Search a number
-
+
3420161999424 = 263225123072
BaseRepresentation
bin110001110001010001100…
…010101000001001000000
3110002222000222012100010100
4301301101202220021000
5422013442432440144
611135111205202400
7502045542216402
oct61612142501100
913088028170110
103420161999424
1110a9534315715
12472a25400400
131ba69b286701
14bb772ab0b72
155de76208269
hex31c518a8240

3420161999424 has 189 divisors, whose sum is σ = 9874653983571. Its totient is φ = 1131813216000.

The previous prime is 3420161999417. The next prime is 3420161999497. The reversal of 3420161999424 is 4249991610243.

The square root of 3420161999424 is 1849368.

It is a perfect power (a square), and thus also a powerful number.

3420161999424 is a `hidden beast` number, since 3 + 4 + 20 + 1 + 6 + 199 + 9 + 424 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11140592679 + ... + 11140592985.

Almost surely, 23420161999424 is an apocalyptic number.

3420161999424 is the 1849368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420161999424

3420161999424 is an abundant number, since it is smaller than the sum of its proper divisors (6454491984147).

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

3420161999424 is an frugal number, since it uses more digits than its factorization.

3420161999424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3420161999424 in words is "three trillion, four hundred twenty billion, one hundred sixty-one million, nine hundred ninety-nine thousand, four hundred twenty-four".