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2430202020342 = 238910145058813
BaseRepresentation
bin100011010111010011010…
…101000000000111110110
322121022202221211211010220
4203113103111000013312
5304304023204122332
65100230331155210
7340401446225355
oct43272325000766
98538687754126
102430202020342
1185770875a078
12332ba58a5b06
1314822307b565
148589dc4799c
1543336107d2c
hex235d35401f6

2430202020342 has 32 divisors (see below), whose sum is σ = 4963678950240. Its totient is φ = 793035091200.

The previous prime is 2430202020331. The next prime is 2430202020349.

It is a happy number.

2430202020342 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430202020349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22475473 + ... + 22583340.

It is an arithmetic number, because the mean of its divisors is an integer number (155114967195).

Almost surely, 22430202020342 is an apocalyptic number.

2430202020342 is an abundant number, since it is smaller than the sum of its proper divisors (2533476929898).

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

2430202020342 is a wasteful number, since it uses less digits than its factorization.

2430202020342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45059008.

The product of its (nonzero) digits is 4608, while the sum is 24.

The spelling of 2430202020342 in words is "two trillion, four hundred thirty billion, two hundred two million, twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 89 101 178 202 267 303 534 606 8989 17978 26967 53934 45058813 90117626 135176439 270352878 4010234357 4550940113 8020468714 9101880226 12030703071 13652820339 24061406142 27305640678 405033670057 810067340114 1215101010171 2430202020342