138695680448
138,695,680,448 is an even composite number composed of seven prime numbers multiplied together.
138695680448 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138695680448:
26 × 13 × 23 × 31 × 37 × 71 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 13 × 23 × 31 × 37 × 71 × 89)See below for interesting mathematical facts about the number 138695680448 from the Numbermatics database.
Names of 138695680448
- Cardinal: 138695680448 can be written as One hundred thirty-eight billion, six hundred ninety-five million, six hundred eighty thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.38695680448 × 1011
Factors of 138695680448
Divisors of 138695680448
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 8 13 16 23 26 31 32 37 46 52 62 64 71 74 89 92 104 124 142 148 178 184 208 248 284 296 299 356 368 403 416 481 496 568 592 598 712 713 736 806 832 851 923 962 992 1136 1147 1157 1184 1196 1424 1426 1472 1612 1633 1702 1846 1924 1984 2047 2201 2272 2294 2314 2368 2392 2627 2759 2848 2852 3224 3266 3293 3404 3692 3848 4094 4402 4544 4588 4628 4784 5254 5518 5696 5704 6319 6448 6532 6586 6808 7384 7696 8188 8804 9176 9256 9269 9568 10508 11036 11063 11408 12638 12896 13064 13172 13616 14768 14911 15392 16376 17608 18352 18512 18538 19136 21016 21229 22072 22126 22816 25276 25792 26128 26344 26381 26611 27232 28613 29536 29822 30784 32752 34151 35216 35867 36704 37024 37076 42032 42458 42809 44144 44252 45632 50552 50623 52256 52688 52762 53222 54464 57226 59072 59644 60421 63457 65504 68302 70432 71734 73408 74048 74152 75739 81437 82147 84064 84916 85618 88288 88504 101104 101246 102083 104512 105376 105524 106444 114452 119288 120842 126914 131008 136604 140864 143468 145337 148304 151478 162874 164294 168128 169832 171236 176576 177008 195889 202208 202492 204166 210752 211048 212888 228904 233803 238576 241684 253828 273208 286936 290674 296608 302956 325748 328588 339664 342472 342953 354016 391778 404416 404984 408332 422096 425776 457808 467606 477152 483368 507656 546416 573872 581348 593216 605912 651496 657176 658099 679328 684944 685906 708032 783556 785473 809968 816664 824941 844192 851552 915616 935212 954304 966736 984607 1015312 1058681 1092832 1147744 1162696 1211824 1302992 1314352 1316198 1327079 1358656 1369888 1371812 1567112 1570946 1619936 1633328 1649882 1688384 1703104 1831232 1870424 1873051 1889381 1933472 1969214 2030624 2117362 2185664 2295488 2325392 2347909 2423648 2546557 2605984 2628704 2632396 2654158 2739776 2743624 3039439 3134224 3141892 3239872 3266656 3299764 3740848 3746102 3778762 3866944 3938428 4061248 4234724 4505447 4650784 4695818 4847296 5093114 5211968 5257408 5264792 5308316 5377469 5487248 6078878 6268448 6283784 6533312 6599528 7247893 7481696 7492204 7557524 7876856 8469448 9010894 9301568 9391636 10186228 10529584 10616632 10754938 10974496 12157756 12536896 12567568 13199056 14495786 14963392 14984408 15115048 15753712 16938896 18021788 18783272 20372456 21059168 21233264 21509876 21948992 24315512 24349663 25135136 26398112 28991572 29968816 30230096 30522817 31507424 33877792 36043576 37566544 40744912 42118336 42466528 43019752 48631024 48699326 50270272 52796224 57983144 58570811 59937632 60460192 61045634 63014848 67755584 69907097 72087152 75133088 81489824 84933056 86039504 94222609 97262048 97398652 115966288 117141622 119875264 120920384 122091268 139814194 144174304 150266176 162979648 166701539 172079008 188445218 194524096 194797304 231932576 234283244 244182536 279628388 288348608 333403078 344158016 376890436 389594608 463865152 468566488 488365072 559256776 666806156 753780872 779189216 937132976 976730144 1118513552 1333612312 1507561744 1558378432 1874265952 1953460288 2167120007 2237027104 2667224624 3015123488 3748531904 4334240014 4474054208 5334449248 6030246976 8668480028 10668898496 17336960056 34673920112 69347840224 138695680448
- Sum of all divisors σ(n): 336241704960
- Sum of proper divisors (its aliquot sum) s(n): 197546024512
- 138695680448 is an abundant number, because the sum of its proper divisors (197546024512) is greater than itself. Its abundance is 58850344064
Bases of 138695680448
- Binary: 100000010010101110100000100001110000002
- Hexadecimal: 0x204AE821C0
- Base-36: 1RPRTRY8
Squares and roots of 138695680448
- 138695680448 squared (1386956804482) is 19236491774933729480704
- 138695680448 cubed (1386956804483) is 2668018316156788880432598966075392
-
The
square root of 138695680448 is 372418.6897136073 -
The
cube root of 138695680448 is 5176.3183546855
Scales and comparisons
How big is 138695680448?- 138,695,680,448 seconds is equal to 4,410 years, 4 weeks, 6 days, 1 hour, 54 minutes, 8 seconds.
-
To count from 1 to 138,695,680,448 would take you about eight thousand, eight hundred twenty 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 138695680448 cubic inches would be around 431.4 feet tall.
Recreational maths with 138695680448
- 138695680448 backwards is 844086596831
- 138695680448 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138695680448's digits is 62
- More coming soon!
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