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132043132414314 = 232111163573417461
BaseRepresentation
bin11110000001011110110000…
…000000001010100101101010
3122022112012101221002210212100
4132001132300000022211222
5114301343313344224224
61144455435544154230
736545541625530552
oct3601366000124552
9568465357083770
10132043132414314
11390891a5988310
1212986a15a68976
13588a7c9b359b4
142486cc9250162
15103eb2905aac9
hex7817b000a96a

132043132414314 has 48 divisors (see below), whose sum is σ = 312370309259424. Its totient is φ = 39978665311200.

The previous prime is 132043132414217. The next prime is 132043132414363. The reversal of 132043132414314 is 413414231340231.

132043132414314 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 3 + 1 + 324 + 14 + 314 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286478457 + ... + 286939004.

It is an arithmetic number, because the mean of its divisors is an integer number (6507714776238).

Almost surely, 2132043132414314 is an apocalyptic number.

132043132414314 is an abundant number, since it is smaller than the sum of its proper divisors (180327176845110).

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

132043132414314 is a wasteful number, since it uses less digits than its factorization.

132043132414314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573418643 (or 573418640 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 132043132414314 its reverse (413414231340231), we get a palindrome (545457363754545).

The spelling of 132043132414314 in words is "one hundred thirty-two trillion, forty-three billion, one hundred thirty-two million, four hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1163 2326 3489 6978 10467 12793 20934 25586 38379 76758 115137 230274 573417461 1146834922 1720252383 3440504766 5160757149 6307592071 10321514298 12615184142 18922776213 37845552426 56768328639 113536657278 666884507143 1333769014286 2000653521429 4001307042858 6001960564287 7335729578573 12003921128574 14671459157146 22007188735719 44014377471438 66021566207157 132043132414314