42472424400
42,472,424,400 is an even composite number composed of seven prime numbers multiplied together.
42472424400 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 42472424400:
24 × 3 × 52 × 7 × 43 × 59 × 1993
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 43 × 59 × 1993)See below for interesting mathematical facts about the number 42472424400 from the Numbermatics database.
Names of 42472424400
- Cardinal: 42472424400 can be written as Forty-two billion, four hundred seventy-two million, four hundred twenty-four thousand, four hundred.
Scientific notation
- Scientific notation: 4.24724244 × 1010
Factors of 42472424400
Divisors of 42472424400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 43 48 50 56 59 60 70 75 80 84 86 100 105 112 118 120 129 140 150 168 172 175 177 200 210 215 236 240 258 280 295 300 301 336 344 350 354 400 413 420 430 472 516 525 560 590 600 602 645 688 700 708 826 840 860 885 903 944 1032 1050 1075 1180 1200 1204 1239 1290 1400 1416 1475 1505 1652 1680 1720 1770 1806 1993 2064 2065 2100 2150 2360 2408 2478 2537 2580 2800 2832 2950 3010 3225 3304 3440 3540 3612 3986 4130 4200 4300 4425 4515 4720 4816 4956 5074 5160 5900 5979 6020 6195 6450 6608 7080 7224 7525 7611 7972 8260 8400 8600 8850 9030 9912 9965 10148 10320 10325 11800 11958 12040 12390 12685 12900 13951 14160 14448 15050 15222 15944 16520 17200 17700 17759 18060 19824 19930 20296 20650 22575 23600 23916 24080 24780 25370 25800 27902 29895 30100 30444 30975 31888 33040 35400 35518 36120 38055 39860 40592 41300 41853 45150 47832 49560 49825 50740 51600 53277 55804 59790 60200 60888 61950 63425 69755 70800 71036 72240 76110 79720 82600 83706 85699 88795 90300 95664 99120 99650 101480 106554 111608 117587 119580 120400 121776 123900 126850 139510 142072 149475 152220 159440 165200 167412 171398 177590 180600 190275 199300 202960 209265 213108 223216 235174 239160 247800 253700 257097 266385 279020 284144 298950 304440 334824 342796 348775 352761 355180 361200 380550 398600 418530 426216 428495 443975 470348 478320 495600 507400 514194 532770 558040 587935 597900 599893 608880 669648 685592 697550 705522 710360 761100 797200 823109 837060 852432 856990 887950 940696 1014800 1028388 1046325 1065540 1116080 1175870 1195800 1199786 1285485 1331925 1371184 1395100 1411044 1420720 1522200 1646218 1674120 1713980 1763805 1775900 1799679 1881392 2056776 2092650 2131080 2142475 2351740 2391600 2399572 2469327 2570970 2663850 2790200 2822088 2939675 2999465 3044400 3292436 3348240 3427960 3527610 3551800 3599358 4113552 4115545 4185300 4262160 4284950 4703480 4799144 4938654 5056241 5141940 5327700 5580400 5644176 5879350 5998930 6427425 6584872 6855920 7055220 7103600 7198716 8231090 8370600 8569900 8819025 8998395 9406960 9598288 9877308 10112482 10283880 10655400 11758700 11997860 12346635 12854850 13169744 14110440 14397432 14997325 15168723 16462180 16741200 17139800 17638050 17996790 19754616 20224964 20567760 20577725 21310800 23517400 23995720 24693270 25281205 25709700 28220880 28794864 29994650 30337446 32924360 34279600 35276100 35393687 35993580 39509232 40449928 41155450 44991975 47034800 47991440 49386540 50562410 51419400 59989300 60674892 61733175 65848720 70552200 70787374 71987160 75843615 80899856 82310900 89983950 98773080 101124820 102838800 106181061 119978600 121349784 123466350 126406025 141104400 141574748 143974320 151687230 164621800 176968435 179967900 197546160 202249640 212362122 239957200 242699568 246932700 252812050 283149496 303374460 329243600 353936870 359935800 379218075 404499280 424724244 493865400 505624100 530905305 566298992 606748920 707873740 719871600 758436150 849448488 884842175 987730800 1011248200 1061810610 1213497840 1415747480 1516872300 1698896976 1769684350 2022496400 2123621220 2654526525 2831494960 3033744600 3539368700 4247242440 5309053050 6067489200 7078737400 8494484880 10618106100 14157474800 21236212200 42472424400
- Sum of all divisors σ(n): 161883448320
- Sum of proper divisors (its aliquot sum) s(n): 119411023920
- 42472424400 is an abundant number, because the sum of its proper divisors (119411023920) is greater than itself. Its abundance is 76938599520
Bases of 42472424400
- Binary: 1001111000111000110111000011110100002
- Hexadecimal: 0x9E38DC3D0
- Base-36: JIEZGEO
Squares and roots of 42472424400
- 42472424400 squared (424724244002) is 1803906834413715360000
- 42472424400 cubed (424724244003) is 76616296649279843950718784000000
-
The
square root of 42472424400 is 206088.3897748731 -
The
cube root of 42472424400 is 3489.0110962973
Scales and comparisons
How big is 42472424400?- 42,472,424,400 seconds is equal to 1,350 years, 25 weeks, 3 days, 23 hours, 40 minutes.
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To count from 1 to 42,472,424,400 would take you about two thousand, seven hundred 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 42472424400 cubic inches would be around 290.8 feet tall.
Recreational maths with 42472424400
- 42472424400 backwards is 00442427424
- The number of decimal digits it has is: 11
- The sum of 42472424400's digits is 33
- More coming soon!
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