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4019431905 = 325422921121
BaseRepresentation
bin1110111110010011…
…1010100111100001
3101101010021022000100
43233210322213201
531212433310110
61502502213013
7201414415236
oct35744724741
911333238010
104019431905
111782956755
12942124169
134c0966398
142a1b7178d
15187d12bc0
hexef93a9e1

4019431905 has 24 divisors (see below), whose sum is σ = 6968992680. Its totient is φ = 2143088640.

The previous prime is 4019431901. The next prime is 4019431909. The reversal of 4019431905 is 5091349104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4019431901) and next prime (4019431909).

It can be written as a sum of positive squares in 4 ways, for example, as 2087301969 + 1932129936 = 45687^2 + 43956^2 .

It is not a de Polignac number, because 4019431905 - 22 = 4019431901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4019431905.

It is not an unprimeable number, because it can be changed into a prime (4019431901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 179745 + ... + 200865.

It is an arithmetic number, because the mean of its divisors is an integer number (290374695).

Almost surely, 24019431905 is an apocalyptic number.

4019431905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4019431905 is a deficient number, since it is larger than the sum of its proper divisors (2949560775).

4019431905 is a wasteful number, since it uses less digits than its factorization.

4019431905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25361 (or 25358 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 4019431905 is about 63398.9897790178. The cubic root of 4019431905 is about 1589.9674195294.

The spelling of 4019431905 in words is "four billion, nineteen million, four hundred thirty-one thousand, nine hundred five".

Divisors: 1 3 5 9 15 45 4229 12687 21121 21145 38061 63363 63435 105605 190089 190305 316815 950445 89320709 267962127 446603545 803886381 1339810635 4019431905