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314299950048 = 25327295375957
BaseRepresentation
bin1001001001011011011…
…11001010001111100000
31010001021002210202102200
410210231233022033200
520122141241400143
6400215402413200
731464434331660
oct4445557121740
91101232722380
10314299950048
11111326145437
1250ab6501200
132383b61b906
14112d83b81a0
158297ce11d3
hex492dbca3e0

314299950048 has 144 divisors (see below), whose sum is σ = 1056698304480. Its totient is φ = 86703418368.

The previous prime is 314299950047. The next prime is 314299950049. The reversal of 314299950048 is 840059992413.

314299950048 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 9 + 99 + 500 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (314299950047) and next prime (314299950049).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 314299949976 and 314299950003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314299950047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2629515 + ... + 2746442.

It is an arithmetic number, because the mean of its divisors is an integer number (7338182670).

Almost surely, 2314299950048 is an apocalyptic number.

It is an amenable number.

314299950048 is an abundant number, since it is smaller than the sum of its proper divisors (742398354432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314299950048 is a wasteful number, since it uses less digits than its factorization.

314299950048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376009 (or 5375998 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 314299950048 in words is "three hundred fourteen billion, two hundred ninety-nine million, nine hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 14616 19488 29232 58464 5375957 10751914 16127871 21503828 32255742 37631699 43007656 48383613 64511484 75263398 86015312 96767226 112895097 129022968 150526796 155902753 172030624 193534452 225790194 258045936 301053592 311805506 338685291 387068904 451580388 467708259 516091872 602107184 623611012 677370582 774137808 903160776 935416518 1091319271 1204214368 1247222024 1354741164 1403124777 1548275616 1806321552 1870833036 2182638542 2494444048 2709482328 2806249554 3273957813 3612643104 3741666072 4365277084 4988888096 5418964656 5612499108 6547915626 7483332144 8730554168 9821873439 10837929312 11224998216 13095831252 14966664288 17461108336 19643746878 22449996432 26191662504 34922216672 39287493756 44899992864 52383325008 78574987512 104766650016 157149975024 314299950048