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414102010304 = 2610164062811
BaseRepresentation
bin1100000011010100110…
…01110011100111000000
31110120212110222201101202
412001222121303213000
523241040103312204
6514122535120332
741626556003453
oct6015231634700
91416773881352
10414102010304
1114a68a875474
1268309b130a8
1330085115a38
141608503149a
15ab8997be1e
hex606a6739c0

414102010304 has 28 divisors (see below), whose sum is σ = 829869666648. Its totient is φ = 205000992000.

The previous prime is 414102010249. The next prime is 414102010363. The reversal of 414102010304 is 403010201414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32024942 + ... + 32037869.

Almost surely, 2414102010304 is an apocalyptic number.

It is an amenable number.

414102010304 is an abundant number, since it is smaller than the sum of its proper divisors (415767656344).

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

414102010304 is a wasteful number, since it uses less digits than its factorization.

414102010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64062924 (or 64062914 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 414102010304 its reverse (403010201414), we get a palindrome (817112211718).

The spelling of 414102010304 in words is "four hundred fourteen billion, one hundred two million, ten thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 3232 6464 64062811 128125622 256251244 512502488 1025004976 2050009952 4100019904 6470343911 12940687822 25881375644 51762751288 103525502576 207051005152 414102010304