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44302706448 = 243711132193733
BaseRepresentation
bin101001010000101001…
…011010011100010000
311020100112100200010120
4221100221122130100
51211212443101243
632204040430240
73125601535320
oct512051323420
9136315320116
1044302706448
11178747a5090
128704a78380
13424060b900
142203bdb280
151244602c83
hexa50a5a710

44302706448 has 480 divisors, whose sum is σ = 162685301760. Its totient is φ = 10060277760.

The previous prime is 44302706423. The next prime is 44302706527. The reversal of 44302706448 is 84460720344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11865990 + ... + 11869722.

It is an arithmetic number, because the mean of its divisors is an integer number (338927712).

Almost surely, 244302706448 is an apocalyptic number.

44302706448 is a gapful number since it is divisible by the number (48) 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 44302706448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81342650880).

44302706448 is an abundant number, since it is smaller than the sum of its proper divisors (118382595312).

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

44302706448 is a wasteful number, since it uses less digits than its factorization.

44302706448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 44302706448 in words is "forty-four billion, three hundred two million, seven hundred six thousand, four hundred forty-eight".