42198007488
42,198,007,488 is an even composite number composed of six prime numbers multiplied together.
42198007488 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 42198007488:
26 × 3 × 7 × 133 × 31 × 461
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 13 × 31 × 461)See below for interesting mathematical facts about the number 42198007488 from the Numbermatics database.
Names of 42198007488
- Cardinal: 42198007488 can be written as Forty-two billion, one hundred ninety-eight million, seven thousand, four hundred eighty-eight.
Scientific notation
- Scientific notation: 4.2198007488 × 1010
Factors of 42198007488
Divisors of 42198007488
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 32 39 42 48 52 56 62 64 78 84 91 93 96 104 112 124 156 168 169 182 186 192 208 217 224 248 273 312 336 338 364 372 403 416 434 448 461 496 507 546 624 651 672 676 728 744 806 832 868 922 992 1014 1092 1183 1209 1248 1302 1344 1352 1383 1456 1488 1612 1736 1844 1984 2028 2184 2197 2366 2418 2496 2604 2704 2766 2821 2912 2976 3224 3227 3472 3549 3688 4056 4368 4394 4732 4836 5208 5239 5408 5532 5642 5824 5952 5993 6448 6454 6591 6944 7098 7376 8112 8463 8736 8788 9464 9672 9681 10416 10478 10816 11064 11284 11986 12896 12908 13182 13888 14196 14291 14752 15379 15717 16224 16926 17472 17576 17979 18928 19344 19362 20832 20956 22128 22568 23972 25792 25816 26364 28392 28582 29504 30758 31434 32448 33852 35152 35958 36673 37856 38688 38724 41664 41912 41951 42873 44256 45136 46137 47944 51632 52728 56784 57164 61516 62868 67704 68107 70304 71916 73346 75712 77376 77448 77909 83824 83902 85746 88512 90272 92274 95888 100037 103264 105456 110019 113568 114328 123032 125736 125853 135408 136214 140608 143832 146692 154896 155818 167648 167804 171492 180544 184548 185783 191776 200074 204321 206528 210912 220038 227136 228656 233727 246064 251472 251706 270816 272428 287664 293384 300111 309792 311636 335296 335608 342984 369096 371566 383552 400148 408642 421824 440076 457312 467454 476749 492128 502944 503412 541632 544856 545363 557349 575328 586768 600222 619584 623272 671216 685968 738192 743132 800296 817284 880152 914624 934908 953498 984256 1005888 1006824 1012817 1089712 1090726 1114698 1150656 1173536 1200444 1246544 1300481 1342432 1371936 1430247 1476384 1486264 1600592 1634568 1636089 1760304 1869816 1906996 2013648 2025634 2179424 2181452 2229396 2347072 2400888 2415179 2493088 2600962 2684864 2743872 2860494 2952768 2972528 3038451 3201184 3269136 3272178 3520608 3739632 3813992 3901443 4027296 4051268 4358848 4362904 4458792 4801776 4830358 4986176 5201924 5720988 5945056 6076902 6402368 6538272 6544356 7041216 7089719 7245537 7479264 7627984 7802886 8054592 8102536 8725808 8917584 9603552 9660716 10403848 11441976 11890112 12153804 13076544 13088712 14179438 14491074 14958528 15255968 15605772 16205072 16906253 17451616 17835168 19207104 19321432 20807696 21269157 22883952 24307608 26177424 28358876 28982148 30511936 31211544 31397327 32410144 33812506 34903232 35670336 38642864 41615392 42538314 45767904 48615216 50718759 52354848 56717752 57964296 62423088 62794654 64820288 67625012 77285728 83230784 85076628 91535808 94191981 97230432 101437518 104709696 113435504 115928592 124846176 125589308 135250024 154571456 170153256 188383962 194460864 202875036 219781289 226871008 231857184 249692352 251178616 270500048 340306512 376767924 405750072 439562578 453742016 463714368 502357232 541000096 659343867 680613024 753535848 811500144 879125156 1004714464 1082000192 1318687734 1361226048 1507071696 1623000288 1758250312 2009428928 2637375468 3014143392 3246000576 3516500624 5274750936 6028286784 7033001248 10549501872 14066002496 21099003744 42198007488
- Sum of all divisors σ(n): 142995578880
- Sum of proper divisors (its aliquot sum) s(n): 100797571392
- 42198007488 is an abundant number, because the sum of its proper divisors (100797571392) is greater than itself. Its abundance is 58599563904
Bases of 42198007488
- Binary: 1001110100110011001001111110110000002
- Hexadecimal: 0x9D3327EC0
- Base-36: JDVLQYO
Squares and roots of 42198007488
- 42198007488 squared (421980074882) is 1780671835957304070144
- 42198007488 cubed (421980074883) is 75140803467397024800229389238272
-
The
square root of 42198007488 is 205421.5360861659 -
The
cube root of 42198007488 is 3481.4806171529
Scales and comparisons
How big is 42198007488?- 42,198,007,488 seconds is equal to 1,341 years, 39 weeks, 5 days, 20 hours, 44 minutes, 48 seconds.
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To count from 1 to 42,198,007,488 would take you about two thousand, six hundred eighty-three 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 42198007488 cubic inches would be around 290.1 feet tall.
Recreational maths with 42198007488
- 42198007488 backwards is 88470089124
- The number of decimal digits it has is: 11
- The sum of 42198007488's digits is 51
- More coming soon!
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