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2444113140 = 2235721018231
BaseRepresentation
bin1001000110101110…
…0011010011110100
320022100000210220220
42101223203103310
520001143110030
61042305454340
7114365422200
oct22153432364
96270023826
102444113140
111044702417
125826413b0
132cc4926c1
14192863b00
15e488ba10
hex91ae34f4

2444113140 has 144 divisors (see below), whose sum is σ = 8040622464. Its totient is φ = 553056000.

The previous prime is 2444113123. The next prime is 2444113141. The reversal of 2444113140 is 413114442.

2444113140 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 a super-2 number, since 2×24441131402 = 11947378082241319200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2444113140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444113141) 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, 292825 + ... + 301055.

It is an arithmetic number, because the mean of its divisors is an integer number (55837656).

Almost surely, 22444113140 is an apocalyptic number.

2444113140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020311232).

2444113140 is an abundant number, since it is smaller than the sum of its proper divisors (5596509324).

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

2444113140 is a wasteful number, since it uses less digits than its factorization.

2444113140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8358 (or 8349 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2444113140 is about 49437.9726526078. The cubic root of 2444113140 is about 1347.0191459071.

Adding to 2444113140 its reverse (413114442), we get a palindrome (2857227582).

The spelling of 2444113140 in words is "two billion, four hundred forty-four million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 101 105 140 147 196 202 210 245 294 303 404 420 490 505 588 606 707 735 980 1010 1212 1414 1470 1515 2020 2121 2828 2940 3030 3535 4242 4949 6060 7070 8231 8484 9898 10605 14140 14847 16462 19796 21210 24693 24745 29694 32924 41155 42420 49386 49490 57617 59388 74235 82310 98772 98980 115234 123465 148470 164620 172851 230468 246930 288085 296940 345702 403319 493860 576170 691404 806638 831331 864255 1152340 1209957 1613276 1662662 1728510 2016595 2419914 2493993 3325324 3457020 4033190 4156655 4839828 4987986 5819317 6049785 8066380 8313310 9975972 11638634 12099570 12469965 16626620 17457951 23277268 24199140 24939930 29096585 34915902 40735219 49879860 58193170 69831804 81470438 87289755 116386340 122205657 162940876 174579510 203676095 244411314 349159020 407352190 488822628 611028285 814704380 1222056570 2444113140