Search a number
-
+
244701361257372 = 22329654837040269
BaseRepresentation
bin110111101000110111111001…
…101101101011101110011100
31012002102012222121012012121200
4313220313321231223232130
5224033141341440213442
62224234130425355500
7102354042563613405
oct6750677155535634
91162365877165550
10244701361257372
1170a732a0095478
122354091a938b90
13a670315b24326
14445d87544c9ac
151d4539d5ae34c
hexde8df9b6bb9c

244701361257372 has 36 divisors (see below), whose sum is σ = 618551391701880. Its totient is φ = 81567024350112.

The previous prime is 244701361257329. The next prime is 244701361257377. The reversal of 244701361257372 is 273752163107442.

244701361257372 is a `hidden beast` number, since 2 + 4 + 4 + 7 + 0 + 1 + 3 + 61 + 2 + 573 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244701361257377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31237254 + ... + 38277522.

It is an arithmetic number, because the mean of its divisors is an integer number (17181983102830).

Almost surely, 2244701361257372 is an apocalyptic number.

It is an amenable number.

244701361257372 is an abundant number, since it is smaller than the sum of its proper divisors (373850030444508).

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

244701361257372 is a wasteful number, since it uses less digits than its factorization.

244701361257372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8005762 (or 8005757 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 244701361257372 in words is "two hundred forty-four trillion, seven hundred one billion, three hundred sixty-one million, two hundred fifty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 965483 1930966 2896449 3861932 5792898 7040269 8689347 11585796 14080538 17378694 21120807 28161076 34757388 42241614 63362421 84483228 126724842 253449684 6797260034927 13594520069854 20391780104781 27189040139708 40783560209562 61175340314343 81567120419124 122350680628686 244701361257372