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131330414100040 = 2356971470988431
BaseRepresentation
bin11101110111000110111110…
…101011100011111001001000
3122020000001202100212002211121
4131313012332223203321020
5114203204142002200130
61143152205341205024
736443211043030561
oct3567067653437110
9566001670762747
10131330414100040
1138933a08a89991
1212890869b60774
135838535781b0c
1424605d6b87168
15102b313643d7a
hex7771beae3e48

131330414100040 has 32 divisors (see below), whose sum is σ = 295535821311360. Its totient is φ = 52524629713600.

The previous prime is 131330414099959. The next prime is 131330414100047. The reversal of 131330414100040 is 40001414033131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131330414099978 and 131330414100014.

It is not an unprimeable number, because it can be changed into a prime (131330414100047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235215376 + ... + 235773055.

It is an arithmetic number, because the mean of its divisors is an integer number (9235494415980).

Almost surely, 2131330414100040 is an apocalyptic number.

131330414100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131330414100040 is an abundant number, since it is smaller than the sum of its proper divisors (164205407211320).

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

131330414100040 is a wasteful number, since it uses less digits than its factorization.

131330414100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470995413 (or 470995409 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 131330414100040 its reverse (40001414033131), we get a palindrome (171331828133171).

The spelling of 131330414100040 in words is "one hundred thirty-one trillion, three hundred thirty billion, four hundred fourteen million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 6971 13942 27884 34855 55768 69710 139420 278840 470988431 941976862 1883953724 2354942155 3767907448 4709884310 9419768620 18839537240 3283260352501 6566520705002 13133041410004 16416301762505 26266082820008 32832603525010 65665207050020 131330414100040