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3133041314040 = 23325113125521679
BaseRepresentation
bin101101100101110111110…
…100001000100011111000
3102002111221000222021121200
4231211313310020203320
5402312432034022130
610355144352334200
7442232453524161
oct55456764104370
912074830867550
103133041314040
11aa8796164090
12427255244360
131995a1822931
14ab8d6280768
155676e5ac760
hex2d977d088f8

3133041314040 has 192 divisors, whose sum is σ = 11466380390400. Its totient is φ = 735024326400.

The previous prime is 3133041314017. The next prime is 3133041314119. The reversal of 3133041314040 is 404131403313.

3133041314040 is a `hidden beast` number, since 3 + 1 + 3 + 304 + 1 + 314 + 0 + 40 = 666.

It is a super-2 number, since 2×31330413140402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3133041313995 and 3133041314013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12638080 + ... + 12883599.

It is an arithmetic number, because the mean of its divisors is an integer number (59720731200).

Almost surely, 23133041314040 is an apocalyptic number.

3133041314040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3133041314040 is an abundant number, since it is smaller than the sum of its proper divisors (8333339076360).

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

3133041314040 is a wasteful number, since it uses less digits than its factorization.

3133041314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25521738 (or 25521731 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3133041314040 its reverse (404131403313), we get a palindrome (3537172717353).

The spelling of 3133041314040 in words is "three trillion, one hundred thirty-three billion, forty-one million, three hundred fourteen thousand, forty".