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4361146425 = 3252174127809
BaseRepresentation
bin1000000111111000…
…11101000000111001
3102020221021012012200
410003330131000321
532412423141200
62000430300413
7213034063416
oct40374350071
912227235180
104361146425
111938831949
12a18657709
135466ab21c
142d52c310d
151a7d11800
hex103f1d039

4361146425 has 72 divisors (see below), whose sum is σ = 8472817080. Its totient is φ = 2135654400.

The previous prime is 4361146423. The next prime is 4361146441. The reversal of 4361146425 is 5246411634.

4361146425 is a `hidden beast` number, since 4 + 3 + 6 + 1 + 1 + 4 + 642 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1238124969 + 3123021456 = 35187^2 + 55884^2 .

It is not a de Polignac number, because 4361146425 - 21 = 4361146423 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4361146425.

It is not an unprimeable number, because it can be changed into a prime (4361146421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 142921 + ... + 170729.

It is an arithmetic number, because the mean of its divisors is an integer number (117678015).

Almost surely, 24361146425 is an apocalyptic number.

4361146425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4361146425 is a deficient number, since it is larger than the sum of its proper divisors (4111670655).

4361146425 is a wasteful number, since it uses less digits than its factorization.

4361146425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27883 (or 27875 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4361146425 is about 66038.9765593017. The cubic root of 4361146425 is about 1633.8050073513.

The spelling of 4361146425 in words is "four billion, three hundred sixty-one million, one hundred forty-six thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 41 45 51 75 85 123 153 205 225 255 369 425 615 697 765 1025 1275 1845 2091 3075 3485 3825 6273 9225 10455 17425 27809 31365 52275 83427 139045 156825 250281 417135 472753 695225 1140169 1251405 1418259 2085675 2363765 3420507 4254777 5700845 6257025 7091295 10261521 11818825 17102535 19382873 21273885 28504225 35456475 51307605 58148619 85512675 96914365 106369425 174445857 256538025 290743095 484571825 872229285 1453715475 4361146425