993014400
993,014,400 is an even composite number composed of five prime numbers multiplied together.
993014400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 993014400:
27 × 3 × 52 × 72 × 2111
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 2111)See below for interesting mathematical facts about the number 993014400 from the Numbermatics database.
Names of 993014400
- Cardinal: 993014400 can be written as Nine hundred ninety-three million, fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 9.930144 × 108
Factors of 993014400
Divisors of 993014400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 128 140 147 150 160 168 175 192 196 200 210 224 240 245 280 294 300 320 336 350 384 392 400 420 448 480 490 525 560 588 600 640 672 700 735 784 800 840 896 960 980 1050 1120 1176 1200 1225 1344 1400 1470 1568 1600 1680 1920 1960 2100 2111 2240 2352 2400 2450 2688 2800 2940 3136 3200 3360 3675 3920 4200 4222 4480 4704 4800 4900 5600 5880 6272 6333 6720 7350 7840 8400 8444 9408 9600 9800 10555 11200 11760 12666 13440 14700 14777 15680 16800 16888 18816 19600 21110 22400 23520 25332 29400 29554 31360 31665 33600 33776 39200 42220 44331 47040 50664 52775 58800 59108 63330 67200 67552 73885 78400 84440 88662 94080 101328 103439 105550 117600 118216 126660 135104 147770 156800 158325 168880 177324 202656 206878 211100 221655 235200 236432 253320 270208 295540 310317 316650 337760 354648 369425 405312 413756 422200 443310 470400 472864 506640 517195 591080 620634 633300 675520 709296 738850 810624 827512 844400 886620 945728 1013280 1034390 1108275 1182160 1241268 1266600 1351040 1418592 1477700 1551585 1655024 1688800 1773240 1891456 2026560 2068780 2216550 2364320 2482536 2533200 2585975 2837184 2955400 3103170 3310048 3377600 3546480 4053120 4137560 4433100 4728640 4965072 5066400 5171950 5674368 5910800 6206340 6620096 6755200 7092960 7757925 8275120 8866200 9457280 9930144 10132800 10343900 11821600 12412680 13240192 14185920 15515850 16550240 17732400 19860288 20265600 20687800 23643200 24825360 28371840 31031700 33100480 35464800 39720576 41375600 47286400 49650720 62063400 66200960 70929600 82751200 99301440 124126800 141859200 165502400 198602880 248253600 331004800 496507200 993014400
- Sum of all divisors σ(n): 3806542080
- Sum of proper divisors (its aliquot sum) s(n): 2813527680
- 993014400 is an abundant number, because the sum of its proper divisors (2813527680) is greater than itself. Its abundance is 1820513280
Bases of 993014400
- Binary: 1110110011000000110010100000002
- Hexadecimal: 0x3B303280
- Base-36: GF7QTC
Squares and roots of 993014400
- 993014400 squared (9930144002) is 986077598607360000
- 993014400 cubed (9930144003) is 979189254934528425984000000
-
The
square root of 993014400 is 31512.1309974429 -
The
cube root of 993014400 is 997.6660234583
Scales and comparisons
How big is 993014400?- 993,014,400 seconds is equal to 31 years, 29 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 993,014,400 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 993014400 cubic inches would be around 83.1 feet tall.
Recreational maths with 993014400
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