10146988320
10,146,988,320 is an even composite number composed of seven prime numbers multiplied together.
10146988320 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 10146988320:
25 × 3 × 5 × 7 × 41 × 73 × 1009
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 41 × 73 × 1009)See below for interesting mathematical facts about the number 10146988320 from the Numbermatics database.
Names of 10146988320
- Cardinal: 10146988320 can be written as Ten billion, one hundred forty-six million, nine hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.014698832 × 1010
Factors of 10146988320
Divisors of 10146988320
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 41 42 48 56 60 70 73 80 82 84 96 105 112 120 123 140 146 160 164 168 205 210 219 224 240 246 280 287 292 328 336 365 410 420 438 480 492 511 560 574 584 615 656 672 730 820 840 861 876 984 1009 1022 1095 1120 1148 1168 1230 1312 1435 1460 1533 1640 1680 1722 1752 1968 2018 2044 2190 2296 2336 2460 2555 2870 2920 2993 3027 3066 3280 3360 3444 3504 3936 4036 4088 4305 4380 4592 4920 5045 5110 5740 5840 5986 6054 6132 6560 6888 7008 7063 7665 8072 8176 8610 8760 8979 9184 9840 10090 10220 11480 11680 11972 12108 12264 13776 14126 14965 15135 15330 16144 16352 17220 17520 17958 19680 20180 20440 20951 21189 22960 23944 24216 24528 27552 28252 29930 30270 30660 32288 34440 35040 35315 35916 40360 40880 41369 41902 42378 44895 45920 47888 48432 49056 56504 59860 60540 61320 62853 68880 70630 71832 73657 80720 81760 82738 83804 84756 89790 95776 96864 104755 105945 113008 119720 121080 122640 124107 125706 137760 141260 143664 147314 161440 165476 167608 169512 179580 206845 209510 211890 220971 226016 239440 242160 245280 248214 251412 282520 287328 289583 294628 314265 330952 335216 339024 359160 368285 413690 419020 423780 441942 478880 484320 496428 502824 515599 565040 579166 589256 620535 628530 661904 670432 678048 718320 736570 827380 838040 847560 868749 883884 992856 1005648 1031198 1104855 1130080 1158332 1178512 1241070 1257060 1323808 1436640 1447915 1473140 1546797 1654760 1676080 1695120 1737498 1767768 1985712 2011296 2062396 2209710 2316664 2357024 2482140 2514120 2577995 2895830 2946280 3019937 3093594 3309520 3352160 3390240 3474996 3535536 3971424 4124792 4343745 4419420 4633328 4964280 5028240 5155990 5791660 5892560 6039874 6187188 6619040 6949992 7071072 7733985 8249584 8687490 8838840 9059811 9266656 9928560 10056480 10311980 11583320 11785120 12079748 12374376 13899984 15099685 15467970 16499168 17374980 17677680 18119622 19857120 20623960 21139559 23166640 24159496 24748752 27799968 30199370 30935940 34749960 35355360 36239244 41247920 42279118 45299055 46333280 48318992 49497504 60398740 61871880 63418677 69499920 72478488 82495840 84558236 90598110 96637984 105697795 120797480 123743760 126837354 138999840 144956976 169116472 181196220 211395590 241594960 247487520 253674708 289913952 317093385 338232944 362392440 422791180 483189920 507349416 634186770 676465888 724784880 845582360 1014698832 1268373540 1449569760 1691164720 2029397664 2536747080 3382329440 5073494160 10146988320
- Sum of all divisors σ(n): 37970311680
- Sum of proper divisors (its aliquot sum) s(n): 27823323360
- 10146988320 is an abundant number, because the sum of its proper divisors (27823323360) is greater than itself. Its abundance is 17676335040
Bases of 10146988320
- Binary: 10010111001100111011000001001000002
- Hexadecimal: 0x25CCEC120
- Base-36: 4NT96AO
Squares and roots of 10146988320
- 10146988320 squared (101469883202) is 102961371966216422400
- 10146988320 cubed (101469883203) is 1044747838752373472684986368000
-
The
square root of 10146988320 is 100732.2605722713 -
The
cube root of 10146988320 is 2164.9392797125
Scales and comparisons
How big is 10146988320?- 10,146,988,320 seconds is equal to 322 years, 33 weeks, 2 days, 23 hours, 52 minutes.
-
To count from 1 to 10,146,988,320 would take you about six hundred forty-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 10146988320 cubic inches would be around 180.4 feet tall.
Recreational maths with 10146988320
- 10146988320 backwards is 02388964101
- 10146988320 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 10146988320's digits is 42
- More coming soon!
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