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214070864644 = 22741367157163
BaseRepresentation
bin1100011101011110011…
…1100010101100000100
3202110112222002200002101
43013113213202230010
512001404120132034
6242202013321444
721315606220000
oct3072747425404
9673488080071
10214070864644
118287247105a
12355a3a96284
13172575102a0
14a50ab63700
15587d904514
hex31d79e2b04

214070864644 has 240 divisors, whose sum is σ = 483669867968. Its totient is φ = 82383485184.

The previous prime is 214070864629. The next prime is 214070864659. The reversal of 214070864644 is 446468070412.

214070864644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214070864629) and next prime (214070864659).

It is a junction number, because it is equal to n+sod(n) for n = 214070864594 and 214070864603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1313318107 + ... + 1313318269.

Almost surely, 2214070864644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214070864644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241834933984).

214070864644 is an abundant number, since it is smaller than the sum of its proper divisors (269599003324).

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

214070864644 is a wasteful number, since it uses less digits than its factorization.

214070864644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 46.

The spelling of 214070864644 in words is "two hundred fourteen billion, seventy million, eight hundred sixty-four thousand, six hundred forty-four".