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4013444442 = 2371944311353
BaseRepresentation
bin1110111100111000…
…0100110101011010
3101100201000002202110
43233032010311122
531204420210232
61502130013150
7201312500130
oct35716046532
911321002673
104013444442
11177a537237
129401171b6
134bc64acc7
142a1053750
1518752dacc
hexef384d5a

4013444442 has 64 divisors (see below), whose sum is σ = 9679057920. Its totient is φ = 1083798144.

The previous prime is 4013444417. The next prime is 4013444447. The reversal of 4013444442 is 2444443104.

It is a super-2 number, since 2×40134444422 = 32215472578041382728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013444447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347838 + ... + 359190.

It is an arithmetic number, because the mean of its divisors is an integer number (151235280).

Almost surely, 24013444442 is an apocalyptic number.

4013444442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013444442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839528960).

4013444442 is an abundant number, since it is smaller than the sum of its proper divisors (5665613478).

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

4013444442 is a wasteful number, since it uses less digits than its factorization.

4013444442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11827.

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 4013444442 is about 63351.7516884892. The cubic root of 4013444442 is about 1589.1775399094.

Adding to 4013444442 its reverse (2444443104), we get a palindrome (6457887546).

The spelling of 4013444442 in words is "four billion, thirteen million, four hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 443 798 886 1329 2658 3101 6202 8417 9303 11353 16834 18606 22706 25251 34059 50502 58919 68118 79471 117838 158942 176757 215707 238413 353514 431414 476826 647121 1294242 1509949 3019898 4529847 5029379 9059694 10058758 15088137 30176274 35205653 70411306 95558201 105616959 191116402 211233918 286674603 573349206 668907407 1337814814 2006722221 4013444442