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10400114141 = 73636122397
BaseRepresentation
bin10011010111110010…
…10010010111011101
3222211210122112112122
421223321102113131
5132244412123031
64435554312325
7515503340324
oct115371222735
928753575478
1010400114141
11445765875a
122022b886a5
13c9986b9c1
147093570bb
1540d09547b
hex26be525dd

10400114141 has 8 divisors (see below), whose sum is σ = 10544709624. Its totient is φ = 10255576320.

The previous prime is 10400114111. The next prime is 10400114149. The reversal of 10400114141 is 14141100401.

It can be written as a sum of positive squares in 4 ways, for example, as 3247860100 + 7152254041 = 56990^2 + 84571^2 .

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 10400114141 - 222 = 10395919837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400114149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453155 + ... + 475551.

It is an arithmetic number, because the mean of its divisors is an integer number (1318088703).

Almost surely, 210400114141 is an apocalyptic number.

It is an amenable number.

10400114141 is a deficient number, since it is larger than the sum of its proper divisors (144595483).

10400114141 is an equidigital number, since it uses as much as digits as its factorization.

10400114141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28831.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10400114141 its reverse (14141100401), we get a palindrome (24541214542).

The spelling of 10400114141 in words is "ten billion, four hundred million, one hundred fourteen thousand, one hundred forty-one".

Divisors: 1 73 6361 22397 464353 1634981 142467317 10400114141