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2042240004040 = 235106162477703
BaseRepresentation
bin11101101101111110111…
…111010110111111001000
321020020101012212101100011
4131231332333112333020
5231430001420112130
64202105254521304
7300355416420625
oct35557677267710
97206335771304
102042240004040
11718122272035
1228b972066234
1311a7757138c2
1470bb874d34c
15381cb48452a
hex1db7efd6fc8

2042240004040 has 64 divisors (see below), whose sum is σ = 4600704303360. Its totient is φ = 815889496320.

The previous prime is 2042240004029. The next prime is 2042240004059. The reversal of 2042240004040 is 404000422402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265118829 + ... + 265126531.

It is an arithmetic number, because the mean of its divisors is an integer number (71886004740).

Almost surely, 22042240004040 is an apocalyptic number.

2042240004040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042240004040 is an abundant number, since it is smaller than the sum of its proper divisors (2558464299320).

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

2042240004040 is a wasteful number, since it uses less digits than its factorization.

2042240004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15022 (or 15018 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2042240004040 its reverse (404000422402), we get a palindrome (2446240426442).

The spelling of 2042240004040 in words is "two trillion, forty-two billion, two hundred forty million, four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1061 2122 4244 5305 6247 7703 8488 10610 12494 15406 21220 24988 30812 31235 38515 42440 49976 61624 62470 77030 124940 154060 249880 308120 6628067 8172883 13256134 16345766 26512268 32691532 33140335 40864415 48120641 53024536 65383064 66280670 81728830 96241282 132561340 163457660 192482564 240603205 265122680 326915320 384965128 481206410 962412820 1924825640 51056000101 102112000202 204224000404 255280000505 408448000808 510560001010 1021120002020 2042240004040