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314540466441 = 3199601876653
BaseRepresentation
bin1001001001111000001…
…00101010000100001001
31010001212212101020220020
410210330010222010021
520123134324411231
6400255313451053
731503414564645
oct4447404520411
91101785336806
10314540466441
11111439990a13
1250b62b70a89
13238793c07c6
141131c305c25
1582adea0396
hex493c12a109

314540466441 has 16 divisors (see below), whose sum is σ = 422196566400. Its totient is φ = 208292515200.

The previous prime is 314540466431. The next prime is 314540466481. The reversal of 314540466441 is 144664045413.

It is a happy number.

It is not a de Polignac number, because 314540466441 - 211 = 314540464393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314540466393 and 314540466402.

It is not an unprimeable number, because it can be changed into a prime (314540466431) 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, 79530 + ... + 797123.

It is an arithmetic number, because the mean of its divisors is an integer number (26387285400).

Almost surely, 2314540466441 is an apocalyptic number.

It is an amenable number.

314540466441 is a deficient number, since it is larger than the sum of its proper divisors (107656099959).

314540466441 is a wasteful number, since it uses less digits than its factorization.

314540466441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877456.

The product of its (nonzero) digits is 552960, while the sum is 42.

It can be divided in two parts, 3145404 and 66441, that added together give a triangular number (3211845 = T2534).

The spelling of 314540466441 in words is "three hundred fourteen billion, five hundred forty million, four hundred sixty-six thousand, four hundred forty-one".

Divisors: 1 3 199 597 601 1803 119599 358797 876653 2629959 174453947 523361841 526868453 1580605359 104846822147 314540466441