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133031660440401 = 3237461866582377
BaseRepresentation
bin11110001111110111011000…
…110111010100101101010001
3122110000200222010222120121200
4132033313120313110231101
5114414042320033043101
61150533522350341413
740010135363234532
oct3617673067245521
9573020863876550
10133031660440401
113942a457210428
1212b06515aba869
13592caa7485498
1424bcaa3c48689
15105a6d35a3986
hex78fdd8dd4b51

133031660440401 has 24 divisors (see below), whose sum is σ = 197778362966184. Its totient is φ = 86103624879360.

The previous prime is 133031660440391. The next prime is 133031660440409. The reversal of 133031660440401 is 104044066130331.

133031660440401 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 1 + 6 + 604 + 4 + 0 + 40 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5596370892225 + 127435289548176 = 2365665^2 + 11288724^2 .

It is not a de Polignac number, because 133031660440401 - 26 = 133031660440337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133031660440409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433137676 + ... + 433444701.

It is an arithmetic number, because the mean of its divisors is an integer number (8240765123591).

Almost surely, 2133031660440401 is an apocalyptic number.

It is an amenable number.

133031660440401 is a deficient number, since it is larger than the sum of its proper divisors (64746702525783).

133031660440401 is a wasteful number, since it uses less digits than its factorization.

133031660440401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866582881 (or 866582878 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 133031660440401 in words is "one hundred thirty-three trillion, thirty-one billion, six hundred sixty million, four hundred forty thousand, four hundred one".

Divisors: 1 3 9 37 111 333 461 1383 4149 17057 51171 153513 866582377 2599747131 7799241393 32063547949 96190643847 288571931541 399494475797 1198483427391 3595450282173 14781295604489 44343886813467 133031660440401