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1317874144 = 25291420123
BaseRepresentation
bin100111010001101…
…0010100111100000
310101211210221110111
41032203102213200
510144333433034
6334434341104
744441513446
oct11643224740
93354727414
101317874144
116169a6394
1230942a794
131800558b2
14c7054b96
157aa71364
hex4e8d29e0

1317874144 has 24 divisors (see below), whose sum is σ = 2684034360. Its totient is φ = 636214656.

The previous prime is 1317874127. The next prime is 1317874163. The reversal of 1317874144 is 4414787131.

It is a super-3 number, since 3×13178741443 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1317874097 and 1317874106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 709134 + ... + 710989.

It is an arithmetic number, because the mean of its divisors is an integer number (111834765).

Almost surely, 21317874144 is an apocalyptic number.

It is an amenable number.

1317874144 is an abundant number, since it is smaller than the sum of its proper divisors (1366160216).

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

1317874144 is a wasteful number, since it uses less digits than its factorization.

1317874144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420162 (or 1420154 counting only the distinct ones).

The product of its digits is 75264, while the sum is 40.

The square root of 1317874144 is about 36302.5363301244. The cubic root of 1317874144 is about 1096.3721097824.

The spelling of 1317874144 in words is "one billion, three hundred seventeen million, eight hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1420123 2840246 5680492 11360984 22721968 41183567 45443936 82367134 164734268 329468536 658937072 1317874144