Search a number
-
+
2042144020 = 225714586743
BaseRepresentation
bin111100110111000…
…1010010100010100
312021022122122221201
41321232022110110
513140242102040
6534350122244
7101414636440
oct17156122424
95238578851
102042144020
11958812034
1248bab0384
13267111a57
14155309820
15be439a9a
hex79b8a514

2042144020 has 24 divisors (see below), whose sum is σ = 4901145984. Its totient is φ = 700163616.

The previous prime is 2042144009. The next prime is 2042144029. The reversal of 2042144020 is 204412402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042144029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7293232 + ... + 7293511.

It is an arithmetic number, because the mean of its divisors is an integer number (204214416).

Almost surely, 22042144020 is an apocalyptic number.

2042144020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042144020 is an abundant number, since it is smaller than the sum of its proper divisors (2859001964).

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

2042144020 is a wasteful number, since it uses less digits than its factorization.

2042144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14586759 (or 14586757 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2042144020 is about 45190.0876299217. The cubic root of 2042144020 is about 1268.7092969219.

Adding to 2042144020 its reverse (204412402), we get a palindrome (2246556422).

The spelling of 2042144020 in words is "two billion, forty-two million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 14586743 29173486 58346972 72933715 102107201 145867430 204214402 291734860 408428804 510536005 1021072010 2042144020