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34144754355 = 325758772319
BaseRepresentation
bin11111110011001011…
…111001101010110011
310021010121101020110200
4133303023321222303
51024412024114410
623404052330243
72316065423535
oct376313715263
9107117336420
1034144754355
1113531907358
12674b013983
1332b1c99b7a
14191cabd855
15d4c9443c0
hex7f32f9ab3

34144754355 has 12 divisors (see below), whose sum is σ = 59184240960. Its totient is φ = 18210535632.

The previous prime is 34144754339. The next prime is 34144754381. The reversal of 34144754355 is 55345744143.

34144754355 is a `hidden beast` number, since 3 + 4 + 14 + 47 + 543 + 55 = 666.

It is not a de Polignac number, because 34144754355 - 24 = 34144754339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 758772319 = 34144754355 / (3 + 4 + 1 + 4 + 4 + 7 + 5 + 4 + 3 + 5 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 34144754355.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379386115 + ... + 379386204.

It is an arithmetic number, because the mean of its divisors is an integer number (4932020080).

Almost surely, 234144754355 is an apocalyptic number.

34144754355 is a deficient number, since it is larger than the sum of its proper divisors (25039486605).

34144754355 is a wasteful number, since it uses less digits than its factorization.

34144754355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758772330 (or 758772327 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 45.

The spelling of 34144754355 in words is "thirty-four billion, one hundred forty-four million, seven hundred fifty-four thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 45 758772319 2276316957 3793861595 6828950871 11381584785 34144754355