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233140133133414 = 23313332108451757
BaseRepresentation
bin110101000000101000101010…
…110100010111110001100110
31010120110222102201210211222000
4311000220222310113301212
5221024231443040232124
62143503033143350130
7100051550560161363
oct6500505264276146
91116428381724860
10233140133133414
11683161a2226331
1222194152a52346
13a012035564a80
14418008506d46a
151be479ad2a6c9
hexd40a2ad17c66

233140133133414 has 32 divisors (see below), whose sum is σ = 557942198953440. Its totient is φ = 71735425579296.

The previous prime is 233140133133407. The next prime is 233140133133503. The reversal of 233140133133414 is 414331331041332.

233140133133414 is a `hidden beast` number, since 2 + 3 + 314 + 0 + 1 + 3 + 3 + 1 + 334 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166054225177 + ... + 166054226580.

It is an arithmetic number, because the mean of its divisors is an integer number (17435693717295).

Almost surely, 2233140133133414 is an apocalyptic number.

233140133133414 is an abundant number, since it is smaller than the sum of its proper divisors (324802065820026).

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

233140133133414 is a wasteful number, since it uses less digits than its factorization.

233140133133414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332108451781 (or 332108451775 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 233140133133414 its reverse (414331331041332), we get a palindrome (647471464174746).

The spelling of 233140133133414 in words is "two hundred thirty-three trillion, one hundred forty billion, one hundred thirty-three million, one hundred thirty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 332108451757 664216903514 996325355271 1992650710542 2988976065813 4317409872841 5977952131626 8634819745682 8966928197439 12952229618523 17933856394878 25904459237046 38856688855569 77713377711138 116570066566707 233140133133414