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434112400395 = 3259646942231
BaseRepresentation
bin1100101000100110001…
…11011000110000001011
31112111112001001212011200
412110103013120300023
524103030233303040
6531232315155243
743235465343252
oct6242307306013
91474461055150
10434112400395
11158119150743
1270173445b23
1331c239ba94b
141702285d799
15b45b59b630
hex65131d8c0b

434112400395 has 12 divisors (see below), whose sum is σ = 752461494096. Its totient is φ = 231526613520.

The previous prime is 434112400361. The next prime is 434112400411. The reversal of 434112400395 is 593004211434.

It is a de Polignac number, because none of the positive numbers 2k-434112400395 is a prime.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4823471071 + ... + 4823471160.

It is an arithmetic number, because the mean of its divisors is an integer number (62705124508).

Almost surely, 2434112400395 is an apocalyptic number.

434112400395 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

434112400395 is a deficient number, since it is larger than the sum of its proper divisors (318349093701).

434112400395 is a wasteful number, since it uses less digits than its factorization.

434112400395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9646942242 (or 9646942239 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 434112400395 in words is "four hundred thirty-four billion, one hundred twelve million, four hundred thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 45 9646942231 28940826693 48234711155 86822480079 144704133465 434112400395