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140124202043121 = 3275893553357737
BaseRepresentation
bin11111110111000100110101…
…010010011000011011110001
3200101010202001120022001121100
4133313010311102120123301
5121331243331210334441
61214004100355515013
741341432232162052
oct3767046522303361
9611122046261540
10140124202043121
114071438202857a
12138710138b8a69
13602586a33a6ca
14268609473c729
15112ee43326cb6
hex7f71354986f1

140124202043121 has 24 divisors (see below), whose sum is σ = 202437498617640. Its totient is φ = 93399578931456.

The previous prime is 140124202043107. The next prime is 140124202043129. The reversal of 140124202043121 is 121340202421041.

140124202043121 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 2 + 4 + 202 + 0 + 431 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26622132592896 + 113502069450225 = 5159664^2 + 10653735^2 .

It is not a de Polignac number, because 140124202043121 - 26 = 140124202043057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (140124202043129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2426910565 + ... + 2426968301.

It is an arithmetic number, because the mean of its divisors is an integer number (8434895775735).

Almost surely, 2140124202043121 is an apocalyptic number.

It is an amenable number.

140124202043121 is a deficient number, since it is larger than the sum of its proper divisors (62313296574519).

140124202043121 is a wasteful number, since it uses less digits than its factorization.

140124202043121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100865 (or 100862 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 140124202043121 its reverse (121340202421041), we get a palindrome (261464404464162).

The spelling of 140124202043121 in words is "one hundred forty trillion, one hundred twenty-four billion, two hundred two million, forty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 7589 22767 35533 57737 68301 106599 173211 319797 519633 269659937 438166093 808979811 1314498279 2051568821 2426939433 3943494837 6154706463 18464119389 15569355782569 46708067347707 140124202043121