990270400
990,270,400 is an even composite number composed of five prime numbers multiplied together.
990270400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 990270400:
26 × 52 × 72 × 17 × 743
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 17 × 743)See below for interesting mathematical facts about the number 990270400 from the Numbermatics database.
Names of 990270400
- Cardinal: 990270400 can be written as Nine hundred ninety million, two hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 9.902704 × 108
Factors of 990270400
Divisors of 990270400
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 64 68 70 80 85 98 100 112 119 136 140 160 170 175 196 200 224 238 245 272 280 320 340 350 392 400 425 448 476 490 544 560 595 680 700 743 784 800 833 850 952 980 1088 1120 1190 1225 1360 1400 1486 1568 1600 1666 1700 1904 1960 2240 2380 2450 2720 2800 2972 2975 3136 3332 3400 3715 3808 3920 4165 4760 4900 5201 5440 5600 5944 5950 6664 6800 7430 7616 7840 8330 9520 9800 10402 11200 11888 11900 12631 13328 13600 14860 15680 16660 18575 19040 19600 20804 20825 23776 23800 25262 26005 26656 27200 29720 33320 36407 37150 38080 39200 41608 41650 47552 47600 50524 52010 53312 59440 63155 66640 72814 74300 78400 83216 83300 88417 95200 101048 104020 118880 126310 130025 133280 145628 148600 166432 166600 176834 182035 190400 202096 208040 237760 252620 260050 266560 291256 297200 315775 332864 333200 353668 364070 404192 416080 442085 505240 520100 582512 594400 618919 631550 666400 707336 728140 808384 832160 884170 910175 1010480 1040200 1165024 1188800 1237838 1263100 1332800 1414672 1456280 1664320 1768340 1820350 2020960 2080400 2210425 2330048 2475676 2526200 2829344 2912560 3094595 3536680 3640700 4041920 4160800 4420850 4951352 5052400 5658688 5825120 6189190 7073360 7281400 8321600 8841700 9902704 10104800 11650240 12378380 14146720 14562800 15472975 17683400 19805408 20209600 24756760 28293440 29125600 30945950 35366800 39610816 49513520 58251200 61891900 70733600 99027040 123783800 141467200 198054080 247567600 495135200 990270400
- Sum of all divisors σ(n): 3005285328
- Sum of proper divisors (its aliquot sum) s(n): 2015014928
- 990270400 is an abundant number, because the sum of its proper divisors (2015014928) is greater than itself. Its abundance is 1024744528
Bases of 990270400
- Binary: 1110110000011001010011110000002
- Hexadecimal: 0x3B0653C0
- Base-36: GDKXJ4
Squares and roots of 990270400
- 990270400 squared (9902704002) is 980635465116160000
- 990270400 cubed (9902704003) is 971094274294765809664000000
-
The
square root of 990270400 is 31468.5620898063 -
The
cube root of 990270400 is 996.7462244271
Scales and comparisons
How big is 990270400?- 990,270,400 seconds is equal to 31 years, 25 weeks, 2 days, 11 hours, 6 minutes, 40 seconds.
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To count from 1 to 990,270,400 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 990270400 cubic inches would be around 83.1 feet tall.
Recreational maths with 990270400
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