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314051379360 = 2535654273707
BaseRepresentation
bin1001001000111101110…
…10111100000010100000
31010000121210002001112220
410210132322330002200
520121134123114420
6400135002551040
731455325452045
oct4443672740240
91100553061486
10314051379360
111112088a8614
1250a47208480
13237cbc89974
14112b33911cc
158281090840
hex491eebc0a0

314051379360 has 48 divisors (see below), whose sum is σ = 989261846496. Its totient is φ = 83747034368.

The previous prime is 314051379359. The next prime is 314051379379. The reversal of 314051379360 is 63973150413.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327136374 + ... + 327137333.

It is an arithmetic number, because the mean of its divisors is an integer number (20609621802).

Almost surely, 2314051379360 is an apocalyptic number.

314051379360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314051379360 is an abundant number, since it is smaller than the sum of its proper divisors (675210467136).

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

314051379360 is a wasteful number, since it uses less digits than its factorization.

314051379360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654273725 (or 654273717 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 314051379360 in words is "three hundred fourteen billion, fifty-one million, three hundred seventy-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 654273707 1308547414 1962821121 2617094828 3271368535 3925642242 5234189656 6542737070 7851284484 9814105605 10468379312 13085474140 15702568968 19628211210 20936758624 26170948280 31405137936 39256422420 52341896560 62810275872 78512844840 104683793120 157025689680 314051379360