138445013077101632
138,445,013,077,101,632 is an even composite number composed of five prime numbers multiplied together.
What does the number 138445013077101632 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1120 divisors.
138445013077101632 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 138445013077101632:
26 × 11 × 194 × 313 × 373
(2 × 2 × 2 × 2 × 2 × 2 × 11 × 19 × 19 × 19 × 19 × 31 × 31 × 31 × 37 × 37 × 37)See below for interesting mathematical facts about the number 138445013077101632 from the Numbermatics database.
Names of 138445013077101632
- Cardinal: 138445013077101632 can be written as One hundred thirty-eight quadrillion, four hundred forty-five trillion, thirteen billion, seventy-seven million, one hundred one thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 1.38445013077101632 × 1017
Factors of 138445013077101632
Divisors of 138445013077101632
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 4 8 11 16 19 22 31 32 37 38 44 62 64 74 76 88 124 148 152 176 209 248 296 304 341 352 361 407 418 496 589 592 608 682 703 704 722 814 836 961 992 1147 1178 1184 1216 1364 1369 1406 1444 1628 1672 1922 1984 2294 2356 2368 2728 2738 2812 2888 3256 3344 3844 3971 4588 4712 5456 5476 5624 5776 6479 6512 6688 6859 7688 7733 7942 9176 9424 10571 10912 10952 11191 11248 11552 12617 12958 13024 13357 13376 13718 15059 15376 15466 15884 18259 18352 18848 21142 21793 21824 21904 22382 22496 23104 25234 25916 26011 26048 26714 27436 29791 30118 30752 30932 31768 35557 36518 36704 37696 42284 42439 43586 43808 44764 44992 50468 50653 51832 52022 53428 54872 59582 60236 61504 61864 63536 71114 73036 73408 75449 84568 84878 87172 87616 89528 100936 101306 103664 104044 106856 109744 119164 120472 123101 123728 127072 130321 142228 146072 146927 150898 169136 169756 174344 179056 200849 201872 202612 207328 208088 212629 213712 219488 238328 239723 240944 246202 247456 253783 254144 260642 284456 286121 292144 293854 301796 327701 338272 339512 346921 348688 358112 391127 401698 403744 405224 414067 414656 416176 425258 427424 438976 466829 476656 479446 481888 492404 494209 494912 507566 521284 557183 566029 568912 572242 584288 587708 603592 655402 675583 676544 679024 693842 697376 716224 782254 803396 806341 807488 810448 828134 832352 850516 854848 933658 953312 958892 962407 963776 984808 988418 1015132 1042568 1102267 1114366 1132058 1137824 1144484 1168576 1175416 1207184 1310804 1315609 1351166 1358048 1387684 1394752 1433531 1564508 1570243 1606792 1612682 1620896 1656268 1664704 1701032 1867316 1906624 1917784 1924814 1969616 1976836 2030264 2085136 2204534 2228732 2264116 2275648 2288968 2338919 2350832 2414368 2621608 2631218 2702332 2716096 2775368 2791613 2867062 3129016 3140486 3213584 3225364 3241792 3312536 3402064 3734632 3816131 3835568 3849628 3939232 3953672 4039951 4060528 4170272 4409068 4457464 4528232 4554737 4577936 4677838 4701664 4821877 4828736 5243216 5262436 5404664 5436299 5550736 5583226 5734124 6226319 6258032 6280972 6427168 6450728 6591499 6625072 6804128 7431413 7469264 7632262 7671136 7699256 7867273 7878464 7907344 8079902 8121056 8340544 8818136 8869751 8914928 9056464 9109474 9155872 9355676 9389971 9403328 9643754 10486432 10524872 10586477 10754551 10809328 10872598 11101472 11166452 11468248 12124937 12452638 12516064 12561944 12836077 12854336 12901456 13182998 13250144 13608256 14471699 14862826 14938528 15264524 15320479 15342272 15398512 15734546 15814688 16159804 16242112 17272673 17636272 17739502 17829856 18112928 18218948 18285733 18311744 18711352 18779942 19287508 20943073 20972864 21049744 21172954 21509102 21618656 21745196 22202944 22332904 22936496 24249874 24905276 24996571 25032128 25123888 25672154 25802912 26365996 26500288 28943398 29725652 29834617 29877056 30529048 30640958 30797024 31469092 31629376 32319608 34545346 35272544 35479004 35659712 36225856 36437896 36571466 37422704 37559884 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31400063024 33198077506 34095322844 34268983232 35016818056 35145178826 35963218544 36095048524 36278894272 37070590376 40694417588 41794266712 42706322021 42923841488 43081186948 44083945312 44245543352 48288112736 49593196864 49883479624 50972061767 51231681776 