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353114362432 = 2613424416301
BaseRepresentation
bin1010010001101110100…
…00011001001001000000
31020202110010222012110201
411020313100121021000
521241134234044212
6430115110134544
734340334362056
oct5106720311100
91222403865421
10353114362432
111268339409a7
1258529351454
13273b5b84a30
141313b3281d6
1592ba687b57
hex5237419240

353114362432 has 28 divisors (see below), whose sum is σ = 754612184956. Its totient is φ = 162975859200.

The previous prime is 353114362423. The next prime is 353114362439. The reversal of 353114362432 is 234263411353.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 102057247296 + 251057115136 = 319464^2 + 501056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 353114362391 and 353114362400.

It is not an unprimeable number, because it can be changed into a prime (353114362439) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212207319 + ... + 212208982.

It is an arithmetic number, because the mean of its divisors is an integer number (26950435177).

Almost surely, 2353114362432 is an apocalyptic number.

353114362432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

353114362432 is an abundant number, since it is smaller than the sum of its proper divisors (401497822524).

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

353114362432 is a wasteful number, since it uses less digits than its factorization.

353114362432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424416326 (or 424416316 counting only the distinct ones).

The product of its digits is 155520, while the sum is 37.

Adding to 353114362432 its reverse (234263411353), we get a palindrome (587377773785).

The spelling of 353114362432 in words is "three hundred fifty-three billion, one hundred fourteen million, three hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 424416301 848832602 1697665204 3395330408 5517411913 6790660816 11034823826 13581321632 22069647652 27162643264 44139295304 88278590608 176557181216 353114362432