Search a number
-
+
131243442004032 = 263846318076941
BaseRepresentation
bin11101110101110101111110…
…101111010110000001000000
3122012200202021010111212010120
4131311311332233112001000
5114200243032123112112
61143044223243300240
736434011561305501
oct3565657657260100
9565622233455116
10131243442004032
1138900038557996
1212877a3721a680
135830285064007
14245a306076ba8
151028e2301de8c
hex775d7ebd6040

131243442004032 has 56 divisors (see below), whose sum is σ = 347252419714752. Its totient is φ = 43747291660800.

The previous prime is 131243442004013. The next prime is 131243442004049. The reversal of 131243442004032 is 230400244342131.

131243442004032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1312434420040322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131243442003984 and 131243442004002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12210682 + ... + 20287622.

Almost surely, 2131243442004032 is an apocalyptic number.

131243442004032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131243442004032 is an abundant number, since it is smaller than the sum of its proper divisors (216008977710720).

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

131243442004032 is an equidigital number, since it uses as much as digits as its factorization.

131243442004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8161587 (or 8161577 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 131243442004032 its reverse (230400244342131), we get a palindrome (361643686346163).

The spelling of 131243442004032 in words is "one hundred thirty-one trillion, two hundred forty-three billion, four hundred forty-two million, four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 84631 169262 253893 338524 507786 677048 1015572 1354096 2031144 2708192 4062288 5416384 8076941 8124576 16153882 16249152 24230823 32307764 48461646 64615528 96923292 129231056 193846584 258462112 387693168 516924224 775386336 1550772672 683559593771 1367119187542 2050678781313 2734238375084 4101357562626 5468476750168 8202715125252 10936953500336 16405430250504 21873907000672 32810860501008 43747814001344 65621721002016 131243442004032