12428006400
12,428,006,400 is an even composite number composed of six prime numbers multiplied together.
12428006400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 12428006400:
210 × 32 × 52 × 17 × 19 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 19 × 167)See below for interesting mathematical facts about the number 12428006400 from the Numbermatics database.
Names of 12428006400
- Cardinal: 12428006400 can be written as Twelve billion, four hundred twenty-eight million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.24280064 × 1010
Factors of 12428006400
Divisors of 12428006400
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 30 32 34 36 38 40 45 48 50 51 57 60 64 68 72 75 76 80 85 90 95 96 100 102 114 120 128 136 144 150 152 153 160 167 170 171 180 190 192 200 204 225 228 240 255 256 272 285 288 300 304 306 320 323 334 340 342 360 380 384 400 408 425 450 456 475 480 501 510 512 544 570 576 600 608 612 640 646 668 680 684 720 760 765 768 800 816 835 850 855 900 912 950 960 969 1002 1020 1024 1088 1140 1152 1200 1216 1224 1275 1280 1292 1336 1360 1368 1425 1440 1503 1520 1530 1536 1600 1615 1632 1670 1700 1710 1800 1824 1900 1920 1938 2004 2040 2176 2280 2304 2400 2432 2448 2505 2550 2560 2584 2672 2720 2736 2839 2850 2880 2907 3006 3040 3060 3072 3173 3200 3230 3264 3340 3400 3420 3600 3648 3800 3825 3840 3876 4008 4080 4175 4275 4352 4560 4608 4800 4845 4864 4896 5010 5100 5120 5168 5344 5440 5472 5678 5700 5760 5814 6012 6080 6120 6346 6400 6460 6528 6680 6800 6840 7200 7296 7515 7600 7650 7680 7752 8016 8075 8160 8350 8517 8550 8704 9120 9216 9519 9600 9690 9728 9792 10020 10200 10336 10688 10880 10944 11356 11400 11520 11628 12024 12160 12240 12525 12692 12800 12920 13056 13360 13600 13680 14195 14400 14535 14592 15030 15200 15300 15360 15504 15865 16032 16150 16320 16700 17034 17100 17408 18240 19038 19200 19380 19456 19584 20040 20400 20672 21376 21760 21888 22712 22800 23040 23256 24048 24225 24320 24480 25050 25384 25551 25600 25840 26112 26720 27200 27360 28390 28557 28800 29070 29184 30060 30400 30600 31008 31730 32064 32300 32640 33400 34068 34200 36480 37575 38076 38400 38760 39168 40080 40800 41344 42585 42752 43520 43776 45424 45600 46080 46512 47595 48096 48450 48640 48960 50100 50768 51102 51680 52224 53440 53941 54400 54720 56780 57114 57600 58140 58368 60120 60800 61200 62016 63460 64128 64600 65280 66800 68136 68400 70975 72675 72960 75150 76152 76800 77520 78336 79325 80160 81600 82688 85170 85504 87040 87552 90848 91200 93024 95190 96192 96900 97280 97920 100200 101536 102204 103360 106880 107882 108800 109440 113560 114228 115200 116280 120240 121600 122400 124032 126920 127755 128256 129200 130560 133600 136272 136800 141950 142785 145350 145920 150300 152304 155040 156672 158650 160320 161823 163200 165376 170340 171008 175104 181696 182400 186048 190380 192384 193800 195840 200400 203072 204408 206720 212925 213760 215764 217600 218880 227120 228456 230400 232560 237975 240480 243200 244800 248064 253840 255510 256512 258400 261120 267200 269705 272544 273600 283900 285570 290700 291840 300600 304608 310080 317300 320640 323646 326400 330752 340680 363392 364800 372096 380760 384768 387600 391680 400800 406144 408816 413440 425850 427520 431528 435200 437760 454240 456912 465120 475950 480960 485469 486400 489600 496128 507680 511020 513024 516800 534400 539410 545088 547200 567800 571140 581400 601200 609216 620160 634600 638775 641280 647292 652800 681360 713925 726784 729600 744192 761520 769536 775200 783360 801600 809115 812288 817632 826880 