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44641631412 = 22347197114591
BaseRepresentation
bin101001100100110110…
…010011110010110100
311021020011002211210000
4221210312103302310
51212411224201122
632301425031300
73140155414620
oct514466236264
9137204084700
1044641631412
1117a29045464
12879a485530
1342958b7b21
142236c24180
1512642500ac
hexa64d93cb4

44641631412 has 240 divisors, whose sum is σ = 142380564480. Its totient is φ = 11912443200.

The previous prime is 44641631383. The next prime is 44641631453. The reversal of 44641631412 is 21413614644.

44641631412 is a `hidden beast` number, since 4 + 4 + 6 + 4 + 1 + 631 + 4 + 12 = 666.

44641631412 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 2×446416314122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 3052237 + ... + 3066827.

It is an arithmetic number, because the mean of its divisors is an integer number (593252352).

Almost surely, 244641631412 is an apocalyptic number.

44641631412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44641631412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71190282240).

44641631412 is an abundant number, since it is smaller than the sum of its proper divisors (97738933068).

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

44641631412 is a wasteful number, since it uses less digits than its factorization.

44641631412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14704 (or 14693 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 44641631412 in words is "forty-four billion, six hundred forty-one million, six hundred thirty-one thousand, four hundred twelve".