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10015404240 = 243541730851
BaseRepresentation
bin10010101001111011…
…01111000011010000
3221211222202020202210
421110331233003100
5131002420413430
64333452512120
7503122350162
oct112475570320
927758666683
1010015404240
11427a486496
121b3617b640
13c37c51aca
146b0212932
153d94022b0
hex254f6f0d0

10015404240 has 40 divisors (see below), whose sum is σ = 31047753888. Its totient is φ = 2670774400.

The previous prime is 10015404239. The next prime is 10015404247. The reversal of 10015404240 is 4240451001.

It is a happy number.

10015404240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10015404247) 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 7 ways as a sum of consecutive naturals, for example, 20865186 + ... + 20865665.

Almost surely, 210015404240 is an apocalyptic number.

10015404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10015404240 is an abundant number, since it is smaller than the sum of its proper divisors (21032349648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10015404240 is a wasteful number, since it uses less digits than its factorization.

10015404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41730867 (or 41730861 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 10015404240 its reverse (4240451001), we get a palindrome (14255855241).

The spelling of 10015404240 in words is "ten billion, fifteen million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 41730851 83461702 125192553 166923404 208654255 250385106 333846808 417308510 500770212 625962765 667693616 834617020 1001540424 1251925530 1669234040 2003080848 2503851060 3338468080 5007702120 10015404240