138507505984
138,507,505,984 is an even composite number composed of six prime numbers multiplied together.
138507505984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 138507505984:
26 × 17 × 19 × 292 × 31 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 17 × 19 × 29 × 29 × 31 × 257)See below for interesting mathematical facts about the number 138507505984 from the Numbermatics database.
Names of 138507505984
- Cardinal: 138507505984 can be written as One hundred thirty-eight billion, five hundred seven million, five hundred five thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38507505984 × 1011
Factors of 138507505984
Divisors of 138507505984
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 8 16 17 19 29 31 32 34 38 58 62 64 68 76 116 124 136 152 232 248 257 272 304 323 464 493 496 514 527 544 551 589 608 646 841 899 928 986 992 1028 1054 1088 1102 1178 1216 1292 1682 1798 1856 1972 1984 2056 2108 2204 2356 2584 3364 3596 3944 4112 4216 4369 4408 4712 4883 5168 6728 7192 7453 7888 7967 8224 8432 8738 8816 9367 9424 9766 10013 10336 13456 14297 14384 14906 15283 15776 15934 15979 16448 16864 17081 17476 17632 18734 18848 19532 20026 20672 26071 26912 28594 28768 29812 30566 31552 31868 31958 33728 34162 34952 35264 37468 37696 39064 40052 52142 53824 57188 57536 59624 61132 63736 63916 68324 69904 74936 78128 80104 83011 104284 114376 119248 122264 126701 127472 127832 135439 136648 139808 141607 149872 151373 156256 160208 166022 208568 216137 228752 231043 238496 244528 253402 254944 255664 270878 271643 273296 279616 283214 290377 299744 302746 312512 320416 332044 417136 432274 443207 457504 462086 476992 489056 495349 506804 509888 511328 541756 543286 546592 566428 580754 599488 605492 640832 664088 834272 864548 886414 915008 924172 978112 990698 1013608 1022656 1083512 1086572 1093184 1132856 1161508 1210984 1328176 1668544 1729096 1772828 1848344 1981396 2027216 2167024 2173144 2265712 2323016 2407319 2421968 2573341 2656352 3458192 3545656 3674329 3696688 3927731 3962792 4054432 4106603 4334048 4346288 4389817 4531424 4646032 4814638 4843936 5146682 5312704 6700247 6916384 7091312 7348658 7393376 7855462 7925584 8108864 8213206 8420933 8668096 8692576 8779634 9062848 9292064 9629276 9687872 10293364 13400494 13832768 14182624 14697316 14786752 15710924 15851168 16426412 16841866 17385152 17559268 18584128 19258552 20586728 26800988 28365248 29394632 31421848 31702336 32852824 33683732 35118536 38517104 41173456 53601976 58789264 62843696 65705648 67367464 69812251 70237072 74626889 77034208 82346912 107203952 113904199 117578528 125687392 127304693 131411296 134734928 139624502 140474144 149253778 154068416 164693824 214407904 227808398 235157056 251374784 254609386 262822592 269469856 279249004 280948288 298507556 428815808 455616796 509218772 538939712 558498008 597015112 911233592 1018437544 1116996016 1194030224 1822467184 2036875088 2164179781 2233992032 2388060448 3644934368 4073750176 4328359562 4467984064 4776120896 7289868736 8147500352 8656719124 17313438248 34626876496 69253752992 138507505984
- Sum of all divisors σ(n): 328771422720
- Sum of proper divisors (its aliquot sum) s(n): 190263916736
- 138507505984 is an abundant number, because the sum of its proper divisors (190263916736) is greater than itself. Its abundance is 51756410752
Bases of 138507505984
- Binary: 100000001111111011000011010001010000002
- Hexadecimal: 0x203FB0D140
- Base-36: 1RMNSJLS
Squares and roots of 138507505984
- 138507505984 squared (1385075059842) is 19184329213907795808256
- 138507505984 cubed (1385075059843) is 2657173593394360043936268036603904
-
The
square root of 138507505984 is 372165.9656443615 -
The
cube root of 138507505984 is 5173.9763164103
Scales and comparisons
How big is 138507505984?- 138,507,505,984 seconds is equal to 4,404 years, 5 weeks, 5 days, 3 hours, 13 minutes, 4 seconds.
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To count from 1 to 138,507,505,984 would take you about eight thousand, eight hundred eight 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 138507505984 cubic inches would be around 431.2 feet tall.
Recreational maths with 138507505984
- 138507505984 backwards is 489505705831
- The number of decimal digits it has is: 12
- The sum of 138507505984's digits is 55
- More coming soon!
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