Search a number
-
+
44061146820 = 22325244784149
BaseRepresentation
bin101001000010001111…
…111011111011000100
311012201200211011121200
4221002033323323010
51210214123144240
632124051142500
73116606365665
oct510217737304
9135650734550
1044061146820
1117760406829
128657ba4a30
134202562c12
1421bdabb36c
15122d2d9930
hexa423fbec4

44061146820 has 36 divisors (see below), whose sum is σ = 133652145900. Its totient is φ = 11749639104.

The previous prime is 44061146777. The next prime is 44061146837. The reversal of 44061146820 is 2864116044.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18121467456 + 25939679364 = 134616^2 + 161058^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×440611468202 (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 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 11 ways as a sum of consecutive naturals, for example, 122391895 + ... + 122392254.

Almost surely, 244061146820 is an apocalyptic number.

It is an amenable number.

44061146820 is an abundant number, since it is smaller than the sum of its proper divisors (89590999080).

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

44061146820 is a wasteful number, since it uses less digits than its factorization.

44061146820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244784164 (or 244784159 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 44061146820 in words is "forty-four billion, sixty-one million, one hundred forty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 244784149 489568298 734352447 979136596 1223920745 1468704894 2203057341 2447841490 2937409788 3671762235 4406114682 4895682980 7343524470 8812229364 11015286705 14687048940 22030573410 44061146820