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12341117214540 = 2232568561762303
BaseRepresentation
bin1011001110010110001111…
…1010000101111101001100
31121200210120200022001021100
42303211203322011331030
53104144102001331130
642125233031503100
72412421250340042
oct263454372057514
947623520261240
1012341117214540
113a28924a31a44
12147395b227a90
136b69bab9b02a
1430945582c392
1516604a1ecc60
hexb3963e85f4c

12341117214540 has 36 divisors (see below), whose sum is σ = 37434722217984. Its totient is φ = 3290964590496.

The previous prime is 12341117214533. The next prime is 12341117214683. The reversal of 12341117214540 is 4541271114321.

12341117214540 is a `hidden beast` number, since 1 + 2 + 3 + 41 + 1 + 1 + 72 + 1 + 4 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 12341117214495 and 12341117214504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34280880972 + ... + 34280881331.

It is an arithmetic number, because the mean of its divisors is an integer number (1039853394944).

Almost surely, 212341117214540 is an apocalyptic number.

12341117214540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12341117214540 is an abundant number, since it is smaller than the sum of its proper divisors (25093605003444).

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

12341117214540 is a wasteful number, since it uses less digits than its factorization.

12341117214540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68561762318 (or 68561762313 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 12341117214540 its reverse (4541271114321), we get a palindrome (16882388328861).

The spelling of 12341117214540 in words is "twelve trillion, three hundred forty-one billion, one hundred seventeen million, two hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 68561762303 137123524606 205685286909 274247049212 342808811515 411370573818 617055860727 685617623030 822741147636 1028426434545 1234111721454 1371235246060 2056852869090 2468223442908 3085279303635 4113705738180 6170558607270 12341117214540