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444012121240 = 23522948472939
BaseRepresentation
bin1100111011000010010…
…11110100110010011000
31120110001222010210011021
412131201023310302120
524233314100334430
6535550520412224
744036014521202
oct6354113646230
91513058123137
10444012121240
111613392a3516
1272076917074
1332b4099752c
14176c155b772
15b83a74c07a
hex67612f4c98

444012121240 has 32 divisors (see below), whose sum is σ = 1003389858000. Its totient is φ = 176829277824.

The previous prime is 444012121127. The next prime is 444012121249. The reversal of 444012121240 is 42121210444.

It is a happy number.

It is a super-4 number, since 4×4440121212404 (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444012121249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24227310 + ... + 24245629.

Almost surely, 2444012121240 is an apocalyptic number.

444012121240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444012121240 is an abundant number, since it is smaller than the sum of its proper divisors (559377736760).

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

444012121240 is a wasteful number, since it uses less digits than its factorization.

444012121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48473179 (or 48473175 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 444012121240 its reverse (42121210444), we get a palindrome (486133331684).

The spelling of 444012121240 in words is "four hundred forty-four billion, twelve million, one hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 229 458 916 1145 1832 2290 4580 9160 48472939 96945878 193891756 242364695 387783512 484729390 969458780 1938917560 11100303031 22200606062 44401212124 55501515155 88802424248 111003030310 222006060620 444012121240