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2444441142 = 2311134760617
BaseRepresentation
bin1001000110110011…
…0011011000110110
320022100122110212010
42101230303120312
520001234104032
61042320505050
7114401256363
oct22154633066
96270573763
102444441142
1110449068a0
1258277b186
132cc578aa0
1419290b46a
15e4903ccc
hex91b33636

2444441142 has 64 divisors (see below), whose sum is σ = 5865882624. Its totient is φ = 669200640.

The previous prime is 2444441123. The next prime is 2444441161. The reversal of 2444441142 is 2411444442.

2444441142 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2444441123) and next prime (2444441161).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10018 + ... + 70634.

It is an arithmetic number, because the mean of its divisors is an integer number (91654416).

Almost surely, 22444441142 is an apocalyptic number.

2444441142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444441142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932941312).

2444441142 is an abundant number, since it is smaller than the sum of its proper divisors (3421441482).

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

2444441142 is a wasteful number, since it uses less digits than its factorization.

2444441142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60693.

The product of its digits is 16384, while the sum is 30.

The square root of 2444441142 is about 49441.2898496793. The cubic root of 2444441142 is about 1347.0794002388.

Adding to 2444441142 its reverse (2411444442), we get a palindrome (4855885584).

The spelling of 2444441142 in words is "two billion, four hundred forty-four million, four hundred forty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 47 66 78 94 141 143 282 286 429 517 611 858 1034 1222 1551 1833 3102 3666 6721 13442 20163 40326 60617 121234 181851 363702 666787 788021 1333574 1576042 2000361 2364063 2848999 4000722 4728126 5697998 8546997 8668231 17093994 17336462 26004693 31338989 37036987 52009386 62677978 74073974 94016967 111110961 188033934 222221922 407406857 814813714 1222220571 2444441142