138146354496
138,146,354,496 is an even composite number composed of six prime numbers multiplied together.
138146354496 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138146354496:
26 × 33 × 31 × 61 × 67 × 631
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 31 × 61 × 67 × 631)See below for interesting mathematical facts about the number 138146354496 from the Numbermatics database.
Names of 138146354496
- Cardinal: 138146354496 can be written as One hundred thirty-eight billion, one hundred forty-six million, three hundred fifty-four thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.38146354496 × 1011
Factors of 138146354496
Divisors of 138146354496
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 61 62 64 67 72 93 96 108 122 124 134 144 183 186 192 201 216 244 248 268 279 288 366 372 402 432 488 496 536 549 558 576 603 631 732 744 804 837 864 976 992 1072 1098 1116 1206 1262 1464 1488 1608 1647 1674 1728 1809 1891 1893 1952 1984 2077 2144 2196 2232 2412 2524 2928 2976 3216 3294 3348 3618 3782 3786 3904 4087 4154 4288 4392 4464 4824 5048 5673 5679 5856 5952 6231 6432 6588 6696 7236 7564 7572 8174 8308 8784 8928 9648 10096 11346 11358 11712 12261 12462 12864 13176 13392 14472 15128 15144 16348 16616 17019 17037 17568 17856 18693 19296 19561 20192 22692 22716 24522 24924 26352 26784 28944 30256 30288 32696 33232 34038 34074 35136 36783 37386 38491 38592 39122 40384 42277 45384 45432 49044 49848 51057 52704 53568 56079 57888 58683 60512 60576 65392 66464 68076 68148 73566 74772 76982 78244 84554 90768 90864 98088 99696 102114 105408 110349 112158 115473 115776 117366 121024 121152 126697 126831 130784 132928 136152 136296 147132 149544 153964 156488 169108 176049 181536 181728 196176 199392 204228 220698 224316 230946 234732 253394 253662 261568 272304 272592 294264 299088 307928 312976 338216 346419 352098 363072 363456 380091 380493 392352 398784 408456 441396 448632 461892 469464 506788 507324 528147 544608 545184 588528 598176 615856 625952 676432 692838 704196 760182 760986 784704 816912 882792 897264 923784 938928 1013576 1014648 1039257 1056294 1089216 1090368 1140273 1141479 1177056 1193221 1196352 1231712 1251904 1310587 1352864 1385676 1408392 1520364 1521972 1633824 1765584 1794528 1847568 1877856 2027152 2029296 2078514 2112588 2280546 2282958 2354112 2386442 2463424 2578897 2621174 2705728 2771352 2816784 3040728 3043944 3267648 3420819 3531168 3579663 3589056 3695136 3755712 3931761 4054304 4058592 4157028 4225176 4561092 4565916 4772884 5157794 5242348 5542704 5633568 6081456 6087888 6841638 7062336 7159326 7390272 7736691 7863522 8108608 8117184 8314056 8450352 9122184 9131832 9545768 10315588 10484696 10738989 11085408 11267136 11795283 12162912 12175776 13683276 14318652 15473382 15727044 16628112 16900704 18244368 18263664 19091536 20631176 20969392 21477978 22170816 23210073 23590566 24325824 24351552 27366552 28637304 30946764 31454088 32216967 33256224 33801408 35385849 36488736 36527328 38183072 41262352 41938784 42955956 46420146 47181132 54733104 57274608 61893528 62908176 64433934 66512448 69630219 70771698 72977472 73054656 76366144 79945807 82524704 83877568 85911912 92840292 94362264 109466208 114549216 123787056 125816352 128867868 139260438 141543396 159891614 165049408 171823824 185680584 188724528 218932416 229098432 239837421 247574112 251632704 257735736 278520876 283086792 319783228 343647648 371361168 377449056 479674842 495148224 515471472 557041752 566173584 639566456 687295296 719512263 742722336 754898112 959349684 1030942944 1114083504 1132347168 1279132912 1439024526 1485444672 1918699368 2061885888 2158536789 2228167008 2264694336 2558265824 2878049052 3837398736 4317073578 4456334016 5116531648 5756098104 7674797472 8634147156 11512196208 15349594944 17268294312 23024392416 34536588624 46048784832 69073177248 138146354496
- Sum of all divisors σ(n): 433143070720
- Sum of proper divisors (its aliquot sum) s(n): 294996716224
- 138146354496 is an abundant number, because the sum of its proper divisors (294996716224) is greater than itself. Its abundance is 156850361728
Bases of 138146354496
- Binary: 100000001010100010101000010101010000002
- Hexadecimal: 0x202A2A1540
- Base-36: 1RGORTC0
Squares and roots of 138146354496
- 138146354496 squared (1381463544962) is 19084415260534499414016
- 138146354496 cubed (1381463544963) is 2636442395930671154486558607015936
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The
square root of 138146354496 is 371680.4467496239 -
The
cube root of 138146354496 is 5169.4754395475
Scales and comparisons
How big is 138146354496?- 138,146,354,496 seconds is equal to 4,392 years, 32 weeks, 4 days, 3 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,146,354,496 would take you about eight thousand, seven hundred eighty-five 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 138146354496 cubic inches would be around 430.8 feet tall.
Recreational maths with 138146354496
- 138146354496 backwards is 694453641831
- 138146354496 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138146354496's digits is 54
- More coming soon!
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