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44331100113344 = 261162970312661
BaseRepresentation
bin10100001010001101000110…
…11110011000100111000000
312210222000022120220012011112
422011012203132120213000
521302310043112111334
6234141232022502452
712223546662425552
oct1205064336304700
9183860276805145
1044331100113344
1113141794339450
124b7b7b7894a28
131b97535477315
14ad38cb1334d2
1551d2488694ce
hex2851a37989c0

44331100113344 has 28 divisors (see below), whose sum is σ = 95966756496888. Its totient is φ = 20150500051200.

The previous prime is 44331100113323. The next prime is 44331100113353.

44331100113344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 44331100113344.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 31485155627 + ... + 31485157034.

Almost surely, 244331100113344 is an apocalyptic number.

44331100113344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44331100113344 is an abundant number, since it is smaller than the sum of its proper divisors (51635656383544).

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

44331100113344 is a wasteful number, since it uses less digits than its factorization.

44331100113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62970312684 (or 62970312674 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 44331100 and 113344, that added together give a palindrome (44444444).

The spelling of 44331100113344 in words is "forty-four trillion, three hundred thirty-one billion, one hundred million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 62970312661 125940625322 251881250644 503762501288 692673439271 1007525002576 1385346878542 2015050005152 2770693757084 4030100010304 5541387514168 11082775028336 22165550056672 44331100113344