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8064231444 = 2232224006429
BaseRepresentation
bin1111000001010101…
…00110100000010100
3202211000021101212200
413200222212200110
5113003420401234
63412112244500
7403560556563
oct74052464024
922730241780
108064231444
113469059495
121690840730
139b69420a9
14567027bda
15322e86d99
hex1e0aa6814

8064231444 has 18 divisors (see below), whose sum is σ = 20384585130. Its totient is φ = 2688077136.

The previous prime is 8064231397. The next prime is 8064231449. The reversal of 8064231444 is 4441324608.

8064231444 is a `hidden beast` number, since 8 + 0 + 642 + 3 + 1 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6012141444 + 2052090000 = 77538^2 + 45300^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 224006429 = 8064231444 / (8 + 0 + 6 + 4 + 2 + 3 + 1 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 8064231399 and 8064231408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8064231449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112003179 + ... + 112003250.

Almost surely, 28064231444 is an apocalyptic number.

It is an amenable number.

8064231444 is an abundant number, since it is smaller than the sum of its proper divisors (12320353686).

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

8064231444 is a wasteful number, since it uses less digits than its factorization.

8064231444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224006439 (or 224006434 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 8064231444 is about 89801.0659402214. The cubic root of 8064231444 is about 2005.3383586192.

The spelling of 8064231444 in words is "eight billion, sixty-four million, two hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 224006429 448012858 672019287 896025716 1344038574 2016057861 2688077148 4032115722 8064231444