Search a number
-
+
3423285478080 = 263551326912589
BaseRepresentation
bin110001110100001011101…
…101110000001011000000
3110010021002122120111100000
4301310023231300023000
5422041342040244310
611140345144200000
7502216130312226
oct61641355601300
913107078514300
103423285478080
1110aa897453436
12473557469000
131baa78412330
14bb98b85ab16
155e0aa53d4c0
hex31d0bb702c0

3423285478080 has 672 divisors, whose sum is σ = 13199998593600. Its totient is φ = 839455653888.

The previous prime is 3423285478049. The next prime is 3423285478163. The reversal of 3423285478080 is 808745823243.

3423285478080 is a `hidden beast` number, since 3 + 423 + 28 + 5 + 47 + 80 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271920426 + ... + 271933014.

It is an arithmetic number, because the mean of its divisors is an integer number (19642855050).

Almost surely, 23423285478080 is an apocalyptic number.

3423285478080 is a gapful number since it is divisible by the number (30) 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 3423285478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599999296800).

3423285478080 is an abundant number, since it is smaller than the sum of its proper divisors (9776713115520).

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

3423285478080 is a wasteful number, since it uses less digits than its factorization.

3423285478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12903 (or 12881 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 3423285478080 in words is "three trillion, four hundred twenty-three billion, two hundred eighty-five million, four hundred seventy-eight thousand, eighty".