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4140215406 = 2321912105893
BaseRepresentation
bin1111011011000110…
…1010110001101110
3101200112112201211100
43312301222301232
531434343343111
61522455103530
7204412151565
oct36661526156
911615481740
104140215406
111835053128
12976671ba6
1350c9a5b02
142b3c12bdc
15193720756
hexf6c6ac6e

4140215406 has 24 divisors (see below), whose sum is σ = 9442597320. Its totient is φ = 1307436336.

The previous prime is 4140215399. The next prime is 4140215419. The reversal of 4140215406 is 6045120414.

4140215406 is a `hidden beast` number, since 4 + 1 + 40 + 215 + 406 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4140215406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6052605 + ... + 6053288.

It is an arithmetic number, because the mean of its divisors is an integer number (393441555).

Almost surely, 24140215406 is an apocalyptic number.

4140215406 is an abundant number, since it is smaller than the sum of its proper divisors (5302381914).

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

4140215406 is a wasteful number, since it uses less digits than its factorization.

4140215406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12105920 (or 12105917 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4140215406 is about 64344.5056395649. The cubic root of 4140215406 is about 1605.7366217235.

The spelling of 4140215406 in words is "four billion, one hundred forty million, two hundred fifteen thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 12105893 24211786 36317679 72635358 108953037 217906074 230011967 460023934 690035901 1380071802 2070107703 4140215406