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31744430173143 = 32193110159290943
BaseRepresentation
bin1110011011111000100110…
…11110111110101111010111
311011101201220220211020021100
413031330103132332233113
513130100043111020033
6151303105003521143
76454313400250242
oct715742336765727
9134351826736240
1031744430173143
11a1298122912a6
1236883495291b3
1314936439c2cac
147ba61d7d6259
153a0b2aec8513
hex1cdf137bebd7

31744430173143 has 48 divisors (see below), whose sum is σ = 50316666716160. Its totient is φ = 19210265208000.

The previous prime is 31744430173117. The next prime is 31744430173171. The reversal of 31744430173143 is 34137103444713.

31744430173143 is a `hidden beast` number, since 3 + 1 + 7 + 4 + 4 + 430 + 1 + 73 + 143 = 666.

It is not a de Polignac number, because 31744430173143 - 214 = 31744430156759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31744430173193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29110071 + ... + 30180872.

It is an arithmetic number, because the mean of its divisors is an integer number (1048263889920).

Almost surely, 231744430173143 is an apocalyptic number.

31744430173143 is a deficient number, since it is larger than the sum of its proper divisors (18572236543017).

31744430173143 is a wasteful number, since it uses less digits than its factorization.

31744430173143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59291100 (or 59291097 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 31744430173143 in words is "thirty-one trillion, seven hundred forty-four billion, four hundred thirty million, one hundred seventy-three thousand, one hundred forty-three".

Divisors: 1 3 9 19 31 57 93 101 171 279 303 589 909 1767 1919 3131 5301 5757 9393 17271 28179 59489 178467 535401 59290943 177872829 533618487 1126527917 1838019233 3379583751 5514057699 5988385243 10138751253 16542173097 17965155729 34922365427 53895467187 104767096281 113779319617 185639942533 314301288843 341337958851 556919827599 1024013876553 1670759482797 3527158908127 10581476724381 31744430173143