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44345531340 = 2232511231974943
BaseRepresentation
bin101001010011001100…
…110001101111001100
311020110111221101211200
4221103030301233030
51211304424000330
632212210345500
73126631540245
oct512314615714
9136414841750
1044345531340
1117896995060
12871728b290
134249454196
142209787ccc
151248261a60
hexa53331bcc

44345531340 has 288 divisors, whose sum is σ = 153931954176. Its totient is φ = 10228753920.

The previous prime is 44345531311. The next prime is 44345531353. The reversal of 44345531340 is 4313554344.

44345531340 is a `hidden beast` number, since 4 + 43 + 45 + 531 + 3 + 40 = 666.

44345531340 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 2×443455313402 (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 junction number, because it is equal to n+sod(n) for n = 44345531295 and 44345531304.

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, 8968909 + ... + 8973851.

It is an arithmetic number, because the mean of its divisors is an integer number (534485952).

Almost surely, 244345531340 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 44345531340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76965977088).

44345531340 is an abundant number, since it is smaller than the sum of its proper divisors (109586422836).

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

44345531340 is a wasteful number, since it uses less digits than its factorization.

44345531340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 44345531340 in words is "forty-four billion, three hundred forty-five million, five hundred thirty-one thousand, three hundred forty".