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353341422720 = 273351113142993
BaseRepresentation
bin1010010010001001100…
…10100011110010000000
31020210000222020001122000
411021010302203302000
521242120401011340
6430153420544000
734346062352316
oct5110462436200
91223028201560
10353341422720
11126940026730
12585913b2000
1327420c24c30
141315d5520b6
1592d0589d30
hex5244ca3c80

353341422720 has 512 divisors, whose sum is σ = 1470207110400. Its totient is φ = 79068856320.

The previous prime is 353341422713. The next prime is 353341422743. The reversal of 353341422720 is 27224143353.

353341422720 is a `hidden beast` number, since 3 + 5 + 3 + 341 + 42 + 272 + 0 = 666.

It is a super-2 number, since 2×3533414227202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2399544 + ... + 2542536.

Almost surely, 2353341422720 is an apocalyptic number.

353341422720 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 353341422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735103555200).

353341422720 is an abundant number, since it is smaller than the sum of its proper divisors (1116865687680).

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

353341422720 is a wasteful number, since it uses less digits than its factorization.

353341422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143045 (or 143027 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 353341422720 in words is "three hundred fifty-three billion, three hundred forty-one million, four hundred twenty-two thousand, seven hundred twenty".