138584369664
138,584,369,664 is an even composite number composed of three prime numbers multiplied together.
138584369664 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 138584369664:
29 × 36 × 135
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 13 × 13)See below for interesting mathematical facts about the number 138584369664 from the Numbermatics database.
Names of 138584369664
- Cardinal: 138584369664 can be written as One hundred thirty-eight billion, five hundred eighty-four million, three hundred sixty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.38584369664 × 1011
Factors of 138584369664
Divisors of 138584369664
- Number of divisors d(n): 420
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 169 192 208 216 234 243 256 288 312 324 338 351 384 416 432 468 486 507 512 576 624 648 676 702 729 768 832 864 936 972 1014 1053 1152 1248 1296 1352 1404 1458 1521 1536 1664 1728 1872 1944 2028 2106 2197 2304 2496 2592 2704 2808 2916 3042 3159 3328 3456 3744 3888 4056 4212 4394 4563 4608 4992 5184 5408 5616 5832 6084 6318 6591 6656 6912 7488 7776 8112 8424 8788 9126 9477 9984 10368 10816 11232 11664 12168 12636 13182 13689 13824 14976 15552 16224 16848 17576 18252 18954 19773 19968 20736 21632 22464 23328 24336 25272 26364 27378 28561 29952 31104 32448 33696 35152 36504 37908 39546 41067 41472 43264 44928 46656 48672 50544 52728 54756 57122 59319 59904 62208 64896 67392 70304 73008 75816 79092 82134 85683 86528 89856 93312 97344 101088 105456 109512 114244 118638 123201 124416 129792 134784 140608 146016 151632 158184 164268 171366 177957 179712 186624 194688 202176 210912 219024 228488 237276 246402 257049 259584 269568 281216 292032 303264 316368 328536 342732 355914 371293 373248 389376 404352 421824 438048 456976 474552 492804 514098 533871 539136 562432 584064 606528 632736 657072 685464 711828 742586 771147 778752 808704 843648 876096 913952 949104 985608 1028196 1067742 1113879 1124864 1168128 1213056 1265472 1314144 1370928 1423656 1485172 1542294 1601613 1617408 1687296 1752192 1827904 1898208 1971216 2056392 2135484 2227758 2313441 2336256 2426112 2530944 2628288 2741856 2847312 2970344 3084588 3203226 3341637 3374592 3504384 3655808 3796416 3942432 4112784 4270968 4455516 4626882 4852224 5061888 5256576 5483712 5694624 5940688 6169176 6406452 6683274 6940323 7008768 7311616 7592832 7884864 8225568 8541936 8911032 9253764 10024911 10123776 10513152 10967424 11389248 11881376 12338352 12812904 13366548 13880646 14623232 15185664 15769728 16451136 17083872 17822064 18507528 20049822 20820969 21026304 21934848 22778496 23762752 24676704 25625808 26733096 27761292 30074733 30371328 31539456 32902272 34167744 35644128 37015056 40099644 41641938 43869696 45556992 47525504 49353408 51251616 53466192 55522584 60149466 63078912 65804544 68335488 71288256 74030112 80199288 83283876 90224199 91113984 95051008 98706816 102503232 106932384 111045168 120298932 131609088 136670976 142576512 148060224 160398576 166567752 180448398 190102016 197413632 205006464 213864768 222090336 240597864 270672597 273341952 285153024 296120448 320797152 333135504 360896796 394827264 410012928 427729536 444180672 481195728 541345194 570306048 592240896 641594304 666271008 721793592 820025856 855459072 888361344 962391456 1082690388 1184481792 1283188608 1332542016 1443587184 1710918144 1776722688 1924782912 2165380776 2566377216 2665084032 2887174368 3553445376 3849565824 4330761552 5132754432 5330168064 5774348736 7699131648 8661523104 10660336128 11548697472 15398263296 17323046208 23097394944 34646092416 46194789888 69292184832 138584369664
- Sum of all divisors σ(n): 449753522526
- Sum of proper divisors (its aliquot sum) s(n): 311169152862
- 138584369664 is an abundant number, because the sum of its proper divisors (311169152862) is greater than itself. Its abundance is 172584783198
Bases of 138584369664
- Binary: 100000010001000100010110101010000000002
- Hexadecimal: 0x204445AA00
- Base-36: 1RNXK000
Squares and roots of 138584369664
- 138584369664 squared (1385843696642) is 19205627515168203472896
- 138584369664 cubed (1385843696643) is 2661599783191160077226587868626944
-
The
square root of 138584369664 is 372269.2166483821 -
The
cube root of 138584369664 is 5174.9332256033
Scales and comparisons
How big is 138584369664?- 138,584,369,664 seconds is equal to 4,406 years, 28 weeks, 5 days, 18 hours, 14 minutes, 24 seconds.
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To count from 1 to 138,584,369,664 would take you about eight thousand, eight hundred thirteen 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 138584369664 cubic inches would be around 431.2 feet tall.
Recreational maths with 138584369664
- 138584369664 backwards is 466963485831
- The number of decimal digits it has is: 12
- The sum of 138584369664's digits is 63
- More coming soon!
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