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44246970240 = 2735112732609
BaseRepresentation
bin101001001101010100…
…110010111110000000
311020012122110222102120
4221031110302332000
51211104211021430
632154330044240
73124324020144
oct511524627600
9136178428376
1044246970240
1117846296700
1286aa279680
134231bc55c5
1421da64d224
15123e793610
hexa4d532f80

44246970240 has 384 divisors, whose sum is σ = 157208234400. Its totient is φ = 10575544320.

The previous prime is 44246970227. The next prime is 44246970283. The reversal of 44246970240 is 4207964244.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 44246970192 and 44246970201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16958056 + ... + 16960664.

Almost surely, 244246970240 is an apocalyptic number.

44246970240 is a gapful number since it is divisible by the number (40) 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 44246970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78604117200).

44246970240 is an abundant number, since it is smaller than the sum of its proper divisors (112961264160).

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

44246970240 is a wasteful number, since it uses less digits than its factorization.

44246970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 44246970240 in words is "forty-four billion, two hundred forty-six million, nine hundred seventy thousand, two hundred forty".