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14242131114340 = 2252976993189427
BaseRepresentation
bin1100111101000000000100…
…1010100111100101100100
31212102112102121100000001011
43033100001022213211210
53331320341031124330
650142424505112004
72666650200021523
oct317200112474544
955375377300034
1014242131114340
1145a10657a4648
121720278a88604
137c40479b877c
14373473b864ba
1519a70ceba82a
hexcf4012a7964

14242131114340 has 48 divisors (see below), whose sum is σ = 30943830456000. Its totient is φ = 5499693101952.

The previous prime is 14242131114331. The next prime is 14242131114349. The reversal of 14242131114340 is 4341113124241.

It is an interprime number because it is at equal distance from previous prime (14242131114331) and next prime (14242131114349).

It is not an unprimeable number, because it can be changed into a prime (14242131114349) 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 15 ways as a sum of consecutive naturals, for example, 2870707 + ... + 6060133.

It is an arithmetic number, because the mean of its divisors is an integer number (644663134500).

Almost surely, 214242131114340 is an apocalyptic number.

14242131114340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14242131114340 is an abundant number, since it is smaller than the sum of its proper divisors (16701699341660).

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

14242131114340 is a wasteful number, since it uses less digits than its factorization.

14242131114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197164 (or 3197162 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 14242131114340 its reverse (4341113124241), we get a palindrome (18583244238581).

The spelling of 14242131114340 in words is "fourteen trillion, two hundred forty-two billion, one hundred thirty-one million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 7699 15398 30796 38495 76990 153980 223271 446542 893084 1116355 2232710 3189427 4465420 6378854 12757708 15947135 31894270 63788540 92493383 184986766 369973532 462466915 924933830 1849867660 24555398473 49110796946 98221593892 122776992365 245553984730 491107969460 712106555717 1424213111434 2848426222868 3560532778585 7121065557170 14242131114340