Search a number
-
+
23354431040 = 26572982597
BaseRepresentation
bin10101110000000010…
…000101011001000000
32020021121111000120102
4111300002011121000
5340312213243130
614421234301532
71454513250143
oct256002053100
966247430512
1023354431040
1199a4a70786
1246394278a8
132282637185
1411b79d005a
1591a4c1645
hex570085640

23354431040 has 28 divisors (see below), whose sum is σ = 55612739676. Its totient is φ = 9341772288.

The previous prime is 23354431019. The next prime is 23354431057. The reversal of 23354431040 is 4013445332.

It can be written as a sum of positive squares in 2 ways, for example, as 12181095424 + 11173335616 = 110368^2 + 105704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23354430994 and 23354431012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36490979 + ... + 36491618.

Almost surely, 223354431040 is an apocalyptic number.

23354431040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23354431040 is an abundant number, since it is smaller than the sum of its proper divisors (32258308636).

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

23354431040 is an equidigital number, since it uses as much as digits as its factorization.

23354431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72982614 (or 72982604 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 23354431040 its reverse (4013445332), we get a palindrome (27367876372).

The spelling of 23354431040 in words is "twenty-three billion, three hundred fifty-four million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 72982597 145965194 291930388 364912985 583860776 729825970 1167721552 1459651940 2335443104 2919303880 4670886208 5838607760 11677215520 23354431040