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140543949345041 = 11210111500200421
BaseRepresentation
bin11111111101001011110000…
…001011010001000100010001
3200102121212111110220022020202
4133331023300023101010101
5121410133002013020131
61214524555441144545
741413652040316634
oct3775136013210421
9612555443808222
10140543949345041
1140866399483100
121391a43832b155
136056311ba7b88
14269c513407c1b
15113ad0d6c2bcb
hex7fd2f02d1111

140543949345041 has 12 divisors (see below), whose sum is σ = 156011718924852. Its totient is φ = 126502204620000.

The previous prime is 140543949345011. The next prime is 140543949345047.

140543949345041 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 128254016855041 + 12289932490000 = 11324929^2 + 3505700^2 .

It is not a de Polignac number, because 140543949345041 - 222 = 140543945150737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (140543949345047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5750087990 + ... + 5750112431.

It is an arithmetic number, because the mean of its divisors is an integer number (13000976577071).

Almost surely, 2140543949345041 is an apocalyptic number.

140543949345041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140543949345041 is a deficient number, since it is larger than the sum of its proper divisors (15467769579811).

140543949345041 is a wasteful number, since it uses less digits than its factorization.

140543949345041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500200544 (or 11500200533 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 56.

The spelling of 140543949345041 in words is "one hundred forty trillion, five hundred forty-three billion, nine hundred forty-nine million, three hundred forty-five thousand, forty-one".

Divisors: 1 11 101 121 1111 12221 11500200421 126502204631 1161520242521 1391524250941 12776722667731 140543949345041