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12434412420 = 22325127954011
BaseRepresentation
bin10111001010010011…
…00001001110000100
31012002120112121011100
423211021201032010
5200431202144140
65413504340100
7620064522153
oct134511411604
935076477140
1012434412420
1153009a1101
1224b0314630
1312321645b1
1485d5bd59a
154cb980530
hex2e5261384

12434412420 has 72 divisors (see below), whose sum is σ = 37747906560. Its totient is φ = 3313189440.

The previous prime is 12434412413. The next prime is 12434412433. The reversal of 12434412420 is 2421443421.

12434412420 is a `hidden beast` number, since 1 + 243 + 4 + 412 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×124344124202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203215 + ... + 257225.

It is an arithmetic number, because the mean of its divisors is an integer number (524276480).

Almost surely, 212434412420 is an apocalyptic number.

12434412420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434412420 is an abundant number, since it is smaller than the sum of its proper divisors (25313494140).

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

12434412420 is a wasteful number, since it uses less digits than its factorization.

12434412420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55305 (or 55300 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12434412420 its reverse (2421443421), we get a palindrome (14855855841).

The spelling of 12434412420 in words is "twelve billion, four hundred thirty-four million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1279 2558 3837 5116 6395 7674 11511 12790 15348 19185 23022 25580 38370 46044 54011 57555 76740 108022 115110 162033 216044 230220 270055 324066 486099 540110 648132 810165 972198 1080220 1620330 1944396 2430495 3240660 4860990 9721980 69080069 138160138 207240207 276320276 345400345 414480414 621720621 690800690 828960828 1036201035 1243441242 1381601380 2072402070 2486882484 3108603105 4144804140 6217206210 12434412420