42434398142156800
42,434,398,142,156,800 is an even composite number composed of six prime numbers multiplied together.
42434398142156800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred six divisors.
Prime factorization of 42434398142156800:
212 × 52 × 132 × 312 × 592 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 31 × 31 × 59 × 59 × 733)See below for interesting mathematical facts about the number 42434398142156800 from the Numbermatics database.
Names of 42434398142156800
- Cardinal: 42434398142156800 can be written as Forty-two quadrillion, four hundred thirty-four trillion, three hundred ninety-eight billion, one hundred forty-two million, one hundred fifty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 4.24343981421568 × 1016
Factors of 42434398142156800
Divisors of 42434398142156800
- Number of divisors d(n): 2106
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 31 32 40 50 52 59 62 64 65 80 100 104 118 124 128 130 155 160 169 200 208 236 248 256 260 295 310 320 325 338 400 403 416 472 496 512 520 590 620 640 650 676 733 767 775 800 806 832 845 944 961 992 1024 1040 1180 1240 1280 1300 1352 1466 1475 1534 1550 1600 1612 1664 1690 1829 1888 1922 1984 2015 2048 2080 2360 2480 2560 2600 2704 2932 2950 3068 3100 3200 3224 3328 3380 3481 3658 3665 3776 3835 3844 3968 4030 4096 4160 4225 4720 4805 4960 5120 5200 5239 5408 5864 5900 6136 6200 6400 6448 6656 6760 6962 7316 7330 7552 7670 7688 7936 8060 8320 8450 9145 9440 9529 9610 9920 9971 10075 10240 10400 10478 10816 11728 11800 12272 12400 12493 12800 12896 13312 13520 13924 14632 14660 15104 15340 15376 15872 16120 16640 16900 17405 18290 18325 18880 19058 19175 19220 19840 19942 20150 20480 20800 20956 21632 22723 23456 23600 23777 24025 24544 24800 24986 25600 25792 26195 26624 27040 27848 29264 29320 30208 30680 30752 31744 32240 33280 33800 34810 36580 36650 37760 38116 38350 38440 39680 39884 40300 41600 41912 43247 43264 45253 45446 45725 46912 47200 47554 47645 48050 49088 49600 49855 49972 51200 51584 52390 53248 54080 55696 56699 58528 58640 60416 61360 61504 62465 63488 64480 66560 67600 69620 73160 73300 75520 76232 76700 76880 79360 79768 80600 83200 83824 86494 86528 87025 90506 90892 91450 93824 94400 95108 95290 96100 98176 99200 99710 99944 102400 103168 104780 107911 108160 111392 113398 113615 117056 117280 118885 120832 122720 123008 123877 124930 126976 128960 130975 133120 135200 139240 146320 146600 151040 152464 153400 153760 158720 159536 161200 162409 166400 167648 172988 173056 174050 181012 181784 182900 187648 188800 190216 190580 192200 196352 198400 199420 199888 206336 209560 215822 216235 216320 222784 226265 226796 227230 234112 234560 237770 238225 241664 245440 246016 247754 249275 249860 257920 261950 266240 270400 278480 283495 292640 293200 295399 302080 304928 306800 307520 309101 312325 317440 319072 322400 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10043644530688 10200576476480 10359960483925 10529627330560 10694152757600 11039125427200 11065032110080 11237923236800 11578280529920 11600436889600 12190289612800 12554555663360 12750720595600 13162034163200 13260749419424 13688515529728 13831290137600 14384541743104 14472850662400 15693194579200 16320922362368 16575936774280 17110644412160 17980677178880 20401152952960 20719920967850 21059254661120 21388305515200 22078250854400 22475846473600 23200873779200 25109111326720 25501441191200 26324068326400 26521498838848 27377031059456 27662580275200 28769083486208 28945701324800 31386389158400 32641844724736 33151873548560 34221288824320 35961354357760 40802305905920 41439841935700 42776611030400 44156501708800 44951692947200 50218222653440 51002882382400 52648136652800 53042997677696 54754062118912 55325160550400 57891402649600 62772778316800 65283689449472 66303747097120 68442577648640 71922708715520 81604611811840 82879683871400 85553222060800 89903385894400 102005764764800 105296273305600 106085995355392 125545556633600 130567378898944 132607494194240 136885155297280 143845417431040 163209223623680 165759367742800 171106444121600 179806771788800 204011529529600 212171990710784 251091113267200 265214988388480 273770310594560 326418447247360 331518735485600 342212888243200 359613543577600 408023059059200 424343981421568 530429976776960 652836894494720 663037470971200 684425776486400 719227087155200 816046118118400 848687962843136 1060859953553920 1326074941942400 1368851552972800 1632092236236800 1697375925686272 2121719907107840 2652149883884800 3264184472473600 4243439814215680 5304299767769600 8486879628431360 10608599535539200 21217199071078400 42434398142156800
- Sum of all divisors σ(n): 119928097620599706
- Sum of proper divisors (its aliquot sum) s(n): 77493699478442906
- 42434398142156800 is an abundant number, because the sum of its proper divisors (77493699478442906) is greater than itself. Its abundance is 35059301336286106
Bases of 42434398142156800
- Binary: 100101101100000111011100001110111000010101010000000000002
- Hexadecimal: 0x96C1DC3B855000
- Base-36: BLTQLDY5BLS
Squares and roots of 42434398142156800
- 42434398142156800 squared (424343981421568002) is 1800678145687080479421355786240000
- 42434398142156800 cubed (424343981421568003) is 76410693359966199542605783429916873753362432000000
-
The
square root of 42434398142156800 is 205996111.9588347959 -
The
cube root of 42434398142156800 is 348796.9529114053
Scales and comparisons
How big is 42434398142156800?- 42,434,398,142,156,800 seconds is equal to 1,349,282,602 years, 36 weeks, 6 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 42,434,398,142,156,800 would take you about four billion, forty-seven million, eight hundred forty-seven thousand, eight hundred eight 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 42434398142156800 cubic inches would be around 29066.4 feet tall.
Recreational maths with 42434398142156800
- 42434398142156800 backwards is 00865124189343424
- 42434398142156800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42434398142156800's digits is 64
- More coming soon!
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"Number 42434398142156800 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 42434398142156800 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/42434398142156800/
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The information we have on file for 42434398142156800 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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