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34364436145 = 5132931804381
BaseRepresentation
bin100000000000010001…
…111010111010110001
310021200220202020020021
4200000101322322301
51030334243424040
623441541043441
72324403613324
oct400021727261
9107626666207
1034364436145
1113634912556
1267b06b6581
1333186557b0
14193dd467bb
15d61d8a24a
hex80047aeb1

34364436145 has 16 divisors (see below), whose sum is σ = 44561017872. Its totient is φ = 25290190080.

The previous prime is 34364436131. The next prime is 34364436167. The reversal of 34364436145 is 54163446343.

It can be written as a sum of positive squares in 8 ways, for example, as 1054171024 + 33310265121 = 32468^2 + 182511^2 .

It is not a de Polignac number, because 34364436145 - 213 = 34364427953 is a prime.

It is a super-2 number, since 2×343644361452 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883146 + ... + 921235.

It is an arithmetic number, because the mean of its divisors is an integer number (2785063617).

Almost surely, 234364436145 is an apocalyptic number.

It is an amenable number.

34364436145 is a deficient number, since it is larger than the sum of its proper divisors (10196581727).

34364436145 is a wasteful number, since it uses less digits than its factorization.

34364436145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804692.

The product of its digits is 1244160, while the sum is 43.

The spelling of 34364436145 in words is "thirty-four billion, three hundred sixty-four million, four hundred thirty-six thousand, one hundred forty-five".

Divisors: 1 5 13 65 293 1465 3809 19045 1804381 9021905 23456953 117284765 528683633 2643418165 6872887229 34364436145