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140131202131041 = 3112386036369507
BaseRepresentation
bin11111110111001011010110…
…100001100110010001100001
3200101011102010102012100222220
4133313023112201212101201
5121331402200221143131
61214011215140021253
741342100552015462
oct3767132641462141
9611142112170886
10140131202131041
1140717344432200
1213872448091829
136026414674674
14268655a2bcd69
151130202b5be96
hex7f72d6866461

140131202131041 has 12 divisors (see below), whose sum is σ = 205371348578256. Its totient is φ = 84928001291320.

The previous prime is 140131202131027. The next prime is 140131202131049.

140131202131041 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-140131202131041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (140131202131049) 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, 193018184391 + ... + 193018185116.

It is an arithmetic number, because the mean of its divisors is an integer number (17114279048188).

Almost surely, 2140131202131041 is an apocalyptic number.

140131202131041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140131202131041 is a deficient number, since it is larger than the sum of its proper divisors (65240146447215).

140131202131041 is a wasteful number, since it uses less digits than its factorization.

140131202131041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386036369532 (or 386036369521 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 14013120 and 2131041, that added together give a palindrome (16144161).

The spelling of 140131202131041 in words is "one hundred forty trillion, one hundred thirty-one billion, two hundred two million, one hundred thirty-one thousand, forty-one".

Divisors: 1 3 11 33 121 363 386036369507 1158109108521 4246400064577 12739200193731 46710400710347 140131202131041