Search a number
-
+
10015440435 = 325711213172941
BaseRepresentation
bin10010101001111011…
…10111111000110011
3221211222211002102100
421110331313320303
5131002423043220
64333453351443
7503122560540
oct112475677063
927758732370
1010015440435
11427a500700
121b36198583
13c37c65420
146b0221bc7
153d940cd90
hex254f77e33

10015440435 has 576 divisors, whose sum is σ = 26351619840. Its totient is φ = 3406233600.

The previous prime is 10015440371. The next prime is 10015440473. The reversal of 10015440435 is 53404451001.

It is a happy number.

10015440435 is a `hidden beast` number, since 100 + 154 + 404 + 3 + 5 = 666.

It is not a de Polignac number, because 10015440435 - 26 = 10015440371 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10015440399 and 10015440408.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 244279015 + ... + 244279055.

It is an arithmetic number, because the mean of its divisors is an integer number (45749340).

Almost surely, 210015440435 is an apocalyptic number.

10015440435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10015440435 is an abundant number, since it is smaller than the sum of its proper divisors (16336179405).

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

10015440435 is a wasteful number, since it uses less digits than its factorization.

10015440435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10015440435 its reverse (53404451001), we get a palindrome (63419891436).

The spelling of 10015440435 in words is "ten billion, fifteen million, four hundred forty thousand, four hundred thirty-five".