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353035045000 = 23541121733373
BaseRepresentation
bin1010010001100101000…
…01110100100010001000
31020202020121201110102001
411020302201310202020
521241003432420000
6430103154120344
734335352240651
oct5106241644210
91222217643361
10353035045000
111267a3096600
12585068800b4
13273a2603241
141313099c528
1592b371b46a
hex5232874888

353035045000 has 240 divisors, whose sum is σ = 914720180220. Its totient is φ = 127596480000.

The previous prime is 353035044983. The next prime is 353035045037. The reversal of 353035045000 is 540530353.

It can be written as a sum of positive squares in 10 ways, for example, as 30290617764 + 322744427236 = 174042^2 + 568106^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 353035045000.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 104663314 + ... + 104666686.

Almost surely, 2353035045000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353035045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457360090110).

353035045000 is an abundant number, since it is smaller than the sum of its proper divisors (561685135220).

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

353035045000 is a wasteful number, since it uses less digits than its factorization.

353035045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 28.

Adding to 353035045000 its reverse (540530353), we get a palindrome (353575575353).

The spelling of 353035045000 in words is "three hundred fifty-three billion, thirty-five million, forty-five thousand".