Search a number
-
+
1023478431880 = 2351729379714461
BaseRepresentation
bin11101110010011000001…
…00011000000010001000
310121211202222020100020011
432321030010120002020
5113232040434310010
62102102434441304
7133641515062522
oct16711404300210
93554688210204
101023478431880
11365066990303
12146434a33234
137568a4ca998
14377726b4a12
151b952a7da8a
hexee4c118088

1023478431880 has 256 divisors, whose sum is σ = 2617425316800. Its totient is φ = 358211911680.

The previous prime is 1023478431841. The next prime is 1023478431901. The reversal of 1023478431880 is 881348743201.

It can be written as a sum of positive squares in 32 ways, for example, as 107453956 + 1023370977924 = 10366^2 + 1011618^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70767850 + ... + 70782310.

Almost surely, 21023478431880 is an apocalyptic number.

1023478431880 is a gapful number since it is divisible by the number (10) 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 1023478431880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308712658400).

1023478431880 is an abundant number, since it is smaller than the sum of its proper divisors (1593946884920).

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

1023478431880 is a wasteful number, since it uses less digits than its factorization.

1023478431880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14652 (or 14648 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 1023478431880 in words is "one trillion, twenty-three billion, four hundred seventy-eight million, four hundred thirty-one thousand, eight hundred eighty".