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314024102140 = 22579643232607
BaseRepresentation
bin1001001000111010100…
…10111000100011111100
31010000112212202020020111
410210131102320203330
520121110132232030
6400132150155404
731454544553450
oct4443522704374
91100485666214
10314024102140
111111a4467861
1250a3a052b64
13237c64290b8
14112ad8d0660
15827d9a362a
hex491d4b88fc

314024102140 has 48 divisors (see below), whose sum is σ = 753739241472. Its totient is φ = 107653778496.

The previous prime is 314024102129. The next prime is 314024102141. The reversal of 314024102140 is 41201420413.

It is a happy number.

It is a super-2 number, since 2×3140241021402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314024102141) 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 15 ways as a sum of consecutive naturals, for example, 1233717 + ... + 1466323.

It is an arithmetic number, because the mean of its divisors is an integer number (15702900864).

Almost surely, 2314024102140 is an apocalyptic number.

It is an amenable number.

314024102140 is an abundant number, since it is smaller than the sum of its proper divisors (439715139332).

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

314024102140 is a wasteful number, since it uses less digits than its factorization.

314024102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242266 (or 242264 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 314024102140 its reverse (41201420413), we get a palindrome (355225522553).

The spelling of 314024102140 in words is "three hundred fourteen billion, twenty-four million, one hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 9643 19286 38572 48215 67501 96430 135002 192860 232607 270004 337505 465214 675010 930428 1163035 1350020 1628249 2326070 3256498 4652140 6512996 8141245 16282490 32564980 2243029301 4486058602 8972117204 11215146505 15701205107 22430293010 31402410214 44860586020 62804820428 78506025535 157012051070 314024102140