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114337078137 = 3237343354589
BaseRepresentation
bin110101001111100000…
…1010101101101111001
3101221010100101101002200
41222133001111231321
53333130243000022
6124305320220413
711155244062062
oct1523701255571
9357110341080
10114337078137
1144543333107
121a1ab30a709
13aa21bcc029
1457691dd569
152e92c52bac
hex1a9f055b79

114337078137 has 12 divisors (see below), whose sum is σ = 169617167460. Its totient is φ = 74164591008.

The previous prime is 114337078127. The next prime is 114337078187. The reversal of 114337078137 is 731870733411.

114337078137 is a `hidden beast` number, since 1 + 143 + 370 + 7 + 8 + 137 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69588329616 + 44748748521 = 263796^2 + 211539^2 .

It is not a de Polignac number, because 114337078137 - 214 = 114337061753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114337078092 and 114337078101.

It is not an unprimeable number, because it can be changed into a prime (114337078127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171676962 + ... + 171677627.

It is an arithmetic number, because the mean of its divisors is an integer number (14134763955).

Almost surely, 2114337078137 is an apocalyptic number.

It is an amenable number.

114337078137 is a deficient number, since it is larger than the sum of its proper divisors (55280089323).

114337078137 is a wasteful number, since it uses less digits than its factorization.

114337078137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343354632 (or 343354629 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 114337078137 in words is "one hundred fourteen billion, three hundred thirty-seven million, seventy-eight thousand, one hundred thirty-seven".

Divisors: 1 3 9 37 111 333 343354589 1030063767 3090191301 12704119793 38112359379 114337078137