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314435050656 = 25326331243967
BaseRepresentation
bin1001001001101011100…
…10100001110010100000
31010001121112000120121220
410210311302201302200
520122430333110111
6400241030215040
731500664555206
oct4446562416240
91101545016556
10314435050656
11111395430531
1250b337b4480
1323860601bbc
141130c305076
1582a4acae06
hex4935ca1ca0

314435050656 has 48 divisors (see below), whose sum is σ = 825706151424. Its totient is φ = 104771792384.

The previous prime is 314435050649. The next prime is 314435050661. The reversal of 314435050656 is 656050534413.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369216 + ... + 874751.

It is an arithmetic number, because the mean of its divisors is an integer number (17202211488).

Almost surely, 2314435050656 is an apocalyptic number.

It is an amenable number.

314435050656 is an abundant number, since it is smaller than the sum of its proper divisors (511271100768).

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

314435050656 is a wasteful number, since it uses less digits than its factorization.

314435050656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246613 (or 1246605 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 314435050656 in words is "three hundred fourteen billion, four hundred thirty-five million, fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2633 5266 7899 10532 15798 21064 31596 42128 63192 84256 126384 252768 1243967 2487934 3731901 4975868 7463802 9951736 14927604 19903472 29855208 39806944 59710416 119420832 3275365111 6550730222 9826095333 13101460444 19652190666 26202920888 39304381332 52405841776 78608762664 104811683552 157217525328 314435050656