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3402120220620 = 2235111719101158009
BaseRepresentation
bin110001100000011110001…
…010101100111111001100
3110001020110121102000100120
4301200132022230333030
5421220020234024440
611122525031224540
7500536465510242
oct61403612547714
913036417360316
103402120220620
1110a1916198220
1246b42b218150
131b8a844b8a54
14ba9408ca792
155d76c34add0
hex3181e2acfcc

3402120220620 has 384 divisors, whose sum is σ = 11697088435200. Its totient is φ = 728100864000.

The previous prime is 3402120220619. The next prime is 3402120220663. The reversal of 3402120220620 is 260220212043.

It is a happy number.

3402120220620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 21452176 + ... + 21610184.

It is an arithmetic number, because the mean of its divisors is an integer number (30461167800).

Almost surely, 23402120220620 is an apocalyptic number.

3402120220620 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 3402120220620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848544217600).

3402120220620 is an abundant number, since it is smaller than the sum of its proper divisors (8294968214580).

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

3402120220620 is a wasteful number, since it uses less digits than its factorization.

3402120220620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158169 (or 158167 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3402120220620 its reverse (260220212043), we get a palindrome (3662340432663).

The spelling of 3402120220620 in words is "three trillion, four hundred two billion, one hundred twenty million, two hundred twenty thousand, six hundred twenty".