Search a number
-
+
2044141400 = 235271460101
BaseRepresentation
bin111100111010111…
…0001111101011000
312021110102010211202
41321311301331120
513141300011100
6534501013332
7101440625630
oct17165617530
95243363752
102044141400
11959956764
124906b4248
13267660c32
141556a96c0
15be6d17d5
hex79d71f58

2044141400 has 48 divisors (see below), whose sum is σ = 5431579440. Its totient is φ = 700848000.

The previous prime is 2044141381. The next prime is 2044141403. The reversal of 2044141400 is 41414402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044141403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 728651 + ... + 731450.

It is an arithmetic number, because the mean of its divisors is an integer number (113157905).

Almost surely, 22044141400 is an apocalyptic number.

2044141400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2044141400 is an abundant number, since it is smaller than the sum of its proper divisors (3387438040).

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

2044141400 is a wasteful number, since it uses less digits than its factorization.

2044141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460124 (or 1460115 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2044141400 is about 45212.1819867168. The cubic root of 2044141400 is about 1269.1227951566.

Adding to 2044141400 its reverse (41414402), we get a palindrome (2085555802).

The spelling of 2044141400 in words is "two billion, forty-four million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1460101 2920202 5840404 7300505 10220707 11680808 14601010 20441414 29202020 36502525 40882828 51103535 58404040 73005050 81765656 102207070 146010100 204414140 255517675 292020200 408828280 511035350 1022070700 2044141400