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4112214131142 = 23213149451726111
BaseRepresentation
bin111011110101110011000…
…100000000000111000110
3112120010100021101012020100
4323311303010000013012
51014333303304144032
612425043004144530
7603045333246315
oct73656304000706
915503307335210
104112214131142
111345a86743227
12564b84238146
1323aa1ac33cc0
141030645dc27c
1571e7c66197c
hex3bd731001c6

4112214131142 has 96 divisors (see below), whose sum is σ = 9662071910400. Its totient is φ = 1256478370560.

The previous prime is 4112214131093. The next prime is 4112214131159. The reversal of 4112214131142 is 2411314122114.

4112214131142 is a `hidden beast` number, since 4 + 11 + 221 + 413 + 1 + 14 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 157476667 + ... + 157502777.

It is an arithmetic number, because the mean of its divisors is an integer number (100646582400).

Almost surely, 24112214131142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112214131142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831035955200).

4112214131142 is an abundant number, since it is smaller than the sum of its proper divisors (5549857779258).

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

4112214131142 is a wasteful number, since it uses less digits than its factorization.

4112214131142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30798 (or 30795 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 4112214131142 its reverse (2411314122114), we get a palindrome (6523528253256).

The spelling of 4112214131142 in words is "four trillion, one hundred twelve billion, two hundred fourteen million, one hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 234 298 447 894 1341 1937 2682 3874 4517 5811 9034 11622 13551 17433 26111 27102 34866 40653 52222 58721 78333 81306 117442 156666 176163 234999 339443 352326 469998 528489 673033 678886 1018329 1056978 1346066 2019099 2036658 3054987 3890539 4038198 6057297 6109974 7781078 8749429 11671617 12114594 17498858 23343234 26248287 35014851 50577007 52496574 70029702 78744861 101154014 117943387 151731021 157489722 235886774 303462042 353830161 455193063 707660322 910386126 1061490483 1533264031 2122980966 3066528062 4599792093 9199584186 13799376279 17573564663 27598752558 35147129326 52720693989 105441387978 158162081967 228456340619 316324163934 456912681238 685369021857 1370738043714 2056107065571 4112214131142