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314432401344 = 26315217107621
BaseRepresentation
bin1001001001101011010…
…00011010111111000000
31010001121100000222110020
410210311220122333000
520122424143320334
6400240453333440
731500633212235
oct4446550327700
91101540028406
10314432401344
11111393991016
1250b32937280
132385cbb5069
141130bc1578c
1582a4755e49
hex4935a1afc0

314432401344 has 56 divisors (see below), whose sum is σ = 831998130768. Its totient is φ = 104802938880.

The previous prime is 314432401343. The next prime is 314432401357. The reversal of 314432401344 is 443104234413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314432401343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2867854 + ... + 2975474.

It is an arithmetic number, because the mean of its divisors is an integer number (14857109478).

Almost surely, 2314432401344 is an apocalyptic number.

It is an amenable number.

314432401344 is an abundant number, since it is smaller than the sum of its proper divisors (517565729424).

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

314432401344 is a wasteful number, since it uses less digits than its factorization.

314432401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122853 (or 122843 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 314432401344 its reverse (443104234413), we get a palindrome (757536635757).

The spelling of 314432401344 in words is "three hundred fourteen billion, four hundred thirty-two million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 15217 30434 45651 60868 91302 107621 121736 182604 215242 243472 322863 365208 430484 486944 645726 730416 860968 973888 1291452 1460832 1721936 2582904 2921664 3443872 5165808 6887744 10331616 20663232 1637668757 3275337514 4913006271 6550675028 9826012542 13101350056 19652025084 26202700112 39304050168 52405400224 78608100336 104810800448 157216200672 314432401344