138460370946768
138,460,370,946,768 is an even composite number composed of five prime numbers multiplied together.
138460370946768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred fifty divisors.
Prime factorization of 138460370946768:
24 × 32 × 13 × 314 × 2832
(2 × 2 × 2 × 2 × 3 × 3 × 13 × 31 × 31 × 31 × 31 × 283 × 283)See below for interesting mathematical facts about the number 138460370946768 from the Numbermatics database.
Names of 138460370946768
- Cardinal: 138460370946768 can be written as One hundred thirty-eight trillion, four hundred sixty billion, three hundred seventy million, nine hundred forty-six thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38460370946768 × 1014
Factors of 138460370946768
Divisors of 138460370946768
- Number of divisors d(n): 450
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 283 312 372 403 468 496 558 566 624 744 806 849 936 961 1116 1132 1209 1488 1612 1698 1872 1922 2232 2264 2418 2547 2883 3224 3396 3627 3679 3844 4464 4528 4836 5094 5766 6448 6792 7254 7358 7688 8649 8773 9672 10188 11037 11532 12493 13584 14508 14716 15376 17298 17546 19344 20376 22074 23064 24986 26319 29016 29432 29791 33111 34596 35092 37479 40752 44148 46128 49972 52638 58032 58864 59582 66222 69192 70184 74958 78957 80089 88296 89373 99944 105276 112437 114049 119164 132444 138384 140368 149916 157914 160178 176592 178746 199888 210552 224874 228098 238328 240267 264888 268119 271963 299832 315828 320356 342147 357492 387283 421104 449748 456196 476656 480534 529776 536238 543926 599664 631656 640712 684294 714984 720801 774566 815889 899496 912392 923521 961068 1026441 1041157 1072476 1087852 1161849 1263312 1281424 1368588 1429968 1441602 1549132 1631778 1798992 1824784 1847042 1922136 2052882 2082314 2144952 2175704 2323698 2447667 2482759 2737176 2770563 2883204 3098264 3123471 3263556 3485547 3535519 3694084 3844272 4105764 4164628 4289904 4351408 4647396 4895334 4965518 5474352 5541126 5766408 6196528 6246942 6527112 6971094 7071038 7388168 7448277 8211528 8311689 8329256 8430853 9294792 9370413 9790668 9931036 10606557 11082252 11532816 12005773 12493884 13054224 13942188 14142076 14776336 14896554 16423056 16623378 16658512 16861706 18589584 18740826 19581336 19862072 21213114 22164504 22344831 24011546 24987768 25292559 27884376 28284152 29793108 31819671 32275867 33246756 33723412 36017319 37481652 39162672 39724144 42426228 44329008 44689662 48023092 49975536 50585118 55768752 56568304 59586216 63639342 64551734 66493512 67446824 72034638 74963304 75877677 76965529 84852456 89379324 96046184 96827601 101170236 108051957 109601089 119172432 127278684 129103468 132987024 134893648 144069276 149926608 151755354 153931058 169704912 178758648 192092368 193655202 202340472 216103914 219202178 230896587 254557368 258206936 261356443 288138552 290482803 303510708 307862116 328803267 357517296 387310404 404680944 432207828 438404356 461793174 509114736 516413872 522712886 576277104 580965606 607021416 615724232 657606534 692689761 774620808 784069329 864415656 876808712 923586348 986409801 1000551877 1045425772 1161931212 1214042832 1231448464 1315213068 1385379522 1549241616 1568138658 1728831312 1753617424 1847172696 1972819602 2001103754 2090851544 2323862424 2352207987 2385931399 2630426136 2770759044 3001655631 3136277316 3397633759 3694345392 3945639204 4002207508 4181703088 4647724848 4704415974 4771862798 5260852272 5541518088 6003311262 6272554632 6795267518 7157794197 7891278408 8004415016 9004966893 9408831948 9543725596 10192901277 11083036176 12006622524 12545109264 13590535036 14315588394 15782556816 16008830032 18009933786 18817663896 19087451192 20385802554 21473382591 24013245048 27181070072 28631176788 30578703831 31017108187 36019867572 37635327792 38174902384 40771605108 42946765182 48026490096 54362140144 57262353576 61157407662 62034216374 72039735144 73963873369 81543210216 85893530364 93051324561 114524707152 122314815324 124068432748 144079470288 147927746738 163086420432 171787060728 186102649122 221891620107 244629630648 248136865496 279153973683 295855493476 343574121456 372205298244 443783240214 489259261296 496273730992 558307947366 591710986952 665674860321 744410596488 887566480428 961530353797 1116615894732 1183421973904 1331349720642 1488821192976 1775132960856 1923060707594 2233231789464 2662699441284 2884591061391 3550265921712 3846121415188 4466463578928 5325398882568 5769182122782 7692242830376 8653773184173 10650797765136 11538364245564 15384485660752 17307546368346 23076728491128 34615092736692 46153456982256 69230185473384 138460370946768
- Sum of all divisors σ(n): 432743407226130
- Sum of proper divisors (its aliquot sum) s(n): 294283036279362
- 138460370946768 is an abundant number, because the sum of its proper divisors (294283036279362) is greater than itself. Its abundance is 155822665332594
Bases of 138460370946768
- Binary: 111110111101101110100010011100111001010110100002
- Hexadecimal: 0x7DEDD139CAD0
- Base-36: 1D2VTDX5G0
Squares and roots of 138460370946768
- 138460370946768 squared (1384603709467682) is 19171274322716596064689645824
- 138460370946768 cubed (1384603709467683) is 2654461754245588344227218518934081477496832
-
The
square root of 138460370946768 is 11766918.4983481551 -
The
cube root of 138460370946768 is 51733.8933682383
Scales and comparisons
How big is 138460370946768?- 138,460,370,946,768 seconds is equal to 4,402,611 years, 26 weeks, 3 days, 15 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,460,370,946,768 would take you about eleven million, six thousand, five hundred twenty-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 138460370946768 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138460370946768
- 138460370946768 backwards is 867649073064831
- 138460370946768 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138460370946768's digits is 72
- More coming soon!
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