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123414422123664 = 24327122434942583
BaseRepresentation
bin11100000011111010101000…
…110010100111010010010000
3121011222022012021101110202200
4130003322220302213102100
5112134010214030424124
61114251445224443200
734665253300315110
oct3403725062472220
9534868167343680
10123414422123664
1136361842977251
1211a12660319500
1353b2c12493299
14226940b6c5040
15e4045b9a9bc9
hex703ea8ca7490

123414422123664 has 60 divisors (see below), whose sum is σ = 394730254890816. Its totient is φ = 35261263463616.

The previous prime is 123414422123623. The next prime is 123414422123701. The reversal of 123414422123664 is 466321224414321.

123414422123664 is a `hidden beast` number, since 1 + 2 + 3 + 41 + 4 + 422 + 123 + 6 + 64 = 666.

It is a super-2 number, since 2×1234144221236642 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61217470284 + ... + 61217472299.

Almost surely, 2123414422123664 is an apocalyptic number.

123414422123664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

123414422123664 is an abundant number, since it is smaller than the sum of its proper divisors (271315832767152).

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

123414422123664 is a wasteful number, since it uses less digits than its factorization.

123414422123664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122434942604 (or 122434942595 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

Adding to 123414422123664 its reverse (466321224414321), we get a palindrome (589735646537985).

The spelling of 123414422123664 in words is "one hundred twenty-three trillion, four hundred fourteen billion, four hundred twenty-two million, one hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 122434942583 244869885166 367304827749 489739770332 734609655498 857044598081 979479540664 1101914483247 1469219310996 1714089196162 1958959081328 2203828966494 2571133794243 2938438621992 3428178392324 4407657932988 5142267588486 5876877243984 6856356784648 7713401382729 8815315865976 10284535176972 13712713569296 15426802765458 17630631731952 20569070353944 30853605530916 41138140707888 61707211061832 123414422123664