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44242008048040 = 23511100550018291
BaseRepresentation
bin10100000111100111001010…
…01011001000000110101000
312210122111100121110100022011
422003303211023020012220
521244330113030014130
6234032255314405304
712214244126366125
oct1203634513100650
9183574317410264
1044242008048040
1113107a2617a110
124b66492b90834
131b8c00779920a
14acd478a5974c
1551ac8208552a
hex283ce52c81a8

44242008048040 has 32 divisors (see below), whose sum is σ = 108594019755360. Its totient is φ = 16088002926400.

The previous prime is 44242008048031. The next prime is 44242008048059. The reversal of 44242008048040 is 4084080024244.

It is a super-2 number, since 2×442420080480402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 44242008047984 and 44242008048002.

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 7 ways as a sum of consecutive naturals, for example, 50275008706 + ... + 50275009585.

It is an arithmetic number, because the mean of its divisors is an integer number (3393563117355).

Almost surely, 244242008048040 is an apocalyptic number.

44242008048040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44242008048040 is an abundant number, since it is smaller than the sum of its proper divisors (64352011707320).

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

44242008048040 is a wasteful number, since it uses less digits than its factorization.

44242008048040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100550018313 (or 100550018309 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 44242008048040 in words is "forty-four trillion, two hundred forty-two billion, eight million, forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 100550018291 201100036582 402200073164 502750091455 804400146328 1005500182910 1106050201201 2011000365820 2212100402402 4022000731640 4424200804804 5530251006005 8848401609608 11060502012010 22121004024020 44242008048040