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3423278705616 = 24337112341109133
BaseRepresentation
bin110001110100001011010…
…011111010101111010000
3110010021002011211102021000
4301310023103322233100
5422041333322034431
611140344343102000
7502216015614360
oct61641323725720
913107064742230
103423278705616
1110aa893648160
12473555141900
131baa76bb0863
14bb98a9b69a0
155e0a9b519e6
hex31d0b4fabd0

3423278705616 has 640 divisors, whose sum is σ = 13095241850880. Its totient is φ = 829752422400.

The previous prime is 3423278705579. The next prime is 3423278705653. The reversal of 3423278705616 is 6165078723243.

It is a happy number.

3423278705616 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 2 + 7 + 8 + 70 + 561 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3423278705579) and next prime (3423278705653).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31313386 + ... + 31422518.

It is an arithmetic number, because the mean of its divisors is an integer number (20461315392).

Almost surely, 23423278705616 is an apocalyptic number.

3423278705616 is a gapful number since it is divisible by the number (36) 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 3423278705616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547620925440).

3423278705616 is an abundant number, since it is smaller than the sum of its proper divisors (9671963145264).

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

3423278705616 is a wasteful number, since it uses less digits than its factorization.

3423278705616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109232 (or 109220 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 3423278705616 in words is "three trillion, four hundred twenty-three billion, two hundred seventy-eight million, seven hundred five thousand, six hundred sixteen".