122138016
122,138,016 is an even composite number composed of seven prime numbers multiplied together.
122138016 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 122138016:
25 × 3 × 7 × 11 × 13 × 31 × 41
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 31 × 41)See below for interesting mathematical facts about the number 122138016 from the Numbermatics database.
Names of 122138016
- Cardinal: 122138016 can be written as One hundred twenty-two million, one hundred thirty-eight thousand and sixteen.
Scientific notation
- Scientific notation: 1.22138016 × 108
Factors of 122138016
Divisors of 122138016
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 31 32 33 39 41 42 44 48 52 56 62 66 77 78 82 84 88 91 93 96 104 112 123 124 132 143 154 156 164 168 176 182 186 208 217 224 231 246 248 264 273 286 287 308 312 328 336 341 352 364 372 403 416 429 434 451 462 492 496 528 533 546 572 574 616 624 651 656 672 682 728 744 806 858 861 868 902 924 984 992 1001 1023 1056 1066 1092 1144 1148 1209 1232 1248 1271 1302 1312 1353 1364 1456 1488 1599 1612 1716 1722 1736 1804 1848 1968 2002 2046 2132 2184 2288 2296 2387 2418 2464 2542 2604 2706 2728 2821 2912 2976 3003 3157 3198 3224 3432 3444 3472 3608 3696 3731 3813 3936 4004 4092 4264 4368 4433 4576 4592 4774 4836 5084 5208 5412 5456 5642 5863 6006 6314 6396 6448 6864 6888 6944 7161 7216 7392 7462 7626 8008 8184 8463 8528 8736 8866 8897 9184 9471 9548 9672 10168 10416 10824 10912 11193 11284 11726 12012 12628 12792 12896 13299 13728 13776 13981 14322 14432 14924 15252 16016 16368 16523 16926 17056 17589 17732 17794 18942 19096 19344 20336 20832 21648 22386 22568 23452 24024 25256 25584 26598 26691 27552 27962 28644 29848 30504 31031 32032 32736 33046 33852 35178 35464 35588 37884 38192 38688 40672 41041 41943 43296 44772 45136 46904 48048 49569 50512 51168 53196 53382 55924 57288 59696 61008 62062 66092 67704 70356 70928 71176 75768 76384 82082 83886 89544 90272 93093 93808 96096 97867 99138 101024 106392 106764 111848 114576 115661 119392 122016 123123 124124 132184 135408 140712 141856 142352 151536 164164 167772 179088 181753 186186 187616 195734 198276 212784 213528 223696 229152 231322 246246 248248 264368 270816 281424 284704 293601 303072 328328 335544 346983 358176 363506 372372 391468 396552 425568 427056 447392 462644 492492 496496 528736 545259 562848 587202 656656 671088 693966 727012 744744 782936 793104 854112 925288 984984 992992 1090518 1174404 1272271 1313312 1342176 1387932 1454024 1489488 1565872 1586208 1850576 1969968 2181036 2348808 2544542 2775864 2908048 2978976 3131744 3701152 3816813 3939936 4362072 4697616 5089084 5551728 5816096 7633626 8724144 9395232 10178168 11103456 15267252 17448288 20356336 30534504 40712672 61069008 122138016
- Sum of all divisors σ(n): 455196672
- Sum of proper divisors (its aliquot sum) s(n): 333058656
- 122138016 is an abundant number, because the sum of its proper divisors (333058656) is greater than itself. Its abundance is 210920640
Bases of 122138016
- Binary: 1110100011110101101101000002
- Hexadecimal: 0x747ADA0
- Base-36: 20PUAO
Squares and roots of 122138016
- 122138016 squared (1221380162) is 14917694952416256
- 122138016 cubed (1221380163) is 1822017664781335913988096
-
The
square root of 122138016 is 11051.6069419791 -
The
cube root of 122138016 is 496.1545217485
Scales and comparisons
How big is 122138016?- 122,138,016 seconds is equal to 3 years, 45 weeks, 6 days, 15 hours, 13 minutes, 36 seconds.
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To count from 1 to 122,138,016 would take you about 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 122138016 cubic inches would be around 41.3 feet tall.
Recreational maths with 122138016
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