Search a number
-
+
44061600416 = 2517112971741
BaseRepresentation
bin101001000010010001…
…101010101010100000
311012201201200012211112
4221002101222222200
51210214232203131
632124105002452
73116613265301
oct510221525240
9135651605745
1044061600416
11177606965a9
128658183428
134202691512
1421bdb987a8
15122d37902b
hexa4246aaa0

44061600416 has 48 divisors (see below), whose sum is σ = 91931633640. Its totient is φ = 20716216320.

The previous prime is 44061600389. The next prime is 44061600439. The reversal of 44061600416 is 61400616044.

It can be written as a sum of positive squares in 4 ways, for example, as 36733555600 + 7328044816 = 191660^2 + 85604^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578306 + ... + 650046.

Almost surely, 244061600416 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 44061600416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45965816820).

44061600416 is an abundant number, since it is smaller than the sum of its proper divisors (47870033224).

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

44061600416 is a wasteful number, since it uses less digits than its factorization.

44061600416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72897 (or 72889 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 44061600416 in words is "forty-four billion, sixty-one million, six hundred thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1129 2258 4516 9032 18064 19193 36128 38386 71741 76772 143482 153544 286964 307088 573928 614176 1147856 1219597 2295712 2439194 4878388 9756776 19513552 39027104 80995589 161991178 323982356 647964712 1295929424 1376925013 2591858848 2753850026 5507700052 11015400104 22030800208 44061600416