Search a number
-
+
12243424132440 = 2332591873701917
BaseRepresentation
bin1011001000101010010011…
…1100100011110101011000
31121100110102021112021110100
42302022210330203311120
53101044013034214230
642012315034015400
72402362315004514
oct262124474436530
947313367467410
1012243424132440
1139a0452812466
121458a35b77560
136aa71c2b6487
14304828d1b144
1516372d79e660
hexb22a4f23d58

12243424132440 has 96 divisors (see below), whose sum is σ = 39795470423280. Its totient is φ = 3264556836096.

The previous prime is 12243424132427. The next prime is 12243424132481. The reversal of 12243424132440 is 4423142434221.

12243424132440 is a `hidden beast` number, since 1 + 2 + 2 + 43 + 42 + 4 + 132 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12243424132395 and 12243424132404.

It is a congruent number.

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, 1456362 + ... + 5158278.

Almost surely, 212243424132440 is an apocalyptic number.

12243424132440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12243424132440 is an abundant number, since it is smaller than the sum of its proper divisors (27552046290840).

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

12243424132440 is a wasteful number, since it uses less digits than its factorization.

12243424132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711121 (or 3711114 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 12243424132440 its reverse (4423142434221), we get a palindrome (16666566566661).

The spelling of 12243424132440 in words is "twelve trillion, two hundred forty-three billion, four hundred twenty-four million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9187 18374 27561 36748 45935 55122 73496 82683 91870 110244 137805 165366 183740 220488 275610 330732 367480 413415 551220 661464 826830 1102440 1653660 3307320 3701917 7403834 11105751 14807668 18509585 22211502 29615336 33317253 37019170 44423004 55528755 66634506 74038340 88846008 111057510 133269012 148076680 166586265 222115020 266538024 333172530 444230040 666345060 1332690120 34009511479 68019022958 102028534437 136038045916 170047557395 204057068874 272076091832 306085603311 340095114790 408114137748 510142672185 612171206622 680190229580 816228275496 1020285344370 1224342413244 1360380459160 1530428016555 2040570688740 2448684826488 3060856033110 4081141377480 6121712066220 12243424132440