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44424462642 = 23731123727583
BaseRepresentation
bin101001010111111001…
…111000000100110010
311020200000110112020020
4221113321320010302
51211440130301032
632224110224310
73131610462540
oct512771700462
9136600415206
1044424462642
11179274a633a
1287397b5096
13425c8cbcb1
142216052d90
151250153b2c
hexa57e78132

44424462642 has 64 divisors (see below), whose sum is σ = 104905703424. Its totient is φ = 12272886720.

The previous prime is 44424462637. The next prime is 44424462653. The reversal of 44424462642 is 24626442444.

44424462642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 44424462594 and 44424462603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1596783 + ... + 1624365.

It is an arithmetic number, because the mean of its divisors is an integer number (1639151616).

Almost surely, 244424462642 is an apocalyptic number.

44424462642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44424462642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52452851712).

44424462642 is an abundant number, since it is smaller than the sum of its proper divisors (60481240782).

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

44424462642 is a wasteful number, since it uses less digits than its factorization.

44424462642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28863.

The product of its digits is 1179648, while the sum is 42.

The spelling of 44424462642 in words is "forty-four billion, four hundred twenty-four million, four hundred sixty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1237 1302 2474 3711 7422 8659 17318 25977 27583 38347 51954 55166 76694 82749 115041 165498 193081 230082 268429 386162 536858 579243 805287 855073 1158486 1610574 1710146 2565219 5130438 5985511 11971022 17956533 34120171 35913066 68240342 102360513 204721026 238841197 477682394 716523591 1057725301 1433047182 2115450602 3173175903 6346351806 7404077107 14808154214 22212231321 44424462642