968630400
968,630,400 is an even composite number composed of five prime numbers multiplied together.
968630400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 968630400:
27 × 34 × 52 × 37 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 37 × 101)See below for interesting mathematical facts about the number 968630400 from the Numbermatics database.
Names of 968630400
- Cardinal: 968630400 can be written as Nine hundred sixty-eight million, six hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 9.686304 × 108
Factors of 968630400
Divisors of 968630400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 37 40 45 48 50 54 60 64 72 74 75 80 81 90 96 100 101 108 111 120 128 135 144 148 150 160 162 180 185 192 200 202 216 222 225 240 270 288 296 300 303 320 324 333 360 370 384 400 404 405 432 444 450 480 505 540 555 576 592 600 606 640 648 666 675 720 740 800 808 810 864 888 900 909 925 960 999 1010 1080 1110 1152 1184 1200 1212 1296 1332 1350 1440 1480 1515 1600 1616 1620 1665 1728 1776 1800 1818 1850 1920 1998 2020 2025 2160 2220 2368 2400 2424 2525 2592 2664 2700 2727 2775 2880 2960 2997 3030 3200 3232 3240 3330 3456 3552 3600 3636 3700 3737 3996 4040 4050 4320 4440 4545 4736 4800 4848 4995 5050 5184 5328 5400 5454 5550 5760 5920 5994 6060 6464 6480 6660 7104 7200 7272 7400 7474 7575 7992 8080 8100 8181 8325 8640 8880 9090 9600 9696 9990 10100 10368 10656 10800 10908 11100 11211 11840 11988 12120 12928 12960 13320 13635 14208 14400 14544 14800 14948 14985 15150 15984 16160 16200 16362 16650 17280 17760 18180 18685 19392 19980 20200 21312 21600 21816 22200 22422 22725 23680 23976 24240 24975 25920 26640 27270 28800 29088 29600 29896 29970 30300 31968 32320 32400 32724 33300 33633 35520 36360 37370 38784 39960 40400 40905 42624 43200 43632 44400 44844 45450 47952 48480 49950 51840 53280 54540 56055 58176 59200 59792 59940 60600 63936 64640 64800 65448 66600 67266 68175 71040 72720 74740 74925 79920 80800 81810 86400 87264 88800 89688 90900 93425 95904 96960 99900 100899 106560 109080 112110 116352 118400 119584 119880 121200 127872 129600 130896 133200 134532 136350 145440 149480 149850 159840 161600 163620 168165 174528 177600 179376 181800 186850 191808 193920 199800 201798 204525 213120 218160 224220 239168 239760 242400 259200 261792 266400 269064 272700 280275 290880 298960 299700 302697 319680 323200 327240 336330 349056 355200 358752 363600 373700 383616 399600 403596 409050 436320 448440 478336 479520 484800 504495 523584 532800 538128 545400 560550 581760 597920 599400 605394 639360 654480 672660 717504 727200 747400 799200 807192 818100 840825 872640 896880 959040 969600 1008990 1047168 1065600 1076256 1090800 1121100 1195840 1198800 1210788 1308960 1345320 1435008 1454400 1494800 1513485 1598400 1614384 1636200 1681650 1745280 1793760 1918080 2017980 2152512 2181600 2242200 2391680 2397600 2421576 2522475 2617920 2690640 2908800 2989600 3026970 3196800 3228768 3272400 3363300 3587520 4035960 4305024 4363200 4484400 4795200 4843152 5044950 5235840 5381280 5979200 6053940 6457536 6544800 6726600 7175040 7567425 8071920 8726400 8968800 9590400 9686304 10089900 10762560 11958400 12107880 12915072 13089600 13453200 15134850 16143840 17937600 19372608 20179800 21525120 24215760 26179200 26906400 30269700 32287680 35875200 38745216 40359600 48431520 53812800 60539400 64575360 80719200 96863040 107625600 121078800 161438400 193726080 242157600 322876800 484315200 968630400
- Sum of all divisors σ(n): 3707413380
- Sum of proper divisors (its aliquot sum) s(n): 2738782980
- 968630400 is an abundant number, because the sum of its proper divisors (2738782980) is greater than itself. Its abundance is 1770152580
Bases of 968630400
- Binary: 1110011011110000100000100000002
- Hexadecimal: 0x39BC2080
- Base-36: G0P400
Squares and roots of 968630400
- 968630400 squared (9686304002) is 938244851804160000
- 968630400 cubed (9686304003) is 908812486101004222464000000
-
The
square root of 968630400 is 31122.8276350335 -
The
cube root of 968630400 is 989.4321812743
Scales and comparisons
How big is 968630400?- 968,630,400 seconds is equal to 30 years, 41 weeks, 4 days.
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To count from 1 to 968,630,400 would take you about forty-six 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 968630400 cubic inches would be around 82.5 feet tall.
Recreational maths with 968630400
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