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233413424314332 = 22325096977504069
BaseRepresentation
bin110101000100100111001100…
…001111011111011111011100
31010121110002211212101021210120
4311010213030033133133130
5221043221143111024312
62144232351414034540
7100110364150656603
oct6504471417373734
91117402755337716
10233413424314332
1168411093a4a529
1222219103648a50
13a031a39b13702
14418d3accc8a3a
151beb9437c028c
hexd449cc3df7dc

233413424314332 has 24 divisors (see below), whose sum is σ = 544633500541200. Its totient is φ = 77804163751296.

The previous prime is 233413424314163. The next prime is 233413424314361.

233413424314332 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35740407 + ... + 41763662.

It is an arithmetic number, because the mean of its divisors is an integer number (22693062522550).

Almost surely, 2233413424314332 is an apocalyptic number.

It is an amenable number.

233413424314332 is an abundant number, since it is smaller than the sum of its proper divisors (311220076226868).

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

233413424314332 is a wasteful number, since it uses less digits than its factorization.

233413424314332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77755045 (or 77755043 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 42.

The spelling of 233413424314332 in words is "two hundred thirty-three trillion, four hundred thirteen billion, four hundred twenty-four million, three hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 250969 501938 752907 1003876 1505814 3011628 77504069 155008138 232512207 310016276 465024414 930048828 19451118692861 38902237385722 58353356078583 77804474771444 116706712157166 233413424314332