Search a number
-
+
131044324354344 = 23321820060060477
BaseRepresentation
bin11101110010111100100010…
…011001110010100100101000
3122011222201022021112012201100
4131302330202121302210220
5114134012234013314334
61142412533113121400
736413432343230412
oct3562744231624450
9564881267465640
10131044324354344
1138833649863625
12128453270b9260
13581757179bb1b
1424508172399b2
151023b6c28bc99
hex772f22672928

131044324354344 has 24 divisors (see below), whose sum is σ = 354911711793210. Its totient is φ = 43681441451424.

The previous prime is 131044324354337. The next prime is 131044324354373. The reversal of 131044324354344 is 443453423440131.

131044324354344 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 43 + 24 + 3 + 543 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88586459313444 + 42457865040900 = 9412038^2 + 6515970^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1310443243543442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131044324354344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 910030030167 + ... + 910030030310.

Almost surely, 2131044324354344 is an apocalyptic number.

It is an amenable number.

131044324354344 is an abundant number, since it is smaller than the sum of its proper divisors (223867387438866).

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

131044324354344 is a wasteful number, since it uses less digits than its factorization.

131044324354344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820060060489 (or 1820060060482 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

Adding to 131044324354344 its reverse (443453423440131), we get a palindrome (574497747794475).

The spelling of 131044324354344 in words is "one hundred thirty-one trillion, forty-four billion, three hundred twenty-four million, three hundred fifty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1820060060477 3640120120954 5460180181431 7280240241908 10920360362862 14560480483816 16380540544293 21840720725724 32761081088586 43681441451448 65522162177172 131044324354344