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313056342656 = 27471131393313
BaseRepresentation
bin1001000111000111001…
…11001011001010000000
31002221001102201221210122
410203203213023022000
520112114410431111
6355452135515412
731421554002311
oct4434347131200
91087042657718
10313056342656
11110848164832
1250809b28b68
13236a0a99955
141121b176608
158223a3ecdb
hex48e39cb280

313056342656 has 128 divisors (see below), whose sum is σ = 647391225600. Its totient is φ = 150704160768.

The previous prime is 313056342653. The next prime is 313056342689. The reversal of 313056342656 is 656243650313.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (313056342653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94491656 + ... + 94494968.

It is an arithmetic number, because the mean of its divisors is an integer number (5057743950).

Almost surely, 2313056342656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313056342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323695612800).

313056342656 is an abundant number, since it is smaller than the sum of its proper divisors (334334882944).

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

313056342656 is a wasteful number, since it uses less digits than its factorization.

313056342656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 44.

Adding to 313056342656 its reverse (656243650313), we get a palindrome (969299992969).

The spelling of 313056342656 in words is "three hundred thirteen billion, fifty-six million, three hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 47 64 94 113 128 139 188 226 278 376 452 556 752 904 1112 1504 1808 2224 3008 3313 3616 4448 5311 6016 6533 6626 7232 8896 10622 13066 13252 14464 15707 17792 21244 26132 26504 31414 42488 52264 53008 62828 84976 104528 106016 125656 155711 169952 209056 212032 251312 311422 339904 374369 418112 424064 460507 502624 622844 679808 738229 748738 836224 921014 1005248 1245688 1476458 1497476 1842028 2010496 2491376 2952916 2994952 3684056 4982752 5905832 5989904 7368112 9965504 11811664 11979808 14736224 17595343 19931008 21643829 23623328 23959616 29472448 35190686 43287658 47246656 47919232 52037291 58944896 70381372 86575316 94493312 104074582 140762744 173150632 208149164 281525488 346301264 416298328 563050976 692602528 832596656 1126101952 1385205056 1665193312 2252203904 2445752677 2770410112 3330386624 4891505354 6660773248 9783010708 19566021416 39132042832 78264085664 156528171328 313056342656