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414314024034 = 232292617115223
BaseRepresentation
bin1100000011101110000…
…10100100110001100010
31110121102020221010120010
412001313002210301202
523242003342232114
6514155551225350
741635042045341
oct6016702446142
91417366833503
10414314024034
1114a789513529
1268368b18256
13300ba018351
14160a525db58
15ab9d3aac59
hex60770a4c62

414314024034 has 32 divisors (see below), whose sum is σ = 832571752320. Its totient is φ = 137447862912.

The previous prime is 414314024021. The next prime is 414314024071. The reversal of 414314024034 is 430420413414.

It is a super-2 number, since 2×4143140240342 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414314023992 and 414314024010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3538147 + ... + 3653369.

It is an arithmetic number, because the mean of its divisors is an integer number (26017867260).

Almost surely, 2414314024034 is an apocalyptic number.

414314024034 is an abundant number, since it is smaller than the sum of its proper divisors (418257728286).

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

414314024034 is a wasteful number, since it uses less digits than its factorization.

414314024034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118074.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 414314024034 its reverse (430420413414), we get a palindrome (844734437448).

The spelling of 414314024034 in words is "four hundred fourteen billion, three hundred fourteen million, twenty-four thousand, thirty-four".

Divisors: 1 2 3 6 229 458 687 1374 2617 5234 7851 15702 115223 230446 345669 599293 691338 1198586 1797879 3595758 26386067 52772134 79158201 158316402 301538591 603077182 904615773 1809231546 69052337339 138104674678 207157012017 414314024034