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12441021345 = 32517411033851
BaseRepresentation
bin10111001011000101…
…01110101110100001
31012010000222100220100
423211202232232201
5200434400140340
65414302133013
7620204636154
oct134542565641
935100870810
1012441021345
1153046a5525
1224b2581169
1312336397bc
1486041dc9b
154cc338830
hex2e58aeba1

12441021345 has 96 divisors (see below), whose sum is σ = 23623052544. Its totient is φ = 6031872000.

The previous prime is 12441021331. The next prime is 12441021349. The reversal of 12441021345 is 54312014421.

12441021345 is a `hidden beast` number, since 1 + 2 + 441 + 0 + 213 + 4 + 5 = 666.

It is not a de Polignac number, because 12441021345 - 213 = 12441013153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12441021349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3228670 + ... + 3232520.

It is an arithmetic number, because the mean of its divisors is an integer number (246073464).

Almost surely, 212441021345 is an apocalyptic number.

12441021345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12441021345 is a deficient number, since it is larger than the sum of its proper divisors (11182031199).

12441021345 is a wasteful number, since it uses less digits than its factorization.

12441021345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12441021345 its reverse (54312014421), we get a palindrome (66753035766).

The spelling of 12441021345 in words is "twelve billion, four hundred forty-one million, twenty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 41 45 51 85 103 123 153 205 255 309 369 515 615 697 765 927 1545 1751 1845 2091 3485 3851 4223 4635 5253 6273 8755 10455 11553 12669 15759 19255 21115 26265 31365 34659 38007 57765 63345 65467 71791 78795 157891 173295 190035 196401 215373 327335 358955 396653 473673 589203 646119 789455 982005 1076865 1189959 1421019 1983265 2368365 2684147 2946015 3230595 3569877 5949795 6743101 7105095 8052441 13420735 16262773 17849385 20229303 24157323 33715505 40262205 48788319 60687909 81313865 101146515 120786615 146364957 243941595 276467141 303439545 731824785 829401423 1382335705 2488204269 4147007115 12441021345