10440142320400
10,440,142,320,400 is an even composite number composed of seven prime numbers multiplied together.
10440142320400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 10440142320400:
24 × 52 × 13 × 29 × 97 × 653 × 1093
(2 × 2 × 2 × 2 × 5 × 5 × 13 × 29 × 97 × 653 × 1093)See below for interesting mathematical facts about the number 10440142320400 from the Numbermatics database.
Names of 10440142320400
- Cardinal: 10440142320400 can be written as Ten trillion, four hundred forty billion, one hundred forty-two million, three hundred twenty thousand, four hundred.
Scientific notation
- Scientific notation: 1.04401423204 × 1013
Factors of 10440142320400
Divisors of 10440142320400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 29 40 50 52 58 65 80 97 100 104 116 130 145 194 200 208 232 260 290 325 377 388 400 464 485 520 580 650 653 725 754 776 970 1040 1093 1160 1261 1300 1306 1450 1508 1552 1885 1940 2186 2320 2425 2522 2600 2612 2813 2900 3016 3265 3770 3880 4372 4850 5044 5200 5224 5465 5626 5800 6032 6305 6530 7540 7760 8489 8744 9425 9700 10088 10448 10930 11252 11600 12610 13060 14065 14209 15080 16325 16978 17488 18850 18937 19400 20176 21860 22504 25220 26120 27325 28130 28418 30160 31525 31697 32650 33956 36569 37700 37874 38800 42445 43720 45008 50440 52240 54650 56260 56836 63050 63341 63394 65300 67912 70325 71045 73138 75400 75748 84890 87440 94685 100880 106021 109300 112520 113672 126100 126682 126788 130600 135824 140650 142090 146276 150800 151496 158485 169780 182845 189370 212042 212225 218600 225040 227344 246181 252200 253364 253576 261200 281300 284180 292552 302992 316705 316970 339560 355225 365690 378740 412061 424084 424450 437200 473425 492362 504400 506728 507152 530105 562600 568360 585104 633410 633940 679120 710450 713729 731380 757480 792425 823433 824122 848168 848900 914225 946850 984724 1013456 1060210 1125200 1136720 1230905 1266820 1267880 1378273 1420900 1427458 1462760 1514960 1583525 1584850 1646866 1648244 1696336 1697800 1828450 1836889 1893700 1969448 2060305 2120420 2461810 2533640 2535760 2650525 2756546 2841800 2854916 2925520 3074609 3167050 3169700 3293732 3296488 3395600 3568645 3656900 3673778 3787400 3938896 4117165 4120610 4240840 4923620 5067280 5301050 5513092 5683600 5709832 6149218 6154525 6334100 6339400 6587464 6592976 6891365 7137290 7313800 7347556 7574800 8234330 8241220 8481680 9184445 9278477 9847240 10301525 10602100 11026184 11419664 12298436 12309050 12668200 12678800 13174928 13782730 14274580 14627600 14695112 15373045 16468660 16482440 17843225 18368890 18556954 19694480 20585825 20603050 20698141 21204200 22052368 23879557 24596872 24618100 25336400 27565460 28549160 29390224 30746090 32937320 32964880 34456825 35686450 36737780 37113908 39969917 41171650 41206100 41396282 42408400 45922225 46392385 47759114 49193744 49236200 55130920 57098320 61492180 65874640 68913650 69231713 71372900 73475560 74227816 76865225 79939834 82343300 82412200 82792564 91844450 92784770 95518228 98472400 103490705 110261840 119397785 122984360 137827300 138463426 142745800 146951120 148455632 153730450 159879668 164686600 164824400 165585128 183688900 185569540 191036456 199849585 206981410 231961925 238795570 245968720 269075833 275654600 276926852 285491600 307460900 319759336 329373200 331170256 346158565 367377800 371139080 382072912 399699170 413962820 463923850 477591140 517453525 538151666 551309200 553853704 596988925 614921800 639518672 692317130 734755600 742278160 799398340 827925640 900012269 927847700 955182280 999247925 1034907050 1076303332 1107707408 1193977850 1229843600 1345379165 1384634260 1598796680 1655851280 1730792825 1800024538 1855695400 1910364560 1998495850 2007719677 2069814100 2152606664 2387955700 2690758330 2769268520 3197593360 3461585650 3600049076 3711390800 3996991700 4015439354 4139628200 4305213328 4500061345 4775911400 5381516660 5538537040 6726895825 6923171300 7200098152 7993983400 8030878708 8279256400 9000122690 9551822800 10038598385 10763033320 13453791650 13846342600 14400196304 15987966800 16061757416 18000245380 20077196770 21526066640 22500306725 26100355801 26907583300 27692685200 32123514832 36000490760 40154393540 45000613450 50192991925 52200711602 53815166600 72000981520 80308787080 90001226900 100385983850 104401423204 107630333200 130501779005 160617574160 180002453800 200771967700 208802846408 261003558010 360004907600 401543935400 417605692816 522007116020 652508895025 803087870800 1044014232040 1305017790050 2088028464080 2610035580100 5220071160200 10440142320400
- Sum of all divisors σ(n): 28300481465760
- Sum of proper divisors (its aliquot sum) s(n): 17860339145360
- 10440142320400 is an abundant number, because the sum of its proper divisors (17860339145360) is greater than itself. Its abundance is 7420196824960
Bases of 10440142320400
- Binary: 100101111110110010001111100101110011000100002
- Hexadecimal: 0x97EC8F97310
- Base-36: 3P84V6IOG
Squares and roots of 10440142320400
- 10440142320400 squared (104401423204002) is 108996571670207096256160000
- 10440142320400 cubed (104401423204003) is 1137939720672640817456332415193664000000
-
The
square root of 10440142320400 is 3231120.9077346517 -
The
cube root of 10440142320400 is 21855.9056070597
Scales and comparisons
How big is 10440142320400?- 10,440,142,320,400 seconds is equal to 331,964 years, 12 weeks, 13 hours, 26 minutes, 40 seconds.
-
To count from 1 to 10,440,142,320,400 would take you about eight hundred twenty-nine thousand, nine hundred ten 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 10440142320400 cubic inches would be around 1821.3 feet tall.
Recreational maths with 10440142320400
- 10440142320400 backwards is 00402324104401
- 10440142320400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10440142320400's digits is 25
- More coming soon!
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