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133442014104 = 23327712137181
BaseRepresentation
bin111110001000111000…
…0111000101110011000
3110202102210200200022200
41330101300320232120
54141242123422404
6141145153250200
712432550255620
oct1742160705630
9422383620280
10133442014104
11516575a1293
1221a41563960
13c77801ab79
14665c691880
153710119839
hex1f11c38b98

133442014104 has 96 divisors (see below), whose sum is σ = 413103918240. Its totient is φ = 38119910400.

The previous prime is 133442014067. The next prime is 133442014109. The reversal of 133442014104 is 401410244331.

133442014104 is a `hidden beast` number, since 1 + 3 + 3 + 44 + 201 + 410 + 4 = 666.

It is a super-2 number, since 2×1334420141042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133442014109) 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, 3570394 + ... + 3607574.

It is an arithmetic number, because the mean of its divisors is an integer number (4303165815).

Almost surely, 2133442014104 is an apocalyptic number.

133442014104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133442014104 is an abundant number, since it is smaller than the sum of its proper divisors (279661904136).

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

133442014104 is a wasteful number, since it uses less digits than its factorization.

133442014104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44321 (or 44314 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 133442014104 its reverse (401410244331), we get a palindrome (534852258435).

The spelling of 133442014104 in words is "one hundred thirty-three billion, four hundred forty-two million, fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 7121 14242 21363 28484 37181 42726 49847 56968 64089 74362 85452 99694 111543 128178 148724 149541 170904 199388 223086 256356 260267 297448 299082 334629 398776 446172 448623 512712 520534 598164 669258 780801 892344 897246 1041068 1196328 1338516 1561602 1794492 2082136 2342403 2677032 3123204 3588984 4684806 6246408 9369612 18739224 264765901 529531802 794297703 1059063604 1588595406 1853361307 2118127208 2382893109 3177190812 3706722614 4765786218 5560083921 6354381624 7413445228 9531572436 11120167842 14826890456 16680251763 19063144872 22240335684 33360503526 44480671368 66721007052 133442014104