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24441441444 = 22337103313883
BaseRepresentation
bin10110110000110100…
…101100110010100100
32100002100212212112000
4112300310230302210
5400024002111234
615121144525300
71523452552530
oct266064546244
970070785460
1024441441444
11a402613792
1248a1480830
1323c68ba5b4
14127c10abc0
15980b3d899
hex5b0d2cca4

24441441444 has 96 divisors (see below), whose sum is σ = 73122416640. Its totient is φ = 6915448224.

The previous prime is 24441441419. The next prime is 24441441457. The reversal of 24441441444 is 44414414442.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 24441441399 and 24441441408.

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, 79074 + ... + 234809.

It is an arithmetic number, because the mean of its divisors is an integer number (761691840).

Almost surely, 224441441444 is an apocalyptic number.

It is an amenable number.

24441441444 is an abundant number, since it is smaller than the sum of its proper divisors (48680975196).

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

24441441444 is a wasteful number, since it uses less digits than its factorization.

24441441444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314006 (or 313998 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

Adding to 24441441444 its reverse (44414414442), we get a palindrome (68855855886).

It can be divided in two parts, 2 and 4441441444, that multiplied together give a palindrome (8882882888).

The spelling of 24441441444 in words is "twenty-four billion, four hundred forty-one million, four hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 103 108 126 189 206 252 309 378 412 618 721 756 927 1236 1442 1854 2163 2781 2884 3708 4326 5562 6489 8652 11124 12978 19467 25956 38934 77868 313883 627766 941649 1255532 1883298 2197181 2824947 3766596 4394362 5649894 6591543 8474841 8788724 11299788 13183086 16949682 19774629 26366172 32329949 33899364 39549258 59323887 64659898 79098516 96989847 118647774 129319796 193979694 226309643 237295548 290969541 387959388 452619286 581939082 678928929 872908623 905238572 1163878164 1357857858 1745817246 2036786787 2715715716 3491634492 4073573574 6110360361 8147147148 12220720722 24441441444