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4493540142 = 23271316716427
BaseRepresentation
bin1000010111101010…
…11111101100101110
3102121011101111020200
410023311133230232
533200321241032
62021520054330
7216232314060
oct41365375456
912534344220
104493540142
1119a6539243
12a54a643a6
13567c543c0
14308b07730
151b476447c
hex10bd5fb2e

4493540142 has 96 divisors (see below), whose sum is σ = 12055260672. Its totient is φ = 1177941312.

The previous prime is 4493540083. The next prime is 4493540143. The reversal of 4493540142 is 2410453944.

4493540142 is a `hidden beast` number, since 449 + 35 + 40 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4493540097 and 4493540106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4493540143) 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, 265333 + ... + 281759.

It is an arithmetic number, because the mean of its divisors is an integer number (125575632).

Almost surely, 24493540142 is an apocalyptic number.

4493540142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4493540142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027630336).

4493540142 is an abundant number, since it is smaller than the sum of its proper divisors (7561720530).

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

4493540142 is a wasteful number, since it uses less digits than its factorization.

4493540142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16622 (or 16619 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4493540142 is about 67033.8730941306. The cubic root of 4493540142 is about 1650.1732468226.

The spelling of 4493540142 in words is "four billion, four hundred ninety-three million, five hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 167 182 234 273 334 501 546 819 1002 1169 1503 1638 2171 2338 3006 3507 4342 6513 7014 10521 13026 15197 16427 19539 21042 30394 32854 39078 45591 49281 91182 98562 114989 136773 147843 213551 229978 273546 295686 344967 427102 640653 689934 1034901 1281306 1494857 1921959 2069802 2743309 2989714 3843918 4484571 5486618 8229927 8969142 13453713 16459854 19203163 24689781 26907426 35663017 38406326 49379562 57609489 71326034 106989051 115218978 172828467 213978102 249641119 320967153 345656934 499282238 641934306 748923357 1497846714 2246770071 4493540142