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12434134111425 = 32521320692054609
BaseRepresentation
bin1011010011110000110000…
…1001011001010011000001
31122000200200011222222220100
42310330030021121103001
53112210101313031200
642240055022433013
72422223302042245
oct264741411312301
948020604888810
1012434134111425
113a64317604344
12148999a432769
136c26c2a3c6a0
1430db5b290425
15168691359d00
hexb4f0c2594c1

12434134111425 has 72 divisors (see below), whose sum is σ = 23995666913400. Its totient is φ = 6118458255360.

The previous prime is 12434134111423. The next prime is 12434134111429. The reversal of 12434134111425 is 52411143143421.

12434134111425 is a `hidden beast` number, since 1 + 243 + 41 + 341 + 1 + 14 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6648646779009 + 5785487332416 = 2578497^2 + 2405304^2 .

It is not a de Polignac number, because 12434134111425 - 21 = 12434134111423 is a prime.

It is a super-2 number, since 2×124341341114252 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12434134111425.

It is not an unprimeable number, because it can be changed into a prime (12434134111423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5024521 + ... + 7079129.

It is an arithmetic number, because the mean of its divisors is an integer number (333273151575).

Almost surely, 212434134111425 is an apocalyptic number.

12434134111425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12434134111425 is a deficient number, since it is larger than the sum of its proper divisors (11561532801975).

12434134111425 is a wasteful number, since it uses less digits than its factorization.

12434134111425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056707 (or 2056699 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 12434134111425 its reverse (52411143143421), we get a palindrome (64845277254846).

The spelling of 12434134111425 in words is "twelve trillion, four hundred thirty-four billion, one hundred thirty-four million, one hundred eleven thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2069 2925 6207 10345 18621 26897 31035 51725 80691 93105 134485 155175 242073 403455 465525 672425 1210365 2017275 2054609 6051825 6163827 10273045 18491481 26709917 30819135 51365225 80129751 92457405 133549585 154095675 240389253 400648755 462287025 667747925 1201946265 2003243775 4250986021 6009731325 12752958063 21254930105 38258874189 55262818273 63764790315 106274650525 165788454819 191294370945 276314091365 318823951575 497365364457 828942274095 956471854725 1381570456825 2486826822285 4144711370475 12434134111425