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314428439745 = 32573132199533
BaseRepresentation
bin1001001001101010110…
…01010011110011000001
31010001121001120201011100
410210311121103303001
520122422140032440
6400240232405013
731500554432340
oct4446531236301
91101531521140
10314428439745
11111391725672
1250b31546769
132385c128b14
141130b4a3b57
1582a4222230
hex4935653cc1

314428439745 has 48 divisors (see below), whose sum is σ = 642960294912. Its totient is φ = 139101978240.

The previous prime is 314428439687. The next prime is 314428439761. The reversal of 314428439745 is 547934824413.

314428439745 is a `hidden beast` number, since 3 + 144 + 28 + 439 + 7 + 45 = 666.

It is not a de Polignac number, because 314428439745 - 215 = 314428406977 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 314428439691 and 314428439700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16090002 + ... + 16109531.

It is an arithmetic number, because the mean of its divisors is an integer number (13395006144).

Almost surely, 2314428439745 is an apocalyptic number.

314428439745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

314428439745 is an abundant number, since it is smaller than the sum of its proper divisors (328531855167).

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

314428439745 is a wasteful number, since it uses less digits than its factorization.

314428439745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32199582 (or 32199579 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 314428439745 in words is "three hundred fourteen billion, four hundred twenty-eight million, four hundred thirty-nine thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 3255 9765 32199533 96598599 160997665 225396731 289795797 482992995 676190193 998185523 1126983655 1448978985 2028570579 2994556569 3380950965 4990927615 6987298661 8983669707 10142852895 14972782845 20961895983 34936493305 44918348535 62885687949 104809479915 314428439745