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12333242014140 = 22354991999206069
BaseRepresentation
bin1011001101111000111010…
…0000100101100110111100
31121200001020211201102020110
42303132032200211212330
53104031434423423030
642121451350550020
72412022143261105
oct263361640454674
947601224642213
1012333242014140
113a25553654363
121472321968310
136b6034472638
14308d0996d3ac
15165c38b551b0
hexb378e8259bc

12333242014140 has 96 divisors (see below), whose sum is σ = 34619760000000. Its totient is φ = 3280615748352.

The previous prime is 12333242014123. The next prime is 12333242014253. The reversal of 12333242014140 is 4141024233321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12333242014098 and 12333242014107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59747026 + ... + 59953094.

It is an arithmetic number, because the mean of its divisors is an integer number (360622500000).

Almost surely, 212333242014140 is an apocalyptic number.

12333242014140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333242014140 is an abundant number, since it is smaller than the sum of its proper divisors (22286517985860).

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

12333242014140 is a wasteful number, since it uses less digits than its factorization.

12333242014140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208579 (or 208577 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12333242014140 its reverse (4141024233321), we get a palindrome (16474266247461).

The spelling of 12333242014140 in words is "twelve trillion, three hundred thirty-three billion, two hundred forty-two million, fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 499 998 1497 1996 1999 2495 2994 3998 4990 5988 5997 7485 7996 9980 9995 11994 14970 19990 23988 29940 29985 39980 59970 119940 206069 412138 618207 824276 997501 1030345 1236414 1995002 2060690 2472828 2992503 3091035 3990004 4121380 4987505 5985006 6182070 9975010 11970012 12364140 14962515 19950020 29925030 59850060 102828431 205656862 308485293 411313724 411931931 514142155 616970586 823863862 1028284310 1233941172 1235795793 1542426465 1647727724 2056568620 2059659655 2471591586 3084852930 4119319310 4943183172 6169705860 6178978965 8238638620 12357957930 24715915860 205554033569 411108067138 616662100707 822216134276 1027770167845 1233324201414 2055540335690 2466648402828 3083310503535 4111080671380 6166621007070 12333242014140