10424966400
10,424,966,400 is an even composite number composed of five prime numbers multiplied together.
10424966400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty-six divisors.
Prime factorization of 10424966400:
28 × 32 × 52 × 29 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 29 × 79 × 79)See below for interesting mathematical facts about the number 10424966400 from the Numbermatics database.
Names of 10424966400
- Cardinal: 10424966400 can be written as Ten billion, four hundred twenty-four million, nine hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.04249664 × 1010
Factors of 10424966400
Divisors of 10424966400
- Number of divisors d(n): 486
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 60 64 72 75 79 80 87 90 96 100 116 120 128 144 145 150 158 160 174 180 192 200 225 232 237 240 256 261 288 290 300 316 320 348 360 384 395 400 435 450 464 474 480 522 576 580 600 632 640 696 711 720 725 768 790 800 870 900 928 948 960 1044 1152 1160 1185 1200 1264 1280 1305 1392 1422 1440 1450 1580 1600 1740 1800 1856 1896 1920 1975 2088 2175 2291 2304 2320 2370 2400 2528 2610 2784 2844 2880 2900 3160 3200 3480 3555 3600 3712 3792 3840 3950 4176 4350 4582 4640 4740 4800 5056 5220 5568 5688 5760 5800 5925 6241 6320 6400 6525 6873 6960 7110 7200 7424 7584 7900 8352 8700 9164 9280 9480 9600 10112 10440 11136 11376 11455 11520 11600 11850 12482 12640 13050 13746 13920 14220 14400 15168 15800 16704 17400 17775 18328 18560 18723 18960 19200 20224 20619 20880 22272 22752 22910 23200 23700 24964 25280 26100 27492 27840 28440 28800 30336 31205 31600 33408 34365 34800 35550 36656 37120 37446 37920 41238 41760 45504 45820 46400 47400 49928 50560 52200 54984 55680 56169 56880 57275 57600 60672 62410 63200 66816 68730 69600 71100 73312 74892 75840 82476 83520 91008 91640 92800 93615 94800 99856 101120 103095 104400 109968 111360 112338 113760 114550 124820 126400 137460 139200 142200 146624 149784 151680 156025 164952 167040 171825 180989 182016 183280 185600 187230 189600 199712 206190 208800 219936 224676 227520 229100 249640 252800 274920 278400 280845 284400 293248 299568 303360 312050 329904 334080 343650 361978 366560 374460 379200 399424 412380 417600 439872 449352 455040 458200 468075 499280 505600 515475 542967 549840 556800 561690 568800 586496 599136 624100 659808 687300 723956 733120 748920 758400 798848 824760 835200 879744 898704 904945 910080 916400 936150 998560 1030950 1085934 1099680 1123380 1137600 1198272 1248200 1319616 1374600 1404225 1447912 1466240 1497840 1516800 1597696 1628901 1649520 1670400 1759488 1797408 1809890 1832800 1872300 1997120 2061900 2171868 2199360 2246760 2275200 2396544 2496400 2639232 2714835 2749200 2808450 2895824 2932480 2995680 3257802 3299040 3594816 3619780 3665600 3744600 3994240 4123800 4343736 4398720 4493520 4524725 4550400 4793088 4992800 5278464 5429670 5498400 5616900 5791648 5991360 6515604 6598080 7189632 7239560 7331200 7489200 7988480 8144505 8247600 8687472 8797440 8987040 9049450 9985600 10859340 10996800 11233800 11583296 11982720 13031208 13196160 13574175 14379264 14479120 14662400 14978400 16289010 16495200 17374944 17974080 18098900 19971200 21718680 21993600 22467600 23166592 23965440 26062416 26392320 27148350 28958240 29956800 32578020 32990400 34749888 35948160 36197800 39942400 40722525 43437360 43987200 44935200 46333184 52124832 54296700 57916480 59913600 65156040 65980800 69499776 71896320 72395600 81445050 86874720 89870400 104249664 108593400 115832960 119827200 130312080 131961600 138999552 144791200 162890100 173749440 179740800 208499328 217186800 231665920 260624160 289582400 325780200 347498880 359481600 416998656 434373600 521248320 579164800 651560400 694997760 868747200 1042496640 1158329600 1303120800 1737494400 2084993280 2606241600 3474988800 5212483200 10424966400
- Sum of all divisors σ(n): 39051074790
- Sum of proper divisors (its aliquot sum) s(n): 28626108390
- 10424966400 is an abundant number, because the sum of its proper divisors (28626108390) is greater than itself. Its abundance is 18201141990
Bases of 10424966400
- Binary: 10011011010110000001011101000000002
- Hexadecimal: 0x26D605D00
- Base-36: 4SER7K0
Squares and roots of 10424966400
- 10424966400 squared (104249664002) is 108679924441128960000
- 10424966400 cubed (104249664003) is 1132984560653308186066944000000
-
The
square root of 10424966400 is 102102.7247432701 -
The
cube root of 10424966400 is 2184.5310466477
Scales and comparisons
How big is 10424966400?- 10,424,966,400 seconds is equal to 331 years, 25 weeks, 8 hours.
-
To count from 1 to 10,424,966,400 would take you about six hundred sixty-two 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 10424966400 cubic inches would be around 182 feet tall.
Recreational maths with 10424966400
- 10424966400 backwards is 00466942401
- 10424966400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 10424966400's digits is 36
- More coming soon!
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