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32142343044213 = 32295383228712241
BaseRepresentation
bin1110100111011101110001…
…11100000111110001110101
311012210210000011002110121200
413103232320330013301311
513203110004304403323
6152205553305403113
76525131136662253
oct723567074076165
9135723004073550
1032142343044213
11a272544776856
123731499799499
1314c2018acbaac
147d19aa6dd5d3
153ab16954d443
hex1d3bb8f07c75

32142343044213 has 96 divisors (see below), whose sum is σ = 49550272611840. Its totient is φ = 20043987425280.

The previous prime is 32142343044209. The next prime is 32142343044239. The reversal of 32142343044213 is 31244034324123.

32142343044213 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 2 + 3 + 430 + 4 + 4 + 213 = 666.

It is not a de Polignac number, because 32142343044213 - 22 = 32142343044209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32142343044013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2625787773 + ... + 2625800013.

It is an arithmetic number, because the mean of its divisors is an integer number (516148673040).

Almost surely, 232142343044213 is an apocalyptic number.

It is an amenable number.

32142343044213 is a deficient number, since it is larger than the sum of its proper divisors (17407929567627).

32142343044213 is a wasteful number, since it uses less digits than its factorization.

32142343044213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14699 (or 14696 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 32142343044213 its reverse (31244034324123), we get a palindrome (63386377368336).

The spelling of 32142343044213 in words is "thirty-two trillion, one hundred forty-two billion, three hundred forty-three million, forty-four thousand, two hundred thirteen".

Divisors: 1 3 9 29 53 83 87 159 249 261 477 747 1537 2287 2407 4399 4611 6861 7221 12241 13197 13833 20583 21663 36723 39591 66323 110169 121211 127571 189821 198969 354989 363633 382713 569463 596907 648773 1016003 1064967 1090899 1148139 1708389 1946319 3048009 3194901 3515119 5504809 5838957 9144027 10060513 10545357 16514427 18814417 27995167 29464087 30181539 31636071 49543281 53848159 56443251 83985501 88392261 90544617 161544477 169329753 251956503 265176783 291754877 484633431 811859843 875264631 1483743851 1561596611 2323598861 2435579529 2625793893 4451231553 4684789833 6970796583 7306738587 13353694659 14054369499 20912389749 43028571679 67384366969 123150739633 129085715037 202153100907 369452218899 387257145111 606459302721 1108356656697 3571371449357 10714114348071 32142343044213