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131413313310040 = 2356153857915291
BaseRepresentation
bin11101111000010100001011…
…110110111100110101011000
3122020021222201202100022021201
4131320110023312330311120
5114211033431201410130
61143254235343043544
736452204260502506
oct3570241366746530
9566258652308251
10131413313310040
1138966089475393
12128a49448a05b4
1358432b743bbb8
14246461c9ad676
15102d5663e7bca
hex77850bdbcd58

131413313310040 has 32 divisors (see below), whose sum is σ = 300527167329360. Its totient is φ = 51703598678400.

The previous prime is 131413313309987. The next prime is 131413313310157. The reversal of 131413313310040 is 40013313314131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131413313309990 and 131413313310008.

It is a congruent number.

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, 26928955206 + ... + 26928960085.

Almost surely, 2131413313310040 is an apocalyptic number.

131413313310040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413313310040 is an abundant number, since it is smaller than the sum of its proper divisors (169113854019320).

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

131413313310040 is a wasteful number, since it uses less digits than its factorization.

131413313310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53857915363 (or 53857915359 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 131413313310040 its reverse (40013313314131), we get a palindrome (171426626624171).

The spelling of 131413313310040 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirteen million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 53857915291 107715830582 215431661164 269289576455 430863322328 538579152910 1077158305820 2154316611640 3285332832751 6570665665502 13141331331004 16426664163755 26282662662008 32853328327510 65706656655020 131413313310040