990431520
990,431,520 is an even composite number composed of seven prime numbers multiplied together.
990431520 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 990431520:
25 × 3 × 5 × 13 × 23 × 67 × 103
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 23 × 67 × 103)See below for interesting mathematical facts about the number 990431520 from the Numbermatics database.
Names of 990431520
- Cardinal: 990431520 can be written as Nine hundred ninety million, four hundred thirty-one thousand, five hundred twenty.
Scientific notation
- Scientific notation: 9.9043152 × 108
Factors of 990431520
Divisors of 990431520
- Number of divisors d(n): 384
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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 65 67 69 78 80 92 96 103 104 115 120 130 134 138 156 160 184 195 201 206 208 230 240 260 268 276 299 309 312 335 345 368 390 402 412 416 460 480 515 520 536 552 598 618 624 670 690 736 780 804 824 871 897 920 1005 1030 1040 1072 1104 1196 1236 1248 1339 1340 1380 1495 1541 1545 1560 1608 1648 1742 1794 1840 2010 2060 2080 2144 2208 2369 2392 2472 2613 2678 2680 2760 2990 3082 3090 3120 3216 3296 3484 3588 3680 4017 4020 4120 4355 4485 4623 4738 4784 4944 5226 5356 5360 5520 5980 6164 6180 6240 6432 6695 6901 6968 7107 7176 7705 8034 8040 8240 8710 8970 9246 9476 9568 9888 10452 10712 10720 11040 11845 11960 12328 12360 13065 13390 13802 13936 14214 14352 15410 16068 16080 16480 17420 17940 18492 18952 20033 20085 20703 20904 21424 23115 23690 23920 24656 24720 26130 26780 27604 27872 28428 28704 30797 30820 32136 32160 34505 34840 35535 35880 36984 37904 40066 40170 41406 41808 42848 46230 47380 47840 49312 49440 52260 53560 55208 56856 60099 61594 61640 64272 69010 69680 71070 71760 73968 75808 80132 80340 82812 83616 89713 92391 92460 94760 100165 103515 104520 107120 110416 113712 120198 123188 123280 128544 138020 139360 142140 143520 147936 153985 158723 160264 160680 165624 179426 184782 184920 189520 200330 207030 209040 214240 220832 227424 240396 246376 246560 269139 276040 284280 300495 307970 317446 320528 321360 331248 358852 369564 369840 379040 400660 414060 418080 448565 461955 476169 480792 492752 538278 552080 568560 600990 615940 634892 641056 642720 662496 717704 739128 739680 793615 801320 828120 897130 923910 952338 961584 985504 1076556 1104160 1137120 1201980 1231880 1269784 1345695 1435408 1478256 1587230 1602640 1656240 1794260 1847820 1904676 1923168 2063399 2153112 2380845 2403960 2463760 2539568 2691390 2870816 2956512 3174460 3205280 3312480 3588520 3695640 3809352 4126798 4306224 4761690 4807920 4927520 5079136 5382780 6190197 6348920 7177040 7391280 7618704 8253596 8612448 9523380 9615840 10316995 10765560 12380394 12697840 14354080 14782560 15237408 16507192 19046760 20633990 21531120 24760788 25395680 30950985 33014384 38093520 41267980 43062240 49521576 61901970 66028768 76187040 82535960 99043152 123803940 165071920 198086304 247607880 330143840 495215760 990431520
- Sum of all divisors σ(n): 3592802304
- Sum of proper divisors (its aliquot sum) s(n): 2602370784
- 990431520 is an abundant number, because the sum of its proper divisors (2602370784) is greater than itself. Its abundance is 1611939264
Bases of 990431520
- Binary: 1110110000100011001001001000002
- Hexadecimal: 0x3B08C920
- Base-36: GDODUO
Squares and roots of 990431520
- 990431520 squared (9904315202) is 980954595809510400
- 990431520 cubed (9904315203) is 971568351378599015927808000
-
The
square root of 990431520 is 31471.1220009709 -
The
cube root of 990431520 is 996.8002793743
Scales and comparisons
How big is 990431520?- 990,431,520 seconds is equal to 31 years, 25 weeks, 4 days, 7 hours, 52 minutes.
-
To count from 1 to 990,431,520 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 990431520 cubic inches would be around 83.1 feet tall.
Recreational maths with 990431520
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