990400400
990,400,400 is an even composite number composed of six prime numbers multiplied together.
990400400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 990400400:
24 × 52 × 11 × 31 × 53 × 137
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 31 × 53 × 137)See below for interesting mathematical facts about the number 990400400 from the Numbermatics database.
Names of 990400400
- Cardinal: 990400400 can be written as Nine hundred ninety million, four hundred thousand, four hundred.
Scientific notation
- Scientific notation: 9.904004 × 108
Factors of 990400400
Divisors of 990400400
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 53 55 62 80 88 100 106 110 124 137 155 176 200 212 220 248 265 274 275 310 341 400 424 440 496 530 548 550 583 620 682 685 775 848 880 1060 1096 1100 1166 1240 1325 1364 1370 1507 1550 1643 1705 2120 2192 2200 2332 2480 2650 2728 2740 2915 3014 3100 3286 3410 3425 4240 4247 4400 4664 5300 5456 5480 5830 6028 6200 6572 6820 6850 7261 7535 8215 8494 8525 9328 10600 10960 11660 12056 12400 13144 13640 13700 14522 14575 15070 16430 16988 17050 18073 21200 21235 23320 24112 26288 27280 27400 29044 29150 30140 32860 33976 34100 36146 36305 37675 41075 42470 46640 46717 54800 58088 58300 60280 65720 67952 68200 72292 72610 75350 79871 82150 84940 90365 93434 106175 116176 116600 120560 131440 136400 144584 145220 150700 159742 164300 169880 180730 181525 186868 212350 225091 233200 233585 289168 290440 301400 319484 328600 339760 361460 363050 373736 399355 424700 450182 451825 467170 580880 602800 638968 657200 722920 726100 747472 798710 849400 900364 903650 934340 1125455 1167925 1277936 1445840 1452200 1597420 1698800 1800728 1807300 1868680 1996775 2250910 2335850 2476001 2904400 3194840 3601456 3614600 3737360 3993550 4501820 4671700 4952002 5627275 6389680 7229200 7987100 9003640 9343400 9904004 11254550 12380005 15974200 18007280 18686800 19808008 22509100 24760010 31948400 39616016 45018200 49520020 61900025 90036400 99040040 123800050 198080080 247600100 495200200 990400400
- Sum of all divisors σ(n): 2749966848
- Sum of proper divisors (its aliquot sum) s(n): 1759566448
- 990400400 is an abundant number, because the sum of its proper divisors (1759566448) is greater than itself. Its abundance is 769166048
Bases of 990400400
- Binary: 1110110000100001001111100100002
- Hexadecimal: 0x3B084F90
- Base-36: GDNPU8
Squares and roots of 990400400
- 990400400 squared (9904004002) is 980892952320160000
- 990400400 cubed (9904004003) is 971476772335067392064000000
-
The
square root of 990400400 is 31470.6275755663 -
The
cube root of 990400400 is 996.7898392281
Scales and comparisons
How big is 990400400?- 990,400,400 seconds is equal to 31 years, 25 weeks, 3 days, 23 hours, 13 minutes, 20 seconds.
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To count from 1 to 990,400,400 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 990400400 cubic inches would be around 83.1 feet tall.
Recreational maths with 990400400
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