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240643535731441 = 3760550910741177
BaseRepresentation
bin110110101101110100110000…
…011101101111101011110001
31011120001022000202120102120221
4312231310300131233223301
5223020200430121401231
62211450040353533041
7101454631102006153
oct6655646035575361
91146038022512527
10240643535731441
116a7493943a1357
1222ba63b5274181
13a437784c3367b
14435d2d0370ad3
151cc4a55c29d11
hexdadd3076faf1

240643535731441 has 8 divisors (see below), whose sum is σ = 247147846249640. Its totient is φ = 234139247906688.

The previous prime is 240643535731327. The next prime is 240643535731447. The reversal of 240643535731441 is 144137535346042.

It can be written as a sum of positive squares in 4 ways, for example, as 115317100416400 + 125326435315041 = 10738580^2 + 11194929^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 240643535731441 - 225 = 240643502177009 is a prime.

It is a super-2 number, since 2×2406435357314412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240643535731447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17033245 + ... + 27774421.

It is an arithmetic number, because the mean of its divisors is an integer number (30893480781205).

Almost surely, 2240643535731441 is an apocalyptic number.

It is an amenable number.

240643535731441 is a deficient number, since it is larger than the sum of its proper divisors (6504310518199).

240643535731441 is a wasteful number, since it uses less digits than its factorization.

240643535731441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11346723.

The product of its (nonzero) digits is 14515200, while the sum is 52.

The spelling of 240643535731441 in words is "two hundred forty trillion, six hundred forty-three billion, five hundred thirty-five million, seven hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 37 605509 10741177 22403833 397423549 6503879344093 240643535731441