Search a number
-
+
2042024522000 = 24531021012261
BaseRepresentation
bin11101101101110010001…
…001010111000100010000
321020012211012101202112212
4131231302021113010100
5231424031234201000
64202032040211252
7300350162022251
oct35556211270420
97205735352485
102042024522000
11718021675201
1228b911a69b28
1311a73cb98738
1470b97c9ab28
15381b75bcc35
hex1db72257110

2042024522000 has 40 divisors (see below), whose sum is σ = 4937615299032. Its totient is φ = 816809808000.

The previous prime is 2042024521991. The next prime is 2042024522029. The reversal of 2042024522000 is 2254202402.

It can be written as a sum of positive squares in 4 ways, for example, as 412122913024 + 1629901608976 = 641968^2 + 1276676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 510504131 + ... + 510508130.

Almost surely, 22042024522000 is an apocalyptic number.

2042024522000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042024522000 is an abundant number, since it is smaller than the sum of its proper divisors (2895590777032).

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

2042024522000 is a wasteful number, since it uses less digits than its factorization.

2042024522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021012284 (or 1021012268 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

Adding to 2042024522000 its reverse (2254202402), we get a palindrome (2044278724402).

The spelling of 2042024522000 in words is "two trillion, forty-two billion, twenty-four million, five hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1021012261 2042024522 4084049044 5105061305 8168098088 10210122610 16336196176 20420245220 25525306525 40840490440 51050613050 81680980880 102101226100 127626532625 204202452200 255253065250 408404904400 510506130500 1021012261000 2042024522000