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2441113312 = 251119383953
BaseRepresentation
bin1001000110000000…
…0110111011100000
320022010101101221011
42101200012323200
514444411111222
61042121310304
7114331056301
oct22140067340
96263341834
102441113312
111042a43620
12581635394
132cb982161
141922c27a8
15e4497c77
hex91806ee0

2441113312 has 96 divisors (see below), whose sum is σ = 5539000320. Its totient is φ = 1047352320.

The previous prime is 2441113261. The next prime is 2441113319. The reversal of 2441113312 is 2133111442.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441113319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2561028 + ... + 2561980.

It is an arithmetic number, because the mean of its divisors is an integer number (57697920).

Almost surely, 22441113312 is an apocalyptic number.

2441113312 is a gapful number since it is divisible by the number (22) 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 2441113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769500160).

2441113312 is an abundant number, since it is smaller than the sum of its proper divisors (3097887008).

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

2441113312 is a wasteful number, since it uses less digits than its factorization.

2441113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1368 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 2441113312 is about 49407.6240270669. The cubic root of 2441113312 is about 1346.4678239018.

Adding to 2441113312 its reverse (2133111442), we get a palindrome (4574224754).

The spelling of 2441113312 in words is "two billion, four hundred forty-one million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 383 418 608 766 836 953 1532 1672 1906 3064 3344 3812 4213 6128 6688 7277 7624 8426 10483 12256 14554 15248 16852 18107 20966 29108 30496 33704 36214 41932 58216 67408 72428 80047 83864 116432 134816 144856 160094 167728 199177 232864 289712 320188 335456 364999 398354 579424 640376 729998 796708 1280752 1459996 1593416 2561504 2919992 3186832 4014989 5839984 6373664 6934981 8029978 11679968 13869962 16059956 27739924 32119912 55479848 64239824 76284791 110959696 128479648 152569582 221919392 305139164 610278328 1220556656 2441113312