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44294114304 = 2103311145643
BaseRepresentation
bin101001010000001000…
…101000110000000000
311020022221012010221000
4221100020220300000
51211203243124204
632203132332000
73125435521326
oct512010506000
9136287163830
1044294114304
111786a966740
128702014000
13423b8c0abb
142202a01d16
1512439a7039
hexa50228c00

44294114304 has 176 divisors, whose sum is σ = 143103968640. Its totient is φ = 13422366720.

The previous prime is 44294114299. The next prime is 44294114341. The reversal of 44294114304 is 40341149244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231307 + ... + 376949.

Almost surely, 244294114304 is an apocalyptic number.

44294114304 is a gapful number since it is divisible by the number (44) 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 44294114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71551984320).

44294114304 is an abundant number, since it is smaller than the sum of its proper divisors (98809854336).

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

44294114304 is a wasteful number, since it uses less digits than its factorization.

44294114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145683 (or 145659 counting only the distinct ones).

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

The spelling of 44294114304 in words is "forty-four billion, two hundred ninety-four million, one hundred fourteen thousand, three hundred four".