138224382639906816
138,224,382,639,906,816 is an even composite number composed of four prime numbers multiplied together.
What does the number 138224382639906816 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1512 divisors.
138224382639906816 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138224382639906816:
213 × 38 × 112 × 2773
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 277 × 277 × 277)See below for interesting mathematical facts about the number 138224382639906816 from the Numbermatics database.
Names of 138224382639906816
- Cardinal: 138224382639906816 can be written as One hundred thirty-eight quadrillion, two hundred twenty-four trillion, three hundred eighty-two billion, six hundred thirty-nine million, nine hundred six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38224382639906816 × 1017
Factors of 138224382639906816
Divisors of 138224382639906816
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 121 128 132 144 162 176 192 198 216 242 243 256 264 277 288 297 324 352 363 384 396 432 484 486 512 528 554 576 594 648 704 726 729 768 792 831 864 891 968 972 1024 1056 1089 1108 1152 1188 1296 1408 1452 1458 1536 1584 1662 1728 1782 1936 1944 2048 2112 2178 2187 2216 2304 2376 2493 2592 2673 2816 2904 2916 3047 3072 3168 3267 3324 3456 3564 3872 3888 4096 4224 4356 4374 4432 4608 4752 4986 5184 5346 5632 5808 5832 6094 6144 6336 6534 6561 6648 6912 7128 7479 7744 7776 8019 8192 8448 8712 8748 8864 9141 9216 9504 9801 9972 10368 10692 11264 11616 11664 12188 12288 12672 13068 13122 13296 13824 14256 14958 15488 15552 16038 16896 17424 17496 17728 18282 18432 19008 19602 19944 20736 21384 22437 22528 23232 23328 24057 24376 24576 25344 26136 26244 26592 27423 27648 28512 29403 29916 30976 31104 32076 33517 33792 34848 34992 35456 36564 36864 38016 39204 39888 41472 42768 44874 45056 46464 46656 48114 48752 50688 52272 52488 53184 54846 55296 57024 58806 59832 61952 62208 64152 67034 67311 67584 69696 69984 70912 72171 73128 73728 76032 76729 78408 79776 82269 82944 85536 88209 89748 90112 92928 93312 96228 97504 100551 101376 104544 104976 106368 109692 110592 114048 117612 119664 123904 124416 128304 134068 134622 135168 139392 139968 141824 144342 146256 152064 153458 156816 159552 164538 165888 171072 176418 179496 185856 186624 192456 195008 201102 201933 202752 209088 209952 212736 219384 221184 228096 230187 235224 239328 246807 247808 248832 256608 264627 268136 269244 270336 278784 279936 283648 288684 292512 301653 304128 306916 313632 319104 329076 331776 342144 352836 358992 371712 373248 384912 390016 402204 403866 405504 418176 419904 425472 438768 456192 460374 470448 478656 493614 495616 497664 513216 529254 536272 538488 557568 559872 567296 577368 585024 603306 605799 608256 613832 627264 638208 658152 663552 684288 690561 705672 717984 740421 743424 746496 769824 780032 793881 804408 807732 811008 836352 839808 844019 850944 877536 904959 912384 920748 940896 957312 987228 991232 995328 1026432 1058508 1072544 1076976 1115136 1119744 1134592 1154736 1170048 1206612 1211598 1216512 1227664 1254528 1276416 1316304 1368576 1381122 1411344 1435968 1480842 1486848 1492992 1539648 1560064 1587762 1608816 1615464 1672704 1679616 1688038 1701888 1755072 1809918 1817397 1824768 1841496 1881792 1914624 1974456 1990656 2052864 2071683 2117016 2145088 2153952 2221263 2230272 2239488 2269184 2309472 2340096 2413224 2423196 2433024 2455328 2509056 2532057 2552832 2632608 2714877 2737152 2762244 2822688 2871936 2961684 2973696 2985984 3079296 3120128 3175524 3217632 3230928 3345408 3359232 3376076 3403776 3510144 3619836 3634794 3649536 3682992 3763584 3829248 3948912 4105728 4143366 4234032 4290176 4307904 4442526 4460544 4478976 4618944 4680192 4826448 4846392 4910656 5018112 5064114 5105664 5265216 5429754 5474304 5524488 5645376 5743872 5923368 5971968 6158592 6215049 6240256 6351048 6435264 6461856 6663789 6690816 6718464 6752152 6807552 7020288 7239672 7269588 7299072 7365984 7527168 7596171 7658496 7897824 8144631 8211456 8286732 8468064 8580352 8615808 8885052 8921088 8957952 9237888 9284209 