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4010244444 = 2233173170459
BaseRepresentation
bin1110111100000111…
…0111100101011100
3101100110222112012000
43233001313211130
531203110310234
61501533242300
7201243341523
oct35701674534
911313875160
104010244444
111778751008
1293b033390
134bba9a60b
142a085d4ba
151870ea899
hexef07795c

4010244444 has 96 divisors (see below), whose sum is σ = 11363788800. Its totient is φ = 1217514240.

The previous prime is 4010244431. The next prime is 4010244451. The reversal of 4010244444 is 4444420104.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21687 + ... + 92145.

It is an arithmetic number, because the mean of its divisors is an integer number (118372800).

Almost surely, 24010244444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4010244444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681894400).

4010244444 is an abundant number, since it is smaller than the sum of its proper divisors (7353544356).

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

4010244444 is a wasteful number, since it uses less digits than its factorization.

4010244444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70520 (or 70512 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4010244444 is about 63326.4908549337. The cubic root of 4010244444 is about 1588.7550667964.

Adding to 4010244444 its reverse (4444420104), we get a palindrome (8454664548).

The spelling of 4010244444 in words is "four billion, ten million, two hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 93 102 108 124 153 186 204 279 306 372 459 527 558 612 837 918 1054 1116 1581 1674 1836 2108 3162 3348 4743 6324 9486 14229 18972 28458 56916 70459 140918 211377 281836 422754 634131 845508 1197803 1268262 1902393 2184229 2395606 2536524 3593409 3804786 4368458 4791212 6552687 7186818 7609572 8736916 10780227 13105374 14373636 19658061 21560454 26210748 32340681 37131893 39316122 43120908 58974183 64681362 74263786 78632244 111395679 117948366 129362724 148527572 222791358 235896732 334187037 445582716 668374074 1002561111 1336748148 2005122222 4010244444