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10040242401 = 327413887047
BaseRepresentation
bin10010101100111000…
…11111000011100001
3221220201111011022200
421112130133003201
5131030300224101
64340141123413
7503543436510
oct112634370341
927821434280
1010040242401
1142925007a2
121b42559569
13c4013a447
146b363a677
153db6ab986
hex25671f0e1

10040242401 has 24 divisors (see below), whose sum is σ = 16978625664. Its totient is φ = 5597346240.

The previous prime is 10040242393. The next prime is 10040242451. The reversal of 10040242401 is 10424204001.

10040242401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10040242401 - 23 = 10040242393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10040242451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940941 + ... + 1946106.

It is an arithmetic number, because the mean of its divisors is an integer number (707442736).

Almost surely, 210040242401 is an apocalyptic number.

It is an amenable number.

10040242401 is a deficient number, since it is larger than the sum of its proper divisors (6938383263).

10040242401 is a wasteful number, since it uses less digits than its factorization.

10040242401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887101 (or 3887098 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10040242401 its reverse (10424204001), we get a palindrome (20464446402).

The spelling of 10040242401 in words is "ten billion, forty million, two hundred forty-two thousand, four hundred one".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 2583 3887047 11661141 27209329 34983423 81627987 159368927 244883961 478106781 1115582489 1434320343 3346747467 10040242401