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10042401411 = 337461115259
BaseRepresentation
bin10010101101001001…
…01110001010000011
3221220212112211221000
421112210232022003
5131031323321121
64340255303043
7503601001140
oct112644561203
927825484830
1010042401411
1142937458a9
121b4321aa83
13c40715073
146b3a3d3c7
153db986526
hex25692e283

10042401411 has 32 divisors (see below), whose sum is σ = 17040038400. Its totient is φ = 5726017440.

The previous prime is 10042401409. The next prime is 10042401431. The reversal of 10042401411 is 11410424001.

10042401411 is a `hidden beast` number, since 10 + 0 + 4 + 240 + 1 + 411 = 666.

It is not a de Polignac number, because 10042401411 - 21 = 10042401409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10042401401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29500 + ... + 144758.

It is an arithmetic number, because the mean of its divisors is an integer number (532501200).

Almost surely, 210042401411 is an apocalyptic number.

10042401411 is a deficient number, since it is larger than the sum of its proper divisors (6997636989).

10042401411 is a wasteful number, since it uses less digits than its factorization.

10042401411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115736 (or 115730 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10042401411 its reverse (11410424001), we get a palindrome (21452825412).

The spelling of 10042401411 in words is "ten billion, forty-two million, four hundred one thousand, four hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 461 1383 3227 4149 9681 12447 29043 87129 115259 345777 806813 1037331 2420439 3111993 7261317 21783951 53134399 159403197 371940793 478209591 1115822379 1434628773 3347467137 10042401411