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44144314344 = 233213291626301
BaseRepresentation
bin101001000111001101…
…001100011111101000
311012221111022112000100
4221013031030133220
51210401421024334
632140221505400
73121636323624
oct510715143750
9135844275010
1044144314344
11177a3350819
12867ba12260
134216861c80
1421cab6a184
151235766c99
hexa4734c7e8

44144314344 has 96 divisors (see below), whose sum is σ = 133194133800. Its totient is φ = 13114483200.

The previous prime is 44144314327. The next prime is 44144314367. The reversal of 44144314344 is 44341344144.

44144314344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42341292900 + 1803021444 = 205770^2 + 42462^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44144314299 and 44144314308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786007 + ... + 840294.

Almost surely, 244144314344 is an apocalyptic number.

It is an amenable number.

44144314344 is an abundant number, since it is smaller than the sum of its proper divisors (89049819456).

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

44144314344 is a wasteful number, since it uses less digits than its factorization.

44144314344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626355 (or 1626348 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 44144314344 its reverse (44341344144), we get a palindrome (88485658488).

The spelling of 44144314344 in words is "forty-four billion, one hundred forty-four million, three hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 754 936 1044 1131 1508 2088 2262 3016 3393 4524 6786 9048 13572 27144 1626301 3252602 4878903 6505204 9757806 13010408 14636709 19515612 21141913 29273418 39031224 42283826 47162729 58546836 63425739 84567652 94325458 117093672 126851478 141488187 169135304 188650916 190277217 253702956 282976374 377301832 380554434 424464561 507405912 565952748 613115477 761108868 848929122 1131905496 1226230954 1522217736 1697858244 1839346431 2452461908 3395716488 3678692862 4904923816 5518039293 7357385724 11036078586 14714771448 22072157172 44144314344