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22143240042 = 23721110876299
BaseRepresentation
bin10100100111110101…
…110000011101101010
32010011012102010212120
4110213311300131222
5330322132140132
614101130252110
71412505302100
oct244765603552
963135363776
1022143240042
119433310a90
12435b887036
13211b725001
141100bc9c70
15898ec502c
hex527d7076a

22143240042 has 96 divisors (see below), whose sum is σ = 56260915200. Its totient is φ = 5745287520.

The previous prime is 22143240023. The next prime is 22143240073. The reversal of 22143240042 is 24004234122.

It is a junction number, because it is equal to n+sod(n) for n = 22143239994 and 22143240021.

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, 3512209 + ... + 3518507.

It is an arithmetic number, because the mean of its divisors is an integer number (586051200).

Almost surely, 222143240042 is an apocalyptic number.

22143240042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22143240042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28130457600).

22143240042 is an abundant number, since it is smaller than the sum of its proper divisors (34117675158).

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

22143240042 is a wasteful number, since it uses less digits than its factorization.

22143240042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7416 (or 7409 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22143240042 its reverse (24004234122), we get a palindrome (46147474164).

The spelling of 22143240042 in words is "twenty-two billion, one hundred forty-three million, two hundred forty thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1087 1617 2174 3234 3261 6299 6522 7609 11957 12598 15218 18897 22827 23914 35871 37794 44093 45654 53263 69289 71742 83699 88186 106526 132279 138578 159789 167398 207867 251097 264558 308651 319578 415734 485023 502194 585893 617302 925953 970046 1171786 1455069 1757679 1851906 2910138 3395161 3515358 6790322 6847013 10185483 13694026 20370966 20541039 41082078 47929091 75317143 95858182 143787273 150634286 225951429 287574546 335503637 451902858 527220001 671007274 1006510911 1054440002 1581660003 2013021822 3163320006 3690540007 7381080014 11071620021 22143240042