993376020
993,376,020 is an even composite number composed of seven prime numbers multiplied together.
993376020 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 993376020:
22 × 3 × 5 × 73 × 13 × 47 × 79
(2 × 2 × 3 × 5 × 7 × 7 × 7 × 13 × 47 × 79)See below for interesting mathematical facts about the number 993376020 from the Numbermatics database.
Names of 993376020
- Cardinal: 993376020 can be written as Nine hundred ninety-three million, three hundred seventy-six thousand and twenty.
Scientific notation
- Scientific notation: 9.9337602 × 108
Factors of 993376020
Divisors of 993376020
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 47 49 52 60 65 70 78 79 84 91 94 98 105 130 140 141 147 156 158 182 188 195 196 210 235 237 245 260 273 282 294 316 329 343 364 390 395 420 455 470 474 490 546 553 564 588 611 637 658 686 705 735 780 790 910 940 948 980 987 1027 1029 1092 1106 1185 1222 1274 1316 1365 1372 1410 1470 1580 1645 1659 1715 1820 1833 1911 1974 2054 2058 2212 2303 2370 2444 2548 2730 2765 2820 2940 3055 3081 3185 3290 3318 3430 3666 3713 3822 3871 3948 4108 4116 4277 4459 4606 4740 4935 5135 5145 5460 5530 6110 6162 6370 6580 6636 6860 6909 7189 7332 7426 7644 7742 8295 8554 8918 9165 9212 9555 9870 10270 10290 11060 11139 11515 11613 12220 12324 12740 12831 13377 13818 14378 14852 15405 15484 16121 16590 17108 17836 18330 18565 19110 19355 19740 20540 20580 21385 21567 22278 22295 23030 23226 25662 25991 26754 27097 27636 28756 29939 30810 32242 33180 34545 35945 36660 37130 38220 38710 42770 43134 44556 44590 46060 46452 48269 48363 50323 51324 51982 53508 54194 55695 58065 59878 61620 64155 64484 66885 69090 71890 74260 77420 77973 80605 81291 85540 86268 89180 89817 96538 96726 100646 103964 107835 108388 111390 116130 119756 128310 129955 133770 135485 138180 143780 144807 149695 150969 155946 161210 162582 179634 181937 193076 193452 201292 209573 215670 222780 232260 241345 241815 251615 256620 259910 267540 270970 289614 299390 301938 311892 322420 325164 337883 352261 359268 363874 389865 406455 419146 431340 449085 482690 483630 503230 519820 541940 545811 579228 598780 603876 628719 675766 704522 724035 727748 754845 779730 812910 838292 898170 909685 965380 967260 1006460 1013649 1047865 1056783 1091622 1257438 1273559 1351532 1409044 1448070 1509690 1559460 1625820 1689415 1761305 1796340 1819370 2027298 2095730 2113566 2183244 2365181 2514876 2547118 2729055 2896140 3019380 3143595 3378830 3522610 3638740 3820677 4054596 4191460 4227132 4730362 5068245 5094236 5283915 5458110 6287190 6367795 6757660 7045220 7095543 7641354 9460724 10136490 10567830 10916220 11825905 12574380 12735590 14191086 15282708 16556267 19103385 20272980 21135660 23651810 25471180 28382172 33112534 35477715 38206770 47303620 49668801 66225068 70955430 76413540 82781335 99337602 141910860 165562670 198675204 248344005 331125340 496688010 993376020
- Sum of all divisors σ(n): 3612672000
- Sum of proper divisors (its aliquot sum) s(n): 2619295980
- 993376020 is an abundant number, because the sum of its proper divisors (2619295980) is greater than itself. Its abundance is 1625919960
Bases of 993376020
- Binary: 1110110011010110110111000101002
- Hexadecimal: 0x3B35B714
- Base-36: GFFHUC
Squares and roots of 993376020
- 993376020 squared (9933760202) is 986795917111040400
- 993376020 cubed (9933760203) is 980259400692015210611208000
-
The
square root of 993376020 is 31517.8682654775 -
The
cube root of 993376020 is 997.7871134117
Scales and comparisons
How big is 993376020?- 993,376,020 seconds is equal to 31 years, 30 weeks, 3 days, 9 hours, 47 minutes.
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To count from 1 to 993,376,020 would take you about forty-seven 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 993376020 cubic inches would be around 83.1 feet tall.
Recreational maths with 993376020
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