400408319142
400,408,319,142 is an even composite number composed of seven prime numbers multiplied together.
400408319142 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 400408319142:
2 × 34 × 13 × 23 × 89 × 293 × 317
(2 × 3 × 3 × 3 × 3 × 13 × 23 × 89 × 293 × 317)See below for interesting mathematical facts about the number 400408319142 from the Numbermatics database.
Names of 400408319142
- Cardinal: 400408319142 can be written as Four hundred billion, four hundred eight million, three hundred nineteen thousand, one hundred forty-two.
Scientific notation
- Scientific notation: 4.00408319142 × 1011
Factors of 400408319142
Divisors of 400408319142
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 81 89 117 138 162 178 207 234 267 293 299 317 351 414 534 586 598 621 634 702 801 879 897 951 1053 1157 1242 1602 1758 1794 1863 1902 2047 2106 2314 2403 2637 2691 2853 3471 3726 3809 4094 4121 4806 5274 5382 5706 6141 6739 6942 7209 7291 7618 7911 8073 8242 8559 10413 11427 12282 12363 13478 14418 14582 15822 16146 17118 18423 20217 20826 21873 22854 23733 24219 24726 25677 26077 26611 28213 31239 34281 36846 37089 40434 43746 47466 48438 51354 52154 53222 55269 56426 60651 62478 65619 68562 74178 78231 79833 84639 87607 92881 93717 94783 102843 110538 111267 121302 131238 156462 159666 165807 169278 175214 181953 185762 187434 189566 196857 205686 222534 234693 239499 253917 262821 278643 284349 308529 331614 333801 339001 363906 366769 393714 469386 478998 507834 525642 545859 557286 568698 590571 599771 617058 648899 667602 678002 704079 718497 733538 761751 788463 835929 853047 1017003 1091718 1100307 1181142 1199542 1207453 1297798 1408158 1436994 1523502 1576926 1671858 1706094 1799313 1946697 2034006 2112237 2136263 2155491 2200614 2285253 2365389 2414906 2507787 2559141 3051009 3300921 3598626 3622359 3893394 4224474 4272526 4310982 4570506 4730778 5015574 5118282 5397939 5840091 6102018 6408789 6601842 7096167 7244718 7523361 7677423 7797023 8266409 8435687 9153027 9902763 10795878 10867077 11680182 12817578 14192334 15046722 15354846 15594046 16193817 16532818 16871374 17520273 18306054 19226367 19805526 21734154 23391069 24799227 25307061 27459081 27771419 29708289 32387634 32601231 35040546 38452734 46782138 48581451 49598454 50614122 52560819 54918162 55542838 57679101 59416578 65202462 70173207 74397681 75921183 83314257 97162902 97803693 105121638 107463317 115358202 140346414 148795362 151842366 166628514 173037303 190127407 195607386 210519621 214926634 223193043 227763549 249942771 322389951 346074606 380254814 421039242 446386086 455527098 499885542 570382221 631558863 644779902 669579129 683290647 749828313 967169853 1140764442 1263117726 1339158258 1366581294 1499656626 1711146663 1934339706 2249484939 2471656291 2901509559 3422293326 4498969878 4943312582 5133439989 5803019118 7414968873 8704528677 10266879978 14829937746 15400319967 17409057354 22244906619 30800639934 44489813238 66734719857 133469439714 200204159571 400408319142
- Sum of all divisors σ(n): 1026272903040
- Sum of proper divisors (its aliquot sum) s(n): 625864583898
- 400408319142 is an abundant number, because the sum of its proper divisors (625864583898) is greater than itself. Its abundance is 225456264756
Bases of 400408319142
- Binary: 1011101001110100011001000010100101001102
- Hexadecimal: 0x5D3A3214A6
- Base-36: 53Y0RWDI
Squares and roots of 400408319142
- 400408319142 squared (4004083191422) is 160326822038121723616164
- 400408319142 cubed (4004083191423) is 64196193325662881999944113221811288
-
The
square root of 400408319142 is 632778.2543213697 -
The
cube root of 400408319142 is 7370.5692456509
Scales and comparisons
How big is 400408319142?- 400,408,319,142 seconds is equal to 12,731 years, 38 weeks, 5 days, 13 hours, 5 minutes, 42 seconds.
-
To count from 1 to 400,408,319,142 would take you about twenty-five thousand, four hundred sixty-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 400408319142 cubic inches would be around 614.2 feet tall.
Recreational maths with 400408319142
- 400408319142 backwards is 241913804004
- The number of decimal digits it has is: 12
- The sum of 400408319142's digits is 36
- More coming soon!
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