479738390976 489945590784 500596581888 539705689848 590447250432 639651187968 664253156736 667462109184 712188951552 719607586464 734918386176 750894872832 817542346752 852868250624 885670875648 959476781952 979891181568 1001193163776 1079411379696 1180894500864 1279302375936 1328506313472 1424377903104 1439215172928 1469836772352 1501789745664 1705736501248 1771341751296 1918953563904 2002386327552 2158822759392 2558604751872 2657012626944 2878430345856 2939673544704 3003579491328 3542683502592 3837907127808 4317645518784 5117209503744 5314025253888 5756860691712 6007158982656 7675814255616 8635291037568 10628050507776 11513721383424 15351628511232 17270582075136 23027442766848 34541164150272 46054885533696 69082328300544 138164656601088
- Sum of all divisors σ(n): 481348078651440
- Sum of proper divisors (its aliquot sum) s(n): 343183422050352
- 138164656601088 is an abundant number, because the sum of its proper divisors (343183422050352) is greater than itself. Its abundance is 205018765449264
Bases of 138164656601088
- Binary: 111110110101000111101110100011011111000000000002
- Hexadecimal: 0x7DA8F746F800
- Base-36: 1CZ3YT8G00
Squares and roots of 138164656601088
- 138164656601088 squared (1381646566010882) is 19089472333696569852762783744
- 138164656601088 cubed (1381646566010883) is 2637490389681156528203944445249628219113472
-
The
square root of 138164656601088 is 11754346.2855697765 -
The
cube root of 138164656601088 is 51697.0371943993
Scales and comparisons
How big is 138164656601088?- 138,164,656,601,088 seconds is equal to 4,393,208 years, 36 weeks, 5 days, 22 hours, 4 minutes, 48 seconds.
-
To count from 1 to 138,164,656,601,088 would take you about ten million, nine hundred eighty-three thousand and twenty-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 138164656601088 cubic inches would be around 4308.1 feet tall.
Recreational maths with 138164656601088
- 138164656601088 backwards is 880106656461831
- The number of decimal digits it has is: 15
- The sum of 138164656601088's digits is 63
- More coming soon!
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MLA style:
"Number 138164656601088 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 138164656601088 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138164656601088/
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Numbermatics. 2024. "Number 138164656601088 - Facts about the integer". https://numbermatics.com/n/138164656601088/
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