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2042310144 = 2937189947
BaseRepresentation
bin111100110111011…
…0010111000000000
312021022222002211110
41321232302320000
513140312411034
6534353443320
7101416230660
oct17156627000
95238862743
102042310144
11958915926
1248bb70540
1326716c554
141553501a0
15be46dde9
hex79bb2e00

2042310144 has 80 divisors (see below), whose sum is σ = 6218137728. Its totient is φ = 583514112.

The previous prime is 2042310119. The next prime is 2042310157. The reversal of 2042310144 is 4410132402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2042310144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84222 + ... + 105725.

Almost surely, 22042310144 is an apocalyptic number.

2042310144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042310144 is an abundant number, since it is smaller than the sum of its proper divisors (4175827584).

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

2042310144 is an equidigital number, since it uses as much as digits as its factorization.

2042310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189975 (or 189959 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2042310144 is about 45191.9256504965. The cubic root of 2042310144 is about 1268.7436982417.

Adding to 2042310144 its reverse (4410132402), we get a palindrome (6452442546).

The spelling of 2042310144 in words is "two billion, forty-two million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 189947 379894 569841 759788 1139682 1329629 1519576 2279364 2659258 3039152 3988887 4558728 5318516 6078304 7977774 9117456 10637032 12156608 15955548 18234912 21274064 24313216 31911096 36469824 42548128 48626432 63822192 72939648 85096256 97252864 127644384 145879296 170192512 255288768 291758592 340385024 510577536 680770048 1021155072 2042310144