Search a number
-
+
4315019040 = 25355294389
BaseRepresentation
bin1000000010011000…
…11111011100100000
3102010201110200100000
410001030133130200
532314121102130
61552101500000
7211634025303
oct40114373440
912121420300
104315019040
111914796742
12a05111600
13539c7a707
142cd116b3a
151a3c4e260
hex10131f720

4315019040 has 576 divisors, whose sum is σ = 16345929600. Its totient is φ = 1072963584.

The previous prime is 4315018987. The next prime is 4315019041. The reversal of 4315019040 is 409105134.

4315019040 is a `hidden beast` number, since 4 + 31 + 501 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4315018995 and 4315019013.

It is not an unprimeable number, because it can be changed into a prime (4315019041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48483316 + ... + 48483404.

It is an arithmetic number, because the mean of its divisors is an integer number (28378350).

Almost surely, 24315019040 is an apocalyptic number.

4315019040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4315019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8172964800).

4315019040 is an abundant number, since it is smaller than the sum of its proper divisors (12030910560).

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

4315019040 is a wasteful number, since it uses less digits than its factorization.

4315019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4315019040 is about 65688.8045255811. The cubic root of 4315019040 is about 1628.0243845289.

The spelling of 4315019040 in words is "four billion, three hundred fifteen million, nineteen thousand, forty".