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314232144140 = 225531453204023
BaseRepresentation
bin1001001001010011011…
…00100000000100001100
31010001002101012212012202
410210221230200010030
520122021412103030
6400204541221032
731462652104055
oct4445154400414
91101071185182
10314232144140
111112a09428a2
1250a97861778
132382a56a985
14112cd3a772c
158291d9a745
hex4929b2010c

314232144140 has 48 divisors (see below), whose sum is σ = 672804232128. Its totient is φ = 123235816704.

The previous prime is 314232144091. The next prime is 314232144223. The reversal of 314232144140 is 41441232413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1438169 + ... + 1642191.

It is an arithmetic number, because the mean of its divisors is an integer number (14016754836).

Almost surely, 2314232144140 is an apocalyptic number.

It is an amenable number.

314232144140 is an abundant number, since it is smaller than the sum of its proper divisors (358572087988).

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

314232144140 is a wasteful number, since it uses less digits than its factorization.

314232144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205538 (or 205536 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 314232144140 its reverse (41441232413), we get a palindrome (355673376553).

The spelling of 314232144140 in words is "three hundred fourteen billion, two hundred thirty-two million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1453 2906 5812 7265 14530 29060 77009 154018 204023 308036 385045 408046 770090 816092 1020115 1540180 2040230 4080460 10813219 21626438 43252876 54066095 108132190 216264380 296445419 592890838 1185781676 1482227095 2964454190 5928908380 15711607207 31423214414 62846428828 78558036035 157116072070 314232144140