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641244144 = 24317097817
BaseRepresentation
bin100110001110001…
…001101111110000
31122200121120121010
4212032021233300
52303124303034
6143344030520
721614325312
oct4616115760
91580546533
10641244144
112a9a69242
1215a902440
13a2b09808
14612417b2
153b4683e9
hex26389bf0

641244144 has 40 divisors (see below), whose sum is σ = 1657728720. Its totient is φ = 213595648.

The previous prime is 641244137. The next prime is 641244161. The reversal of 641244144 is 441442146.

641244144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6412441442 = 822388104428585472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78124 + ... + 85940.

It is an arithmetic number, because the mean of its divisors is an integer number (41443218).

Almost surely, 2641244144 is an apocalyptic number.

It is an amenable number.

641244144 is an abundant number, since it is smaller than the sum of its proper divisors (1016484576).

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

641244144 is a wasteful number, since it uses less digits than its factorization.

641244144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9537 (or 9531 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 641244144 is about 25322.7988974363. The cubic root of 641244144 is about 862.3319368403.

The spelling of 641244144 in words is "six hundred forty-one million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1709 3418 5127 6836 7817 10254 13672 15634 20508 23451 27344 31268 41016 46902 62536 82032 93804 125072 187608 375216 13359253 26718506 40077759 53437012 80155518 106874024 160311036 213748048 320622072 641244144