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140035504121 = 7340113013677
BaseRepresentation
bin1000001001101011000…
…1000011011111111001
3111101110022111200020122
42002122301003133321
54243243042112441
6144155330503025
713055132100602
oct2023261033771
9441408450218
10140035504121
1154430433997
1223181734a75
1310289043356
146ac6230da9
153998dd634b
hex209ac437f9

140035504121 has 16 divisors (see below), whose sum is σ = 142455913488. Its totient is φ = 137629440000.

The previous prime is 140035504109. The next prime is 140035504153. The reversal of 140035504121 is 121405530041.

140035504121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3701018896 + 136334485225 = 60836^2 + 369235^2 .

It is a cyclic number.

It is not a de Polignac number, because 140035504121 - 226 = 139968395257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (140035504171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38082335 + ... + 38086011.

It is an arithmetic number, because the mean of its divisors is an integer number (8903494593).

Almost surely, 2140035504121 is an apocalyptic number.

It is an amenable number.

140035504121 is a deficient number, since it is larger than the sum of its proper divisors (2420409367).

140035504121 is a wasteful number, since it uses less digits than its factorization.

140035504121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5452.

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 140035504121 in words is "one hundred forty billion, thirty-five million, five hundred four thousand, one hundred twenty-one".

Divisors: 1 73 401 1301 3677 29273 94973 268421 521701 1474477 4783777 38084173 107636821 349215721 1918294577 140035504121