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34244634145 = 5611117100517
BaseRepresentation
bin11111111001001000…
…111010011000100001
310021101120022122210011
4133321020322120201
51030113111243040
623422021204521
72321420405341
oct377110723041
9107346278704
1034244634145
1113583226537
126778560741
1332c989aa37
14192c07cd21
15d565c33ea
hex7f923a621

34244634145 has 16 divisors (see below), whose sum is σ = 41805034128. Its totient is φ = 26922205440.

The previous prime is 34244634143. The next prime is 34244634157. The reversal of 34244634145 is 54143644243.

It can be written as a sum of positive squares in 8 ways, for example, as 23437160464 + 10807473681 = 153092^2 + 103959^2 .

It is not a de Polignac number, because 34244634145 - 21 = 34244634143 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34244634098 and 34244634107.

It is not an unprimeable number, because it can be changed into a prime (34244634143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290427 + ... + 390943.

It is an arithmetic number, because the mean of its divisors is an integer number (2612814633).

Almost surely, 234244634145 is an apocalyptic number.

It is an amenable number.

34244634145 is a deficient number, since it is larger than the sum of its proper divisors (7560399983).

34244634145 is a wasteful number, since it uses less digits than its factorization.

34244634145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101700.

The product of its digits is 552960, while the sum is 40.

The spelling of 34244634145 in words is "thirty-four billion, two hundred forty-four million, six hundred thirty-four thousand, one hundred forty-five".

Divisors: 1 5 61 305 1117 5585 68137 100517 340685 502585 6131537 30657685 112277489 561387445 6848926829 34244634145