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1314129054 = 23731288787
BaseRepresentation
bin100111001010100…
…0000010010011110
310101120202200011110
41032111000102132
510142404112204
6334222202450
744364625020
oct11625002236
93346680143
101314129054
11614878677
12308123426
1317c344074
14c675c010
157a581889
hex4e54049e

1314129054 has 16 divisors (see below), whose sum is σ = 3003723648. Its totient is φ = 375465432.

The previous prime is 1314129049. The next prime is 1314129059. The reversal of 1314129054 is 4509214131.

It is an interprime number because it is at equal distance from previous prime (1314129049) and next prime (1314129059).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314129059) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15644352 + ... + 15644435.

It is an arithmetic number, because the mean of its divisors is an integer number (187732728).

Almost surely, 21314129054 is an apocalyptic number.

1314129054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1314129054 is an abundant number, since it is smaller than the sum of its proper divisors (1689594594).

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

1314129054 is a wasteful number, since it uses less digits than its factorization.

1314129054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31288799.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1314129054 is about 36250.9179745838. The cubic root of 1314129054 is about 1095.3325801133.

It can be divided in two parts, 13141 and 29054, that added together give a triangular number (42195 = T290).

The spelling of 1314129054 in words is "one billion, three hundred fourteen million, one hundred twenty-nine thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 31288787 62577574 93866361 187732722 219021509 438043018 657064527 1314129054