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12434413320 = 2332574934291
BaseRepresentation
bin10111001010010011…
…00001011100001000
31012002120112122101200
423211021201130020
5200431202211240
65413504344200
7620064524610
oct134511413410
935076478350
1012434413320
1153009a184a
1224b0315060
131232164b24
1485d5bda40
154cb980930
hex2e5261708

12434413320 has 96 divisors (see below), whose sum is σ = 46184973120. Its totient is φ = 2842151040.

The previous prime is 12434413319. The next prime is 12434413349. The reversal of 12434413320 is 2331443421.

12434413320 is a `hidden beast` number, since 1 + 243 + 4 + 413 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×124344133202 (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, 2464626 + ... + 2469665.

It is an arithmetic number, because the mean of its divisors is an integer number (481093470).

Almost surely, 212434413320 is an apocalyptic number.

12434413320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434413320 is an abundant number, since it is smaller than the sum of its proper divisors (33750559800).

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

12434413320 is a wasteful number, since it uses less digits than its factorization.

12434413320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4934315 (or 4934308 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12434413320 its reverse (2331443421), we get a palindrome (14765856741).

The spelling of 12434413320 in words is "twelve billion, four hundred thirty-four million, four hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 4934291 9868582 14802873 19737164 24671455 29605746 34540037 39474328 44408619 49342910 59211492 69080074 74014365 88817238 98685820 103620111 118422984 138160148 148028730 172700185 177634476 197371640 207240222 222043095 276320296 296057460 310860333 345400370 355268952 414480444 444086190 518100555 592114920 621720666 690800740 828960888 888172380 1036201110 1243441332 1381601480 1554301665 1776344760 2072402220 2486882664 3108603330 4144804440 6217206660 12434413320