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141731340661 = 293161109131181
BaseRepresentation
bin1000001111111111011…
…0001010000101110101
3111112211111112002122101
42003333312022011311
54310231210400121
6145035510302101
713145143342501
oct2037766120565
9445744462571
10141731340661
1155120712a99
1223575657931
1310499492821
146c07551301
153a47c16491
hex20ffd8a175

141731340661 has 64 divisors (see below), whose sum is σ = 157289932800. Its totient is φ = 127370880000.

The previous prime is 141731340649. The next prime is 141731340671. The reversal of 141731340661 is 166043137141.

It is a 5-Lehmer number, since φ(141731340661) divides (141731340661-1)5.

It is a cyclic number.

It is not a de Polignac number, because 141731340661 - 223 = 141722952053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 141731340661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141731340671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 783045991 + ... + 783046171.

It is an arithmetic number, because the mean of its divisors is an integer number (2457655200).

It is a Poulet number, since it divides 2141731340660-1.

Almost surely, 2141731340661 is an apocalyptic number.

141731340661 is the 168364-th centered decagonal number.

It is an amenable number.

141731340661 is a deficient number, since it is larger than the sum of its proper divisors (15558592139).

141731340661 is a wasteful number, since it uses less digits than its factorization.

141731340661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 141731340661 in words is "one hundred forty-one billion, seven hundred thirty-one million, three hundred forty thousand, six hundred sixty-one".

Divisors: 1 29 31 61 109 131 181 899 1769 1891 3161 3379 3799 4061 5249 5611 6649 7991 11041 14279 19729 23711 54839 97991 117769 162719 192821 206119 231739 247721 320189 342271 414091 442649 572141 611599 687619 735041 871019 1203469 1446371 2584499 5977451 7183909 9925859 12836821 17736371 21316189 25259551 27001589 34900601 37307539 41944759 44837501 74950471 80119469 157654439 783046081 1081918631 1300287529 2323464601 4571978731 4887287609 141731340661