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3431145360126 = 2311674571697869
BaseRepresentation
bin110001111011100000001…
…100110100101011111110
3110011000101102022212112110
4301323200030310223332
5422203441203011001
611144125120514450
7502614660231231
oct61734014645376
913130342285473
103431145360126
111103160119120
12474b8b77ba26
131bb72b906503
14bc0d568d418
155e3ba5ac3d6
hex31ee0334afe

3431145360126 has 64 divisors (see below), whose sum is σ = 7614498712320. Its totient is φ = 1021980706560.

The previous prime is 3431145360053. The next prime is 3431145360131. The reversal of 3431145360126 is 6210635411343.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1171920 + ... + 2869788.

It is an arithmetic number, because the mean of its divisors is an integer number (118976542380).

Almost surely, 23431145360126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431145360126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807249356160).

3431145360126 is an abundant number, since it is smaller than the sum of its proper divisors (4183353352194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3431145360126 is a wasteful number, since it uses less digits than its factorization.

3431145360126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698409.

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 3431145360126 in words is "three trillion, four hundred thirty-one billion, one hundred forty-five million, three hundred sixty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 457 737 914 1371 1474 2211 2742 4422 5027 10054 15081 30162 30619 61238 91857 183714 336809 673618 1010427 1697869 2020854 3395738 5093607 10187214 18676559 37353118 56029677 112059354 113757223 227514446 341271669 682543338 775926133 1251329453 1551852266 2327778399 2502658906 3753988359 4655556798 7507976718 8535187463 17070374926 25605562389 51211124778 51987050911 103974101822 155961152733 311922305466 571857560021 1143715120042 1715572680063 3431145360126