9360384 9652896 9692784 9821312 10036224 10128228 10211328 10530432 10859508 10948608 11048976 11290752 11487744 11846736 12317184 12430098 12480512 12702096 12870528 12923712 13327578 13381632 13436928 13504304 14040576 14479344 14539176 14731968 15054336 15192342 15316992 15795648 16289262 16422912 16573464 16936128 17160704 17231616 17770104 17915904 18475776 18568418 18645147 18720768 19305792 19385568 19642624 19991367 20072448 20256456 20422656 21060864 21253933 21719016 21897216 22097952 22581504 22788513 22975488 23693472 24433893 24634368 24860196 24961024 25404192 25741056 25847424 26655156 26763264 26873856 27008608 27852627 28081152 28958688 29078352 29463936 30108672 30384684 30633984 31591296 32578524 32845824 33146928 33872256 34321408 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98170726306752 106654616234496 116350490437632 119986443263808 124751247869952 126927807750144 130894301742336 134984748671784 142206154979328 142793783718912 155133987250176 159981924351744 166334997159936 174525735656448 179979664895712 189608206639104 190391711625216 196341452613504 213309232468992 232700980875264 239972886527616 249502495739904 261788603484672 269969497343568 284412309958656 285587567437824 319963848703488 349051471312896 359959329791424 380783423250432 392682905227008 426618464937984 465401961750528 479945773055232 499004991479808 523577206969344 539938994687136 568824619917312 571175134875648 639927697406976 698102942625792 719918659582848 785365810454016 853236929875968 959891546110464 1047154413938688 1079877989374272 1142350269751296 1279855394813952 1396205885251584 1439837319165696 1570731620908032 1706473859751936 1919783092220928 2094308827877376 2159755978748544 2559710789627904 2879674638331392 3141463241816064 3839566184441856 4188617655754752 4319511957497088 5119421579255808 5759349276662784 6282926483632128 7679132368883712 8639023914994176 11518698553325568 12565852967264256 15358264737767424 17278047829988352 23037397106651136 34556095659976704 46074794213302272 69112191319953408 138224382639906816
- Sum of all divisors σ(n): 457398038812047060
- Sum of proper divisors (its aliquot sum) s(n): 319173656172140244
- 138224382639906816 is an abundant number, because the sum of its proper divisors (319173656172140244) is greater than itself. Its abundance is 180949273532233428
Bases of 138224382639906816
- Binary: 1111010110001001001010111111110101000110010100000000000002
- Hexadecimal: 0x1EB1257FA8CA000
- Base-36: 11T0GCRK0000
Squares and roots of 138224382639906816
- 138224382639906816 squared (1382243826399068162) is 19105979956183372767856157163257856
- 138224382639906816 cubed (1382243826399068163) is 2640912284173880579833668368806130928580918819946496
-
The
square root of 138224382639906816 is 371785398.6373144481 -
The
cube root of 138224382639906816 is 517044.8534725361
Scales and comparisons
How big is 138224382639906816?- 138,224,382,639,906,816 seconds is equal to 4,395,107,811 years, 44 weeks, 5 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,224,382,639,906,816 would take you about thirteen billion, one hundred eighty-five million, three hundred twenty-three thousand, four hundred thirty-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 138224382639906816 cubic inches would be around 43087.1 feet tall.
Recreational maths with 138224382639906816
- 138224382639906816 backwards is 618609936283422831
- 138224382639906816 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138224382639906816's digits is 81
- More coming soon!
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"Number 138224382639906816 - Facts about the integer". Numbermatics.com. 2024. Web. 2 June 2024.
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Numbermatics. (2024). Number 138224382639906816 - Facts about the integer. Retrieved 2 June 2024, from https://numbermatics.com/n/138224382639906816/
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The information we have on file for 138224382639906816 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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