442164919872
442,164,919,872 is an even composite number composed of six prime numbers multiplied together.
442164919872 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 442164919872:
26 × 3 × 13 × 19 × 31 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 19 × 31 × 67 × 67 × 67)See below for interesting mathematical facts about the number 442164919872 from the Numbermatics database.
Names of 442164919872
- Cardinal: 442164919872 can be written as Four hundred forty-two billion, one hundred sixty-four million, nine hundred nineteen thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 4.42164919872 × 1011
Factors of 442164919872
Divisors of 442164919872
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 31 32 38 39 48 52 57 62 64 67 76 78 93 96 104 114 124 134 152 156 186 192 201 208 228 247 248 268 304 312 372 402 403 416 456 494 496 536 589 608 624 741 744 804 806 832 871 912 988 992 1072 1178 1209 1216 1248 1273 1482 1488 1608 1612 1742 1767 1824 1976 1984 2077 2144 2356 2418 2496 2546 2613 2964 2976 3216 3224 3484 3534 3648 3819 3952 4154 4288 4489 4712 4836 5092 5226 5928 5952 6231 6432 6448 6968 7068 7638 7657 7904 8308 8978 9424 9672 10184 10452 11856 12462 12864 12896 13467 13936 14136 15276 15314 15808 16549 16616 17956 18848 19344 20368 20904 22971 23712 24924 25792 26934 27001 27872 28272 30552 30628 33098 33232 35912 37696 38688 39463 40736 41808 45942 47424 49647 49848 53868 54002 55744 56544 58357 61104 61256 66196 66464 71824 77376 78926 81003 81472 83616 85291 91884 99294 99696 107736 108004 113088 116714 118389 122208 122512 132392 132928 139159 143648 157852 162006 167232 170582 175071 183768 198588 199392 215472 216008 233428 236778 244416 245024 255873 264784 278318 287296 300763 315704 324012 341164 350142 367536 397176 398784 417477 430944 432016 466856 473556 490048 511746 513019 529568 556636 601526 631408 648024 682328 700284 735072 794352 834954 861888 864032 902289 933712 947112 1023492 1026038 1059136 1108783 1113272 1203052 1262816 1296048 1364656 1400568 1470144 1539057 1588704 1669908 1728064 1804578 1809067 1867424 1894224 2046984 2052076 2217566 2226544 2406104 2525632 2592096 2644021 2729312 2801136 3078114 3177408 3326349 3339816 3609156 3618134 3734848 3788448 3909919 4093968 4104152 4435132 4453088 4812208 5184192 5288042 5427201 5458624 5602272 5714497 6156228 6652698 6679632 7218312 7236268 7576896 7819838 7932063 8187936 8208304 8870264 8906176 9323653 9624416 10576084 10854402 11204544 11428994 11729757 12312456 13305396 13359264 14436624 14472536 15639676 15864126 16375872 16416608 17143491 17740528 18647306 19248832 21152168 21708804 22857988 23459514 24624912 26610792 26718528 27970959 28873248 28945072 31279352 31728252 32833216 34286982 34372273 35481056 37294612 42304336 43417608 45715976 46919028 49249824 53221584 55941918 57746496 57890144 62558704 63456504 68573964 68744546 70962112 74288461 74589224 84608672 86835216 91431952 93838056 98499648 103116819 106443168 111883836 115780288 121207489 125117408 126913008 137147928 137489092 148576922 149178448 169217344 173670432 177149407 182863904 187676112 206233638 212886336 222865383 223767672 242414978 250234816 253826016 274295856 274978184 297153844 298356896 347340864 354298814 363622467 365727808 375352224 412467276 445730766 447535344 484829956 507652032 531448221 548591712 549956368 594307688 596713792 708597628 727244934 750704448 824934552 891461532 895070688 969659912 1062896442 1097183424 1099912736 1188615376 1417195256 1454489868 1649869104 1782923064 1790141376 1939319824 2125792884 2199825472 2302942291 2377230752 2834390512 2908979736 3299738208 3565846128 3878639648 4251585768 4605884582 4754461504 5668781024 5817959472 6599476416 6908826873 7131692256 7757279296 8503171536 9211769164 11337562048 11635918944 13817653746 14263384512 17006343072 18423538328 23271837888 27635307492 34012686144 36847076656 55270614984 73694153312 110541229968 147388306624 221082459936 442164919872
- Sum of all divisors σ(n): 1389718937600
- Sum of proper divisors (its aliquot sum) s(n): 947554017728
- 442164919872 is an abundant number, because the sum of its proper divisors (947554017728) is greater than itself. Its abundance is 505389097856
Bases of 442164919872
- Binary: 1100110111100110001010100111110010000002
- Hexadecimal: 0x66F3153E40
- Base-36: 5N4LKRPC
Squares and roots of 442164919872
- 442164919872 squared (4421649198722) is 195509816365412180496384
- 442164919872 cubed (4421649198723) is 86447582287401911061436432545742848
-
The
square root of 442164919872 is 664954.8254370369 -
The
cube root of 442164919872 is 7618.3588929369
Scales and comparisons
How big is 442164919872?- 442,164,919,872 seconds is equal to 14,059 years, 24 weeks, 5 days, 12 hours, 51 minutes, 12 seconds.
-
To count from 1 to 442,164,919,872 would take you about twenty-eight thousand, one hundred eighteen 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 442164919872 cubic inches would be around 634.9 feet tall.
Recreational maths with 442164919872
- 442164919872 backwards is 278919461244
- 442164919872 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 442164919872's digits is 57
- More coming soon!
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