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4440113442 = 233372578647
BaseRepresentation
bin1000010001010011…
…01100000100100010
3102110102212010121000
410020221230010202
533043132112232
62012331012430
7215013225102
oct41051540442
912412763530
104440113442
111979367a46
12a3ab9a116
13559b6937b
1430199b202
151aec0e27c
hex108a6c122

4440113442 has 64 divisors (see below), whose sum is σ = 10174199040. Its totient is φ = 1434267648.

The previous prime is 4440113441. The next prime is 4440113443. The reversal of 4440113442 is 2443110444.

It is an interprime number because it is at equal distance from previous prime (4440113441) and next prime (4440113443).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4440113441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509163 + ... + 517809.

It is an arithmetic number, because the mean of its divisors is an integer number (158971860).

Almost surely, 24440113442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440113442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087099520).

4440113442 is an abundant number, since it is smaller than the sum of its proper divisors (5734085598).

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

4440113442 is a wasteful number, since it uses less digits than its factorization.

4440113442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8952 (or 8946 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4440113442 is about 66634.1762311203. The cubic root of 4440113442 is about 1643.6071507912.

Adding to 4440113442 its reverse (2443110444), we get a palindrome (6883223886).

It can be divided in two parts, 44401134 and 42, that added together give a triangular number (44401176 = T9423).

The spelling of 4440113442 in words is "four billion, four hundred forty million, one hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 257 333 514 666 771 999 1542 1998 2313 4626 6939 8647 9509 13878 17294 19018 25941 28527 51882 57054 77823 85581 155646 171162 233469 256743 319939 466938 513486 639878 959817 1919634 2222279 2879451 4444558 5758902 6666837 8638353 13333674 17276706 20000511 40001022 60001533 82224323 120003066 164448646 246672969 493345938 740018907 1480037814 2220056721 4440113442