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4144241199 = 372131307701
BaseRepresentation
bin1111011100000100…
…0001101000101111
3101200211010021011210
43313001001220233
531441411204244
61523121245503
7204461316600
oct36701015057
911624107153
104144241199
11183735282a
12977a93893
13510785337
142b457dda7
15193c684b9
hexf7041a2f

4144241199 has 48 divisors (see below), whose sum is σ = 6507236736. Its totient is φ = 2339064000.

The previous prime is 4144241197. The next prime is 4144241207. The reversal of 4144241199 is 9911424414.

4144241199 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4144241199 - 21 = 4144241197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144241197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5911549 + ... + 5912249.

It is an arithmetic number, because the mean of its divisors is an integer number (135567432).

Almost surely, 24144241199 is an apocalyptic number.

4144241199 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4144241199 is a deficient number, since it is larger than the sum of its proper divisors (2362995537).

4144241199 is a wasteful number, since it uses less digits than its factorization.

4144241199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1149 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 4144241199 is about 64375.7811525421. The cubic root of 4144241199 is about 1606.2569061783.

The spelling of 4144241199 in words is "four billion, one hundred forty-four million, two hundred forty-one thousand, one hundred ninety-nine".

Divisors: 1 3 7 21 49 131 147 307 393 701 917 921 2103 2149 2751 4907 6419 6447 14721 15043 19257 34349 40217 45129 91831 103047 120651 215207 275493 281519 642817 645621 844557 1506449 1928451 1970633 4499719 4519347 5911899 10545143 13499157 28192117 31635429 84576351 197344819 592034457 1381413733 4144241199