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12434304420 = 22325269256801
BaseRepresentation
bin10111001010010010…
…00110110110100100
31012002120100010000100
423211021012312210
5200431140220140
65413502144100
7620063562246
oct134511066644
935076303010
1012434304420
115300927a4a
1224b0282030
1312321273a5
1485d592096
154cb95d530
hex2e5246da4

12434304420 has 72 divisors (see below), whose sum is σ = 37857750840. Its totient is φ = 3303475200.

The previous prime is 12434304419. The next prime is 12434304427. The reversal of 12434304420 is 2440343421.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 191767104 + 12242537316 = 13848^2 + 110646^2 .

It is a super-2 number, since 2×124343044202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12434304427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79981 + ... + 176820.

It is an arithmetic number, because the mean of its divisors is an integer number (525802095).

Almost surely, 212434304420 is an apocalyptic number.

12434304420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434304420 is an abundant number, since it is smaller than the sum of its proper divisors (25423446420).

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

12434304420 is a wasteful number, since it uses less digits than its factorization.

12434304420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257085 (or 257080 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12434304420 its reverse (2440343421), we get a palindrome (14874647841).

The spelling of 12434304420 in words is "twelve billion, four hundred thirty-four million, three hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 538 807 1076 1345 1614 2421 2690 3228 4035 4842 5380 8070 9684 12105 16140 24210 48420 256801 513602 770403 1027204 1284005 1540806 2311209 2568010 3081612 3852015 4622418 5136020 7704030 9244836 11556045 15408060 23112090 46224180 69079469 138158938 207238407 276317876 345397345 414476814 621715221 690794690 828953628 1036192035 1243430442 1381589380 2072384070 2486860884 3108576105 4144768140 6217152210 12434304420