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118369714401 = 3273215712
BaseRepresentation
bin110111000111101100…
…0101000000011100001
3102022112101111112002100
41232033120220003201
53414410121330101
6130213413441013
711360211654111
oct1561730500341
9368471445070
10118369714401
1146222688454
121ab35940169
13b215509633
145a2ca0b041
15312bcc2e86
hex1b8f6280e1

118369714401 has 27 divisors (see below), whose sum is σ = 173463147507. Its totient is φ = 77782597920.

The previous prime is 118369714369. The next prime is 118369714433. The reversal of 118369714401 is 104417963811.

The square root of 118369714401 is 344049.

It is a perfect power (a square), and thus also a powerful number.

118369714401 is a `hidden beast` number, since 1 + 1 + 83 + 69 + 71 + 440 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (118369714369) and next prime (118369714433).

It can be written as a sum of positive squares in only one way, i.e., 67192416225 + 51177298176 = 259215^2 + 226224^2 .

It is not a de Polignac number, because 118369714401 - 25 = 118369714369 is a prime.

It is a super-2 number, since 2×1183697144012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (118369714201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75345946 + ... + 75347516.

Almost surely, 2118369714401 is an apocalyptic number.

118369714401 is the 344049-th square number.

118369714401 is the 172025-th centered octagonal number.

It is an amenable number.

118369714401 is a deficient number, since it is larger than the sum of its proper divisors (55093433106).

118369714401 is an frugal number, since it uses more digits than its factorization.

118369714401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 118369714401 in words is "one hundred eighteen billion, three hundred sixty-nine million, seven hundred fourteen thousand, four hundred one".

Divisors: 1 3 9 73 219 657 1571 4713 5329 14139 15987 47961 114683 344049 1032147 2468041 7404123 8371859 22212369 25115577 75346731 180166993 540500979 1621502937 13152190489 39456571467 118369714401