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4042144423400 = 235220210722117
BaseRepresentation
bin111010110100100010100…
…101010001110111101000
3112022102110222212020022112
4322310202211101313220
51012211302433022100
612332534023141452
7565015051461146
oct72644245216750
915272428766275
104042144423400
11131929a16a756
12553489ba4888
13234232220b85
14dd8d863c596
157022ad81b35
hex3ad22951de8

4042144423400 has 24 divisors (see below), whose sum is σ = 9397985784870. Its totient is φ = 1616857769280.

The previous prime is 4042144423357. The next prime is 4042144423439. The reversal of 4042144423400 is 43244412404.

4042144423400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3953265311524 + 88879111876 = 1988282^2 + 298126^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10105360859 + ... + 10105361258.

Almost surely, 24042144423400 is an apocalyptic number.

4042144423400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042144423400 is an abundant number, since it is smaller than the sum of its proper divisors (5355841361470).

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

4042144423400 is a wasteful number, since it uses less digits than its factorization.

4042144423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20210722133 (or 20210722124 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4042144423400 its reverse (43244412404), we get a palindrome (4085388835804).

The spelling of 4042144423400 in words is "four trillion, forty-two billion, one hundred forty-four million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 20210722117 40421444234 80842888468 101053610585 161685776936 202107221170 404214442340 505268052925 808428884680 1010536105850 2021072211700 4042144423400