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40142132061102 = 23231537917181587
BaseRepresentation
bin10010010000010010100011…
…00001011010001110101110
312021010112212012110211001200
421020021101201122032232
520230142041301423402
6221213012455350330
711312113311451431
oct1110112141321656
9167115765424050
1040142132061102
1111877201055285
1246039929823a6
131952504a91776
149cac64d3b818
154992c7bda21c
hex24825185a3ae

40142132061102 has 96 divisors (see below), whose sum is σ = 92632126279680. Its totient is φ = 12543932306880.

The previous prime is 40142132061079. The next prime is 40142132061113. The reversal of 40142132061102 is 20116023124104.

40142132061102 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 21 + 3 + 20 + 611 + 0 + 2 = 666.

It is a super-2 number, since 2×401421320611022 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6254448 + ... + 10927139.

It is an arithmetic number, because the mean of its divisors is an integer number (964917982080).

Almost surely, 240142132061102 is an apocalyptic number.

40142132061102 is an abundant number, since it is smaller than the sum of its proper divisors (52489994218578).

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

40142132061102 is a wasteful number, since it uses less digits than its factorization.

40142132061102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17181758 (or 17181755 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 40142132061102 its reverse (20116023124104), we get a palindrome (60258155185206).

The spelling of 40142132061102 in words is "forty trillion, one hundred forty-two billion, one hundred thirty-two million, sixty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 31 53 62 79 93 106 158 159 186 237 279 318 474 477 558 711 954 1422 1643 2449 3286 4187 4898 4929 7347 8374 9858 12561 14694 14787 22041 25122 29574 37683 44082 75366 129797 259594 389391 778782 1168173 2336346 17181587 34363174 51544761 103089522 154634283 309268566 532629197 910624111 1065258394 1357345373 1597887591 1821248222 2714690746 2731872333 3195775182 4072036119 4793662773 5463744666 8144072238 8195616999 9587325546 12216108357 16391233998 24432216714 28229347441 42077706563 56458694882 71939304769 84155413126 84688042323 126233119689 143878609538 169376084646 215817914307 252466239378 254064126969 378699359067 431635828614 508128253938 647453742921 757398718134 1294907485842 2230118447839 4460236895678 6690355343517 13380710687034 20071066030551 40142132061102