242085038400
242,085,038,400 is an even composite number composed of six prime numbers multiplied together.
242085038400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 242085038400:
26 × 32 × 52 × 181 × 293 × 317
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 181 × 293 × 317)See below for interesting mathematical facts about the number 242085038400 from the Numbermatics database.
Names of 242085038400
- Cardinal: 242085038400 can be written as Two hundred forty-two billion, eighty-five million, thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.420850384 × 1011
Factors of 242085038400
Divisors of 242085038400
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 181 192 200 225 240 288 293 300 317 320 360 362 400 450 480 543 576 586 600 634 720 724 800 879 900 905 951 960 1086 1172 1200 1268 1440 1448 1465 1585 1600 1629 1758 1800 1810 1902 2172 2344 2400 2536 2637 2715 2853 2880 2896 2930 3170 3258 3516 3600 3620 3804 4344 4395 4525 4688 4755 4800 5072 5274 5430 5706 5792 5860 6340 6516 7032 7200 7240 7325 7608 7925 8145 8688 8790 9050 9376 9510 10144 10548 10860 11412 11584 11720 12680 13032 13185 13575 14064 14265 14400 14480 14650 15216 15850 16290 17376 17580 18100 18752 19020 20288 21096 21720 21975 22824 23440 23775 25360 26064 26370 27150 28128 28530 28960 29300 30432 31700 32580 34752 35160 36200 38040 40725 42192 43440 43950 45648 46880 47550 50720 52128 52740 53033 54300 56256 57060 57377 57920 58600 60864 63400 65160 65925 70320 71325 72400 76080 81450 84384 86880 87900 91296 92881 93760 95100 101440 104256 105480 106066 108600 114120 114754 117200 126800 130320 131850 140640 142650 144800 152160 159099 162900 168768 172131 173760 175800 182592 185762 190200 210960 212132 217200 228240 229508 234400 253600 260640 263700 265165 278643 281280 285300 286885 289600 304320 318198 325800 344262 351600 371524 380400 421920 424264 434400 456480 459016 464405 468800 477297 507200 516393 521280 527400 530330 557286 570600 573770 636396 651600 688524 703200 743048 760800 795495 835929 843840 848528 860655 868800 912960 918032 928810 954594 1032786 1054800 1060660 1114572 1141200 1147540 1272792 1303200 1325825 1377048 1393215 1406400 1434425 1486096 1521600 1590990 1671858 1697056 1721310 1836064 1857620 1909188 2065572 2109600 2121320 2229144 2282400 2295080 2322025 2386485 2545584 2581965 2606400 2651650 2754096 2786430 2868850 2972192 3181980 3343716 3394112 3442620 3672128 3715240 3818376 3977475 4131144 4179645 4219200 4242640 4303275 4458288 4564800 4590160 4644050 4772970 5091168 5163930 5303300 5508192 5572860 5737700 5944384 6363960 6687432 6885240 6966075 7430480 7636752 7954950 8262288 8359290 8485280 8606550 8916576 9180320 9288100 9545940 10182336 10327860 10606600 11016384 11145720 11475400 11932425 12727920 12909825 13374864 13770480 13932150 14860960 15273504 15909900 16524576 16718580 16811461 16970560 17213100 17833152 18360640 18576200 19091880 20655720 20898225 21213200 22291440 22950800 23864850 25455840 25819650 26749728 27540960 27864300 29721920 30547008 31819800 33049152 33437160 33622922 34426200 37152400 38183760 41311440 41796450 42426400 44582880 45901600 47729700 50434383 50911680 51639300 53499456 55081920 55728600 63639600 66874320 67245844 68852400 74304800 76367520 82622880 83592900 84057305 84852800 89165760 91803200 95459400 100868766 103278600 111457200 127279200 133748640 134491688 137704800 148609600 151303149 152735040 165245760 167185800 168114610 190918800 201737532 206557200 222914400 252171915 254558400 267497280 268983376 275409600 302606298 334371600 336229220 381837600 403475064 413114400 420286525 445828800 504343830 537966752 605212596 668743200 672458440 756515745 763675200 806950128 826228800 840573050 1008687660 1075933504 1210425192 1260859575 1337486400 1344916880 1513031490 1613900256 1681146100 2017375320 2420850384 2521719150 2689833760 3026062980 3227800512 3362292200 3782578725 4034750640 4841700768 5043438300 5379667520 6052125960 6724584400 7565157450 8069501280 9683401536 10086876600 12104251920 13449168800 15130314900 16139002560 20173753200 24208503840 26898337600 30260629800 40347506400 48417007680 60521259600 80695012800 121042519200 242085038400
- Sum of all divisors σ(n): 870872557464
- Sum of proper divisors (its aliquot sum) s(n): 628787519064
- 242085038400 is an abundant number, because the sum of its proper divisors (628787519064) is greater than itself. Its abundance is 386702480664
Bases of 242085038400
- Binary: 111000010111010110010010001001010000002
- Hexadecimal: 0x385D648940
- Base-36: 337N6J40
Squares and roots of 242085038400
- 242085038400 squared (2420850384002) is 58605165817129474560000
- 242085038400 cubed (2420850384003) is 14187433817278156226629423104000000
-
The
square root of 242085038400 is 492021.3800232669 -
The
cube root of 242085038400 is 6232.4095328675
Scales and comparisons
How big is 242085038400?- 242,085,038,400 seconds is equal to 7,697 years, 28 weeks, 6 days, 4 hours.
-
To count from 1 to 242,085,038,400 would take you about fifteen thousand, three hundred ninety-five 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 242085038400 cubic inches would be around 519.4 feet tall.
Recreational maths with 242085038400
- 242085038400 backwards is 004830580242
- 242085038400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 242085038400's digits is 36
- More coming soon!
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