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402014243310440 = 2351719434715396167
BaseRepresentation
bin101101101101000010011110…
…0001010101100101101101000
31221201102012000211102002212012
41123122010330022230231220
5410143100132241413230
63543002443243335052
7150451366500366665
oct13332047412545550
91851365024362765
10402014243310440
1110710431294a422
1239109078821488
1314341a1b930867
14713b843a28a6c
1531724a67a1395
hex16da13c2acb68

402014243310440 has 256 divisors, whose sum is σ = 1053541300838400. Its totient is φ = 137066769616896.

The previous prime is 402014243310431. The next prime is 402014243310443. The reversal of 402014243310440 is 44013342410204.

It is a junction number, because it is equal to n+sod(n) for n = 402014243310397 and 402014243310406.

It is not an unprimeable number, because it can be changed into a prime (402014243310443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18413237 + ... + 33809403.

It is an arithmetic number, because the mean of its divisors is an integer number (4115395706400).

Almost surely, 2402014243310440 is an apocalyptic number.

402014243310440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402014243310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526770650419200).

402014243310440 is an abundant number, since it is smaller than the sum of its proper divisors (651527057527960).

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

402014243310440 is a wasteful number, since it uses less digits than its factorization.

402014243310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15396304 (or 15396300 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 402014243310440 its reverse (44013342410204), we get a palindrome (446027585720644).

The spelling of 402014243310440 in words is "four hundred two trillion, fourteen billion, two hundred forty-three million, three hundred ten thousand, four hundred forty".