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2414204104 = 2313167229607
BaseRepresentation
bin1000111111100101…
…1101010011001000
320020020202021102211
42033321131103020
514421014012404
61035320434504
7113553252634
oct21771352310
96206667384
102414204104
111029834304
12574618a34
132c621cc50
1418c8b9dc4
15e1e2eb04
hex8fe5d4c8

2414204104 has 64 divisors (see below), whose sum is σ = 4933555200. Its totient is φ = 1100922624.

The previous prime is 2414204077. The next prime is 2414204123. The reversal of 2414204104 is 4014024142.

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 15 ways as a sum of consecutive naturals, for example, 3976969 + ... + 3977575.

It is an arithmetic number, because the mean of its divisors is an integer number (77086800).

Almost surely, 22414204104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414204104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466777600).

2414204104 is an abundant number, since it is smaller than the sum of its proper divisors (2519351096).

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

2414204104 is a wasteful number, since it uses less digits than its factorization.

2414204104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2414204104 is about 49134.5510206413. The cubic root of 2414204104 is about 1341.5020107199.

Adding to 2414204104 its reverse (4014024142), we get a palindrome (6428228246).

The spelling of 2414204104 in words is "two billion, four hundred fourteen million, two hundred four thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 104 167 229 334 458 607 668 916 1214 1336 1832 2171 2428 2977 4342 4856 5954 7891 8684 11908 15782 17368 23816 31564 38243 63128 76486 101369 139003 152972 202738 278006 305944 405476 497159 556012 810952 994318 1112024 1317797 1807039 1988636 2635594 3614078 3977272 5271188 7228156 10542376 14456312 23213501 46427002 92854004 185708008 301775513 603551026 1207102052 2414204104