851700 855040 863056 875520 908480 913824 930240 951900 961920 970938 979200 992256 1015360 1022040 1033600 1068800 1078820 1090176 1094400 1135600 1142280 1162800 1202400 1218432 1240320 1269200 1277550 1282560 1294584 1305600 1348525 1362720 1427850 1453568 1459200 1488384 1523040 1539072 1550400 1603200 1618230 1624576 1635264 1653760 1703400 1726112 1816960 1827648 1860480 1903800 1923840 1941876 1958400 2030720 2044080 2067200 2137600 2157640 2180352 2188800 2271200 2284560 2325600 2404800 2427345 2436864 2480640 2538400 2555100 2565120 2589168 2697050 2725440 2855700 2907136 2976768 3046080 3100800 3206400 3236460 3249152 3270528 3406800 3452224 3633920 3655296 3720960 3807600 3847680 3883752 3916800 4045575 4061440 4088160 4134400 4275200 4315280 4360704 4377600 4542400 4569120 4651200 4809600 4854690 4873728 4961280 5076800 5110200 5178336 5394100 5450880 5711400 6092160 6201600 6412800 6472920 6541056 6813600 6904448 7267840 7310592 7441920 7615200 7695360 7767504 8091150 8122880 8176320 8268800 8630560 8721408 9084800 9138240 9302400 9619200 9709380 9747456 10153600 10220400 10356672 10788200 10901760 11422800 12136725 12184320 12403200 12825600 12945840 13082112 13627200 13808896 14535680 14621184 14883840 15230400 15535008 16182300 16245760 16352640 17261120 18169600 18276480 18604800 19238400 19418760 20307200 20440800 20713344 21576400 21803520 22845600 24273450 24368640 24806400 25891680 26164224 27254400 27617792 29242368 30460800 31070016 32364600 32705280 34522240 36339200 36552960 37209600 38476800 38837520 40614400 40881600 41426688 43152800 43607040 45691200 48546900 48737280 51783360 54508800 55235584 60921600 62140032 64729200 65410560 69044480 72678400 73105920 74419200 77675040 81228800 81763200 82853376 86305600 91382400 97093800 103566720 109017600 121843200 124280064 129458400 130821120 138088960 146211840 155350080 163526400 165706752 172611200 182764800 194187600 207133440 218035200 243686400 248560128 258916800 276177920 310700160 327052800 345222400 365529600 388375200 414266880 497120256 517833600 621400320 654105600 690444800 731059200 776750400 828533760 1035667200 1242800640 1380889600 1553500800 2071334400 2485601280 3107001600 4142668800 6214003200 12428006400
- Sum of all divisors σ(n): 49892431680
- Sum of proper divisors (its aliquot sum) s(n): 37464425280
- 12428006400 is an abundant number, because the sum of its proper divisors (37464425280) is greater than itself. Its abundance is 25036418880
Bases of 12428006400
- Binary: 10111001001100010001010100000000002
- Hexadecimal: 0x2E4C45400
- Base-36: 5PJBB40
Squares and roots of 12428006400
- 12428006400 squared (124280064002) is 154455343078440960000
- 12428006400 cubed (124280064003) is 1919571992293059952902144000000
-
The
square root of 12428006400 is 111480.9687794289 -
The
cube root of 12428006400 is 2316.3303062773
Scales and comparisons
How big is 12428006400?- 12,428,006,400 seconds is equal to 395 years, 8 weeks, 6 days, 16 hours.
-
To count from 1 to 12,428,006,400 would take you about seven hundred ninety 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 12428006400 cubic inches would be around 193 feet tall.
Recreational maths with 12428006400
- 12428006400 backwards is 00460082421
- The number of decimal digits it has is: 11
- The sum of 12428006400's digits is 27
- More coming soon!
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The information we have on file for 12428006400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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