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133302423412404 = 223343471494098847
BaseRepresentation
bin11110010011110011100011…
…100110000101111010110100
3122110222120212002021200211000
4132103303203212011322310
5114433011330343144104
61151302142104443300
740035532214435421
oct3623634346057264
9573876762250730
10133302423412404
1139524270913874
1212b4aa9ba79530
13594c49800900c
1424cbc2bdccd48
15106277e0e9639
hex793ce3985eb4

133302423412404 has 192 divisors, whose sum is σ = 363584212992000. Its totient is φ = 42192274674816.

The previous prime is 133302423412393. The next prime is 133302423412409. The reversal of 133302423412404 is 404214324203331.

133302423412404 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 2 + 4 + 234 + 12 + 404 = 666.

It is a super-2 number, since 2×1333024234124042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133302423412409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30472509 + ... + 34571355.

It is an arithmetic number, because the mean of its divisors is an integer number (1893667776000).

Almost surely, 2133302423412404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133302423412404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181792106496000).

133302423412404 is an abundant number, since it is smaller than the sum of its proper divisors (230281789579596).

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

133302423412404 is a wasteful number, since it uses less digits than its factorization.

133302423412404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099099 (or 4099091 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 133302423412404 its reverse (404214324203331), we get a palindrome (537516747615735).

The spelling of 133302423412404 in words is "one hundred thirty-three trillion, three hundred two billion, four hundred twenty-three million, four hundred twelve thousand, four hundred four".