52616321824 52809196904 57342133874 58891921276 59191880128 60483594824 60837622109 61147491152 62118286576 62800126048 66396155012 68190645688 70033636112 70290357652 71926437088 72190097048 72612645743 74141180752 81388835176 83164942883 83588533424 85412644042 85847682976 86162373896 88167890624 88491086704 96576225472 99261383441 99766959248 101944123534 102463363552 105232643648 105618393808 114684267748 117783842552 118473264107 120967189648 121675244218 122294982304 124236573152 125600252096 132792310024 136381291376 140067272224 140580715304 143648537707 143852874176 144380194096 145225291486 148282361504 161952783509 162777670352 166329885766 167177066848 170825288084 171451480489 171695365952 172324747792 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12687409556186 13096680832192 14690684749268 15087730283032 17432008697696 17903144067904 18007936144264 20184431123648 20700510328514 21259983580636 21368268726208 23969011959332 24616823093368 25282142636432 25374819112372 29381369498536 30175460566064 34864017395392 36015872288528 41401020657028 42519967161272 47938023918664 49233646186736 50564285272864 50749638224744 58464954846749 58762738997072 60350921132128 69780752559023 72031744577056 82802041314056 85039934322544 95876047837328 98467292373472 101128570545728 101499276449488 113852806806827 116929909693498 117525477994144 120701842264256 139561505118046 144063489154112 165604082628112 170079868645088 191752095674656 196654848120883 196934584746944 202998552898976 227705613613654 233859819386996 235050955988288 279123010236092 331208165256224 340159737290176 383504191349312 393309696241766 405997105797952 455411227227308 467719638773992 558246020472184 662416330512448 786619392483532 910822454454616 935439277547984 1116492040944368 1573238784967064 1821644908909232 1870878555095968 2163203329329713 2232984081888736 3146477569934128 3643289817818464 3741757110191936 4326406658659426 4465968163777472 6292955139868256 7286579635636928 8652813317318852 12585910279736512 17305626634637704 34611253269275408 69222506538550816 138445013077101632
- Sum of all divisors σ(n): 335976967136578560
- Sum of proper divisors (its aliquot sum) s(n): 197531954059476928
- 138445013077101632 is an abundant number, because the sum of its proper divisors (197531954059476928) is greater than itself. Its abundance is 59086940982375296
Bases of 138445013077101632
- Binary: 1111010111101101100000001100000010110001010001100010000002
- Hexadecimal: 0x1EBDB0181628C40
- Base-36: 11V6NSZLSOJK
Squares and roots of 138445013077101632
- 138445013077101632 squared (1384450130771016322) is 19167021645918841895067093657063424
- 138445013077101632 cubed (1384450130771016323) is 2653578562418324112587177266884008947960950317907968
-
The
square root of 138445013077101632 is 372081997.7869147487 -
The
cube root of 138445013077101632 is 517319.8054229437
Scales and comparisons
How big is 138445013077101632?- 138,445,013,077,101,632 seconds is equal to 4,402,123,177 years, 16 weeks, 12 hours, 40 minutes, 32 seconds.
-
To count from 1 to 138,445,013,077,101,632 would take you about thirteen billion, two hundred six million, three hundred sixty-nine thousand, five 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 138445013077101632 cubic inches would be around 43110 feet tall.
Recreational maths with 138445013077101632
- 138445013077101632 backwards is 236101770310544831
- The number of decimal digits it has is: 18
- The sum of 138445013077101632's digits is 56
- More coming soon!
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"Number 138445013077101632 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138445013077101632 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138445013077101632/
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The information we have on file for 138445013077101632 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!
Keywords: Divisors of 138445013077101632, math, Factors of 138445013077101632, curriculum, school, college, exams, university, Prime factorization of 138445013077101632, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred forty-five trillion, thirteen billion, seventy-seven million, one hundred one thousand, six hundred thirty-two.