106642248960
106,642,248,960 is an even composite number composed of seven prime numbers multiplied together.
106642248960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 106642248960:
28 × 3 × 5 × 13 × 23 × 293 × 317
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 23 × 293 × 317)See below for interesting mathematical facts about the number 106642248960 from the Numbermatics database.
Names of 106642248960
- Cardinal: 106642248960 can be written as One hundred six billion, six hundred forty-two million, two hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.0664224896 × 1011
Factors of 106642248960
Divisors of 106642248960
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 32 39 40 46 48 52 60 64 65 69 78 80 92 96 104 115 120 128 130 138 156 160 184 192 195 208 230 240 256 260 276 293 299 312 317 320 345 368 384 390 416 460 480 520 552 586 598 624 634 640 690 736 768 780 832 879 897 920 951 960 1040 1104 1172 1196 1248 1268 1280 1380 1465 1472 1495 1560 1585 1664 1758 1794 1840 1902 1920 2080 2208 2344 2392 2496 2536 2760 2930 2944 2990 3120 3170 3328 3516 3588 3680 3804 3809 3840 4121 4160 4395 4416 4485 4688 4755 4784 4992 5072 5520 5860 5888 5980 6240 6340 6739 7032 7176 7291 7360 7608 7618 8242 8320 8790 8832 8970 9376 9510 9568 9984 10144 11040 11427 11720 11960 12363 12480 12680 13478 14064 14352 14582 14720 15216 15236 16484 16640 17580 17664 17940 18752 19020 19045 19136 20217 20288 20605 21873 22080 22854 23440 23920 24726 24960 25360 26956 28128 28704 29164 29440 30432 30472 32968 33695 35160 35880 36455 37504 38040 38090 38272 40434 40576 41210 43746 44160 45708 46880 47840 49452 49920 50720 53912 56256 57135 57408 58328 60864 60944 61815 65936 67390 70320 71760 72910 75008 76080 76180 76544 80868 81152 82420 87492 87607 88320 91416 92881 93760 94783 95680 98904 101085 101440 107824 109365 112512 114270 114816 116656 121728 121888 123630 131872 134780 140640 143520 145820 152160 152360 161736 164840 174984 175214 182832 185762 187520 189566 191360 197808 202170 202880 215648 218730 225024 228540 229632 233312 243456 243776 247260 262821 263744 269560 278643 281280 284349 287040 291640 304320 304720 323472 329680 349968 350428 365664 371524 375040 379132 382720 395616 404340 405760 431296 437460 438035 457080 464405 466624 473915 487552 494520 525642 527488 539120 557286 562560 568698 574080 583280 608640 609440 646944 659360 699936 700856 731328 743048 758264 791232 808680 862592 874920 876070 914160 928810 933248 947830 975104 989040 1051284 1054976 1078240 1114572 1125120 1137396 1148160 1166560 1207453 1217280 1218880 1293888 1314105 1318720 1393215 1399872 1401712 1421745 1462656 1486096 1516528 1582464 1617360 1725184 1749840 1752140 1828320 1857620 1866496 1895660 1978080 2102568 2136263 2156480 2229144 2274792 2333120 2414906 2437760 2587776 2628210 2637440 2786430 2799744 2803424 2843490 2925312 2972192 3033056 3164928 3234720 3499680 3504280 3622359 3656640 3715240 3791320 3956160 4205136 4272526 4312960 4458288 4549584 4666240 4829812 4875520 5175552 5256420 5274880 5572860 5599488 5606848 5686980 5944384 6037265 6066112 6408789 6469440 6999360 7008560 7244718 7313280 7430480 7582640 7912320 8410272 8545052 8625920 8916576 9099168 9332480 9659624 10512840 10681315 11145720 11213696 11373960 11888768 12074530 12132224 12817578 12938880 13998720 14017120 14489436 14626560 14860960 15165280 15824640 16820544 17090104 17833152 18111795 18198336 19319248 21025680 21362630 22291440 22427392 22747920 23777536 24149060 24264448 25635156 25877760 27771419 27997440 28034240 28978872 29721920 30330560 32043945 33641088 34180208 35666304 36223590 36396672 38638496 42051360 42725260 44582880 45495840 48298120 51270312 55542838 56068480 57957744 59443840 60661120 64087890 67282176 68360416 71332608 72447180 72793344 77276992 83314257 84102720 85450520 89165760 90991680 96596240 102540624 111085676 112136960 115915488 118887680 121322240 128175780 136720832 138857095 144894360 154553984 166628514 168205440 170901040 178331520 181983360 193192480 205081248 222171352 231830976 256351560 273441664 277714190 289788720 309107968 333257028 336410880 341802080 356663040 363966720 386384960 410162496 416571285 444342704 463661952 512703120 546883328 555428380 579577440 666514056 683604160 772769920 820324992 833142570 888685408 927323904 1025406240 1110856760 1159154880 1333028112 1367208320 1545539840 1640649984 1666285140 1777370816 2050812480 2221713520 2318309760 2666056224 2734416640 3332570280 3554741632 4101624960 4443427040 4636619520 5332112448 6665140560 7109483264 8203249920 8886854080 10664224896 13330281120 17773708160 21328449792 26660562240 35547416320 53321124480 106642248960
- Sum of all divisors σ(n): 385252858368
- Sum of proper divisors (its aliquot sum) s(n): 278610609408
- 106642248960 is an abundant number, because the sum of its proper divisors (278610609408) is greater than itself. Its abundance is 171968360448
Bases of 106642248960
- Binary: 11000110101000101111110010101000000002
- Hexadecimal: 0x18D45F9500
- Base-36: 1CZO1HXC
Squares and roots of 106642248960
- 106642248960 squared (1066422489602) is 11372569263246621081600
- 106642248960 cubed (1066422489603) is 1212796362685989943262771675136000
-
The
square root of 106642248960 is 326561.2484052569 -
The
cube root of 106642248960 is 4742.1624984643
Scales and comparisons
How big is 106642248960?- 106,642,248,960 seconds is equal to 3,390 years, 46 weeks, 3 days, 6 hours, 56 minutes.
-
To count from 1 to 106,642,248,960 would take you about six thousand, seven hundred eighty-one 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 106642248960 cubic inches would be around 395.2 feet tall.
Recreational maths with 106642248960
- 106642248960 backwards is 069842246601
- 106642248960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106642248960's digits is 48
- More coming soon!
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