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44813421540 = 223251714644909
BaseRepresentation
bin101001101111000101…
…101000101111100100
311021200010100200112100
4221233011220233210
51213234213442130
632330443052100
73144342540516
oct515705505744
9137603320470
1044813421540
111800700a978
128827b11030
1342c2375ba4
142251981bb6
151274385c60
hexa6f168be4

44813421540 has 72 divisors (see below), whose sum is σ = 143930175480. Its totient is φ = 11247289344.

The previous prime is 44813421539. The next prime is 44813421577. The reversal of 44813421540 is 4512431844.

44813421540 is a `hidden beast` number, since 4 + 4 + 81 + 34 + 2 + 1 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2222368164 + 42591053376 = 47142^2 + 206376^2 .

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 = 44813421495 and 44813421504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7319395 + ... + 7325514.

It is an arithmetic number, because the mean of its divisors is an integer number (1999030215).

Almost surely, 244813421540 is an apocalyptic number.

It is an amenable number.

44813421540 is an abundant number, since it is smaller than the sum of its proper divisors (99116753940).

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

44813421540 is a wasteful number, since it uses less digits than its factorization.

44813421540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14644941 (or 14644936 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 44813421540 in words is "forty-four billion, eight hundred thirteen million, four hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 14644909 29289818 43934727 58579636 73224545 87869454 131804181 146449090 175738908 219673635 248963453 263608362 292898180 439347270 497926906 527216724 659020905 746890359 878694540 995853812 1244817265 1318041810 1493780718 2240671077 2489634530 2636083620 2987561436 3734451795 4481342154 4979269060 7468903590 8962684308 11203355385 14937807180 22406710770 44813421540