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11233442142 = 23213199317761
BaseRepresentation
bin10100111011001000…
…01011100101011110
31001222212200222122200
422131210023211132
5141001230122032
65054403352330
7545242453116
oct123544134536
931885628580
1011233442142
114844a9238a
1222160826a6
1310a03c05b0
14787cba046
1545b30247c
hex29d90b95e

11233442142 has 96 divisors (see below), whose sum is σ = 26460907200. Its totient is φ = 3423720960.

The previous prime is 11233442141. The next prime is 11233442203. The reversal of 11233442142 is 24124433211.

11233442142 is a `hidden beast` number, since 1 + 1 + 233 + 4 + 421 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233442141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14761042 + ... + 14761802.

It is an arithmetic number, because the mean of its divisors is an integer number (275634450).

Almost surely, 211233442142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11233442142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13230453600).

11233442142 is an abundant number, since it is smaller than the sum of its proper divisors (15227465058).

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

11233442142 is a wasteful number, since it uses less digits than its factorization.

11233442142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1295 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 11233442142 its reverse (24124433211), we get a palindrome (35357875353).

The spelling of 11233442142 in words is "eleven billion, two hundred thirty-three million, four hundred forty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 199 234 317 398 597 634 761 951 1194 1522 1791 1902 2283 2587 2853 3582 4121 4566 5174 5706 6849 7761 8242 9893 12363 13698 15522 19786 23283 24726 29679 37089 46566 59358 63083 74178 89037 126166 151439 178074 189249 241237 302878 378498 454317 482474 567747 723711 820079 908634 1135494 1362951 1447422 1640158 1968707 2171133 2460237 2725902 3136081 3937414 4342266 4920474 5906121 6272162 7380711 9408243 11812242 14761422 17718363 18816486 28224729 35436726 48006163 56449458 96012326 144018489 288036978 432055467 624080119 864110934 1248160238 1872240357 3744480714 5616721071 11233442142