Search a number
-
+
3451422512832 = 2637172329376121
BaseRepresentation
bin110010001110011000110…
…100000001011011000000
3110012221201120100221211020
4302032120310001123000
5423022003130402312
611201321150345440
7504233316206430
oct62163064013300
913187646327736
103451422512832
111110816037068
12478aaa4bb280
131c061083c818
14bd09a6bc2c0
155eba582278c
hex32398d016c0

3451422512832 has 896 divisors, whose sum is σ = 12252807843840. Its totient is φ = 833845985280.

The previous prime is 3451422512773. The next prime is 3451422512833. The reversal of 3451422512832 is 2382152241543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3451422512833) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 563862732 + ... + 563868852.

Almost surely, 23451422512832 is an apocalyptic number.

3451422512832 is a gapful number since it is divisible by the number (32) 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 3451422512832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126403921920).

3451422512832 is an abundant number, since it is smaller than the sum of its proper divisors (8801385331008).

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

3451422512832 is a wasteful number, since it uses less digits than its factorization.

3451422512832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6249 (or 6239 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 3451422512832 in words is "three trillion, four hundred fifty-one billion, four hundred twenty-two million, five hundred twelve thousand, eight hundred thirty-two".