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2434034332314 = 2321383401124721
BaseRepresentation
bin100011011010110111110…
…000000111001010011010
322121200200001000102212100
4203122313300013022122
5304334400242113224
65102102511024230
7340565432312514
oct43326760071232
98550601012770
102434034332314
118592a4a1a852
1233389520b076
131486b401a090
1485b44bcabb4
15434ac7a7ac9
hex236b7c0729a

2434034332314 has 48 divisors (see below), whose sum is σ = 5679527077224. Its totient is φ = 748918656000.

The previous prime is 2434034332273. The next prime is 2434034332339. The reversal of 2434034332314 is 4132334304342.

2434034332314 is a `hidden beast` number, since 2 + 4 + 3 + 4 + 0 + 3 + 4 + 332 + 314 = 666.

2434034332314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1073020441689 + 1361013890625 = 1035867^2 + 1166625^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19453474 + ... + 19578194.

Almost surely, 22434034332314 is an apocalyptic number.

2434034332314 is an abundant number, since it is smaller than the sum of its proper divisors (3245492744910).

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

2434034332314 is a wasteful number, since it uses less digits than its factorization.

2434034332314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208143 (or 208140 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 2434034332314 its reverse (4132334304342), we get a palindrome (6566368636656).

The spelling of 2434034332314 in words is "two trillion, four hundred thirty-four billion, thirty-four million, three hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 83401 124721 166802 249442 250203 374163 500406 748326 750609 1084213 1122489 1501218 1621373 2168426 2244978 3242746 3252639 4864119 6505278 9728238 9757917 14592357 19515834 29184714 10401856121 20803712242 31205568363 62411136726 93616705089 135224129573 187233410178 270448259146 405672388719 811344777438 1217017166157 2434034332314