138104527601664
138,104,527,601,664 is an even composite number composed of six prime numbers multiplied together.
What does the number 138104527601664 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1620 divisors.
138104527601664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138104527601664:
214 × 32 × 132 × 19 × 31 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 19 × 31 × 97 × 97)See below for interesting mathematical facts about the number 138104527601664 from the Numbermatics database.
Names of 138104527601664
- Cardinal: 138104527601664 can be written as One hundred thirty-eight trillion, one hundred four billion, five hundred twenty-seven million, six hundred one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.38104527601664 × 1014
Factors of 138104527601664
Divisors of 138104527601664
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 31 32 36 38 39 48 52 57 62 64 72 76 78 93 96 97 104 114 117 124 128 144 152 156 169 171 186 192 194 208 228 234 247 248 256 279 288 291 304 312 338 342 372 384 388 403 416 456 468 494 496 507 512 558 576 582 589 608 624 676 684 741 744 768 776 806 832 873 912 936 988 992 1014 1024 1116 1152 1164 1178 1209 1216 1248 1261 1352 1368 1482 1488 1521 1536 1552 1612 1664 1746 1767 1824 1843 1872 1976 1984 2028 2048 2223 2232 2304 2328 2356 2418 2432 2496 2522 2704 2736 2964 2976 3007 3042 3072 3104 3211 3224 3328 3492 3534 3627 3648 3686 3744 3783 3952 3968 4056 4096 4446 4464 4608 4656 4712 4836 4864 4992 5044 5239 5301 5408 5472 5529 5928 5952 6014 6084 6144 6208 6422 6448 6656 6984 7068 7254 7296 7372 7488 7566 7657 7904 7936 8112 8192 8892 8928 9021 9216 9312 9409 9424 9633 9672 9728 9984 10088 10478 10602 10816 10944 11058 11349 11856 11904 12028 12168 12288 12416 12844 12896 13312 13968 14136 14508 14592 14744 14976 15132 15314 15717 15808 15872 16224 16384 16393 16587 17784 17856 18042 18432 18624 18818 18848 19266 19344 19456 19968 20176 20956 21204 21632 21888 22116 22698 22971 23712 23808 23959 24056 24336 24576 24832 25688 25792 26624 27063 27936 28227 28272 28899 29016 29184 29488 29952 30264 30628 31434 31616 31744 32448 32786 33174 35568 35712 36084 36864 37248 37636 37696 38532 38688 38912 39091 39936 40352 41912 42408 43264 43776 44232 45396 45942 47151 47424 47616 47918 48112 48672 49152 49179 49664 51376 51584 53248 54126 55872 56454 56544 57133 57798 58032 58368 58976 59904 60528 61256 62868 63232 63488 64896 65572 66348 68913 71136 71424 71877 72168 73728 74496 75272 75392 77064 77376 77824 78182 79872 80704 83824 84681 84816 86528 87552 88464 90792 91884 94302 94848 95232 95836 96224 97344 98358 99328 99541 102752 103168 106496 108252 111744 112908 113088 114266 115596 116064 116736 117273 117952 119808 121056 122317 122512 125736 126464 126976 129792 131144 132696 137826 142272 142848 143754 144336 147456 147537 148992 150544 150784 154128 154752 155648 156364 159744 161408 167648 169362 169632 171399 173056 175104 176928 178771 181584 183768 188604 189696 190464 191672 192448 194688 196716 198656 199082 205504 206336 212992 215631 216504 223488 225816 226176 228532 231192 232128 233472 234546 235904 239616 242112 244634 245024 251472 252928 253952 259584 262288 265392 275652 284544 285696 287508 288672 291679 295074 297984 298623 301088 301568 308256 309504 311296 311467 312728 319488 322816 335296 338724 339264 342798 346112 350208 351819 353856 357542 363168 366951 367536 377208 379392 380928 383344 384896 389376 393432 397312 398164 411008 412672 431262 433008 446976 451632 452352 457064 462384 464256 466944 469092 471808 479232 484224 489268 490048 502944 505856 507904 508183 514197 519168 524576 530784 536313 551304 569088 571392 575016 577344 583358 590148 595968 597246 602176 603136 616512 619008 622934 625456 638976 645632 670592 677448 678528 685596 692224 700416 703638 707712 715084 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31062646784 33716925684 34049439744 34804568448 34945477632 36506615808 36886893056 37467316224 37857600768 38076792832 39078813696 39548833792 41497754688 42836391936 43009818624 44492438016 44955900912 45399252992 45927677952 46406091264 46593970176 50476801024 51074159616 54759923712 55330339584 56786401152 57115189248 58618220544 59323250688 59941201216 61874788352 62125293568 67433851368 68098879488 69609136896 69890955264 73773786112 74934632448 75715201536 78157627392 79097667584 82995509376 85672783872 88984876032 89911801824 90798505984 92812182528 93187940352 100953602048 102148319232 109519847424 110660679168 113572802304 114230378496 117236441088 118646501376 119882402432 123749576704 134867702736 136197758976 139218273792 139781910528 147547572224 151430403072 158195335168 165991018752 171345567744 177969752064 179823603648 185624365056 186375880704 201907204096 204296638464 221321358336 227145604608 234472882176 237293002752 239764804864 247499153408 269735405472 272395517952 278436547584 279563821056 295095144448 302860806144 331982037504 342691135488 355939504128 359647207296 371248730112 403814408192 408593276928 442642716672 454291209216 474586005504 479529609728 494998306816 539470810944 556873095168 559127642112 590190288896 605721612288 663964075008 711879008256 719294414592 742497460224 807628816384 817186553856 885285433344 908582418432 959059219456 1078941621888 1113746190336 1180380577792 1211443224576 1327928150016 1423758016512 1438588829184 1484994920448 1770570866688 1817164836864 1918118438912 2157883243776 2227492380672 2422886449152 2655856300032 2877177658368 3541141733376 3634329673728 3836236877824 4315766487552 4454984761344 5311712600064 5754355316736 7268659347456 7672473755648 8631532975104 10623425200128 11508710633472 15344947511296 17263065950208 23017421266944 34526131900416 46034842533888 69052263800832 138104527601664
- Sum of all divisors σ(n): 474301601504640
- Sum of proper divisors (its aliquot sum) s(n): 336197073902976
- 138104527601664 is an abundant number, because the sum of its proper divisors (336197073902976) is greater than itself. Its abundance is 198092546301312
Bases of 138104527601664
- Binary: 111110110011010111101110100111101000000000000002
- Hexadecimal: 0x7D9AF74F4000
- Base-36: 1CYCCDZB40
Squares and roots of 138104527601664
- 138104527601664 squared (1381045276016642) is 19072860544078773627855568896
- 138104527601664 cubed (1381045276016643) is 2634048395452415249007678622728085196242944
-
The
square root of 138104527601664 is 11751788.2724998071 -
The
cube root of 138104527601664 is 51689.5366216725
Scales and comparisons
How big is 138104527601664?- 138,104,527,601,664 seconds is equal to 4,391,296 years, 41 weeks, 1 day, 10 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,104,527,601,664 would take you about ten million, nine hundred seventy-eight thousand, two hundred forty-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 138104527601664 cubic inches would be around 4307.5 feet tall.
Recreational maths with 138104527601664
- 138104527601664 backwards is 466106725401831
- The number of decimal digits it has is: 15
- The sum of 138104527601664's digits is 54
- More coming soon!
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MLA style:
"Number 138104527601664 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 138104527601664 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138104527601664/
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The information we have on file for 138104527601664 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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