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32144034430104 = 23317671175886539
BaseRepresentation
bin1110100111100000111011…
…10000001111110010011000
311012210221101000201202212120
413103300131300033302120
513203121440303230404
6152210433205541240
76525221065346412
oct723603560176230
9135727330652776
1032144034430104
11a273232496033
123731890114820
1314c222835054c
147d1acb1c19b2
153ab217c9e9d9
hex1d3c1dc0fc98

32144034430104 has 64 divisors (see below), whose sum is σ = 86357107497600. Its totient is φ = 9933889473024.

The previous prime is 32144034430099. The next prime is 32144034430129. The reversal of 32144034430104 is 40103443044123.

It is a super-2 number, since 2×321440344301042 (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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587915934 + ... + 587970605.

It is an arithmetic number, because the mean of its divisors is an integer number (1349329804650).

Almost surely, 232144034430104 is an apocalyptic number.

32144034430104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

32144034430104 is an abundant number, since it is smaller than the sum of its proper divisors (54213073067496).

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

32144034430104 is a wasteful number, since it uses less digits than its factorization.

32144034430104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175886632 (or 1175886628 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 32144034430104 its reverse (40103443044123), we get a palindrome (72247477474227).

The spelling of 32144034430104 in words is "thirty-two trillion, one hundred forty-four billion, thirty-four million, four hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 102 134 136 201 204 268 402 408 536 804 1139 1608 2278 3417 4556 6834 9112 13668 27336 1175886539 2351773078 3527659617 4703546156 7055319234 9407092312 14110638468 19990071163 28221276936 39980142326 59970213489 78784398113 79960284652 119940426978 157568796226 159920569304 236353194339 239880853956 315137592452 472706388678 479761707912 630275184904 945412777356 1339334767921 1890825554712 2678669535842 4018004303763 5357339071684 8036008607526 10714678143368 16072017215052 32144034430104