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414202414404 = 2232910111784523
BaseRepresentation
bin1100000011100000110…
…00110100010101000100
31110121010110220202221010
412001300120310111010
523241241304230104
6514140523122220
741632215301002
oct6016030642504
91417113822833
10414202414404
1114a731512569
1268337673370
133009cb6b44c
14160944c9a72
15ab936b1489
hex6070634544

414202414404 has 48 divisors (see below), whose sum is σ = 1009698016320. Its totient is φ = 131986646400.

The previous prime is 414202414403. The next prime is 414202414469. The reversal of 414202414404 is 404414202414.

It is not an unprimeable number, because it can be changed into a prime (414202414403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5857114 + ... + 5927409.

It is an arithmetic number, because the mean of its divisors is an integer number (21035375340).

Almost surely, 2414202414404 is an apocalyptic number.

It is an amenable number.

414202414404 is an abundant number, since it is smaller than the sum of its proper divisors (595495601916).

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

414202414404 is a wasteful number, since it uses less digits than its factorization.

414202414404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11784660 (or 11784658 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 414202414404 its reverse (404414202414), we get a palindrome (818616616818).

The spelling of 414202414404 in words is "four hundred fourteen billion, two hundred two million, four hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 12 29 58 87 101 116 174 202 303 348 404 606 1212 2929 5858 8787 11716 17574 35148 11784523 23569046 35353569 47138092 70707138 141414276 341751167 683502334 1025253501 1190236823 1367004668 2050507002 2380473646 3570710469 4101014004 4760947292 7141420938 14282841876 34516867867 69033735734 103550603601 138067471468 207101207202 414202414404