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313140204440224 = 25765310971951511
BaseRepresentation
bin100011100110011001010001…
…0101001101000101010100000
31112001201220121020211122010221
41013030302202221220222200
5312020442114314041344
63025554342440332424
7122646430116360430
oct10714624251505240
91461656536748127
10313140204440224
119085a018949317
122b154804a74114
1310595cc1102565
1457480d12a62c0
152630766b4c184
hex11ccca2a68aa0

313140204440224 has 96 divisors (see below), whose sum is σ = 706288038172416. Its totient is φ = 133875209656320.

The previous prime is 313140204440159. The next prime is 313140204440243. The reversal of 313140204440224 is 422044402041313.

It is a self number, because there is not a number n which added to its sum of digits gives 313140204440224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159484629 + ... + 161436139.

It is an arithmetic number, because the mean of its divisors is an integer number (7357167064296).

Almost surely, 2313140204440224 is an apocalyptic number.

It is an amenable number.

313140204440224 is an abundant number, since it is smaller than the sum of its proper divisors (393147833732192).

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

313140204440224 is a wasteful number, since it uses less digits than its factorization.

313140204440224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953278 (or 1953270 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 313140204440224 its reverse (422044402041313), we get a palindrome (735184606481537).

The spelling of 313140204440224 in words is "three hundred thirteen trillion, one hundred forty billion, two hundred four million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 653 1097 1306 2194 2612 4388 4571 5224 7679 8776 9142 10448 15358 17552 18284 20896 30716 35104 36568 61432 73136 122864 146272 245728 716341 1432682 1951511 2865364 3903022 5014387 5730728 7806044 10028774 11461456 13660577 15612088 20057548 22922912 27321154 31224176 40115096 54642308 62448352 80230192 109284616 160460384 218569232 437138464 1274336683 2140807567 2548673366 4281615134 5097346732 8563230268 8920356781 10194693464 14985652969 17126460536 17840713562 20389386928 29971305938 34252921072 35681427124 40778773856 59942611876 68505842144 71362854248 119885223752 142725708496 239770447504 285451416992 479540895008 1397947341251 2795894682502 5591789365004 9785631388757 11183578730008 19571262777514 22367157460016 39142525555028 44734314920032 78285051110056 156570102220112 313140204440224