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4226414118080 = 2657111947401479
BaseRepresentation
bin111101100000001001111…
…010011000010011000000
3112222001010001210121120012
4331200021322120103000
51023221144003234310
612553330550204052
7614230324154540
oct75401172302300
915861101717505
104226414118080
11138a459650720
12583135653628
1324871a60397b
141087b9513320
1574e13334c05
hex3d809e984c0

4226414118080 has 896 divisors, whose sum is σ = 13550793523200. Its totient is φ = 1215848448000.

The previous prime is 4226414118053. The next prime is 4226414118161. The reversal of 4226414118080 is 808114146224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8823411281 + ... + 8823411759.

Almost surely, 24226414118080 is an apocalyptic number.

4226414118080 is a gapful number since it is divisible by the number (40) 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 4226414118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6775396761600).

4226414118080 is an abundant number, since it is smaller than the sum of its proper divisors (9324379405120).

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

4226414118080 is a wasteful number, since it uses less digits than its factorization.

4226414118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The spelling of 4226414118080 in words is "four trillion, two hundred twenty-six billion, four hundred fourteen million, one hundred eighteen thousand, eighty".