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44401324464 = 24327233375683
BaseRepresentation
bin101001010110100001…
…100111000110110000
311020121101220222121200
4221112201213012300
51211413214340324
632221522251200
73131210013360
oct512641470660
9136541828550
1044401324464
1117915432282
128731ab6b00
134257b8a373
142212d4c9a0
15124d0d2ec9
hexa568671b0

44401324464 has 240 divisors, whose sum is σ = 148654152192. Its totient is φ = 12096387072.

The previous prime is 44401324423. The next prime is 44401324469. The reversal of 44401324464 is 46442310444.

44401324464 is a `hidden beast` number, since 4 + 4 + 401 + 3 + 244 + 6 + 4 = 666.

It is a super-2 number, since 2×444013244642 (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 not an unprimeable number, because it can be changed into a prime (44401324469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7810167 + ... + 7815849.

Almost surely, 244401324464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44401324464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74327076096).

44401324464 is an abundant number, since it is smaller than the sum of its proper divisors (104252827728).

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

44401324464 is a wasteful number, since it uses less digits than its factorization.

44401324464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6055 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 44401324464 in words is "forty-four billion, four hundred one million, three hundred twenty-four thousand, four hundred sixty-four".