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140501505141 = 32138111304329
BaseRepresentation
bin1000001011011010001…
…0101101010001110101
3111102122210100222110200
42002312202231101311
54300221341131031
6144313454511113
713102521042264
oct2026642552165
9442583328420
10140501505141
115464a4893a8
1223291805499
13103317531ba
146b2c0965db
1539c4c858e6
hex20b68ad475

140501505141 has 12 divisors (see below), whose sum is σ = 203093592780. Its totient is φ = 93599835840.

The previous prime is 140501505113. The next prime is 140501505167. The reversal of 140501505141 is 141505105041.

140501505141 is a `hidden beast` number, since 14 + 0 + 5 + 0 + 1 + 505 + 141 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42623254116 + 97878251025 = 206454^2 + 312855^2 .

It is not a de Polignac number, because 140501505141 - 227 = 140367287413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140501501141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5639736 + ... + 5664593.

It is an arithmetic number, because the mean of its divisors is an integer number (16924466065).

Almost surely, 2140501505141 is an apocalyptic number.

It is an amenable number.

140501505141 is a deficient number, since it is larger than the sum of its proper divisors (62592087639).

140501505141 is a wasteful number, since it uses less digits than its factorization.

140501505141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11305716 (or 11305713 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 140501505141 in words is "one hundred forty billion, five hundred one million, five hundred five thousand, one hundred forty-one".

Divisors: 1 3 9 1381 4143 12429 11304329 33912987 101738961 15611278349 46833835047 140501505141