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223140141000444 = 223613149920236451
BaseRepresentation
bin110010101111000111011100…
…110101101110011011111100
31002021001222201002101021200010
4302233013130311232123330
5213221412002044003234
62110325055435103220
765000225465421033
oct6257073465563374
91067058632337603
10223140141000444
1165110225385998
122103a0798a1b10
139768042c322c5
143d1607cdcb71a
151abe5c193d6e9
hexcaf1dcd6e6fc

223140141000444 has 48 divisors (see below), whose sum is σ = 521857624176000. Its totient is φ = 74209166740800.

The previous prime is 223140141000409. The next prime is 223140141000449. The reversal of 223140141000444 is 444000141041322.

It is a happy number.

It is a super-3 number, since 3×2231401410004443 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223140141000449) 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, 908419 + ... + 21144869.

It is an arithmetic number, because the mean of its divisors is an integer number (10872033837000).

Almost surely, 2223140141000444 is an apocalyptic number.

It is an amenable number.

223140141000444 is an abundant number, since it is smaller than the sum of its proper divisors (298717483175556).

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

223140141000444 is a wasteful number, since it uses less digits than its factorization.

223140141000444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20238570 (or 20238568 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 223140141000444 its reverse (444000141041322), we get a palindrome (667140282041766).

The spelling of 223140141000444 in words is "two hundred twenty-three trillion, one hundred forty billion, one hundred forty-one million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 613 1226 1499 1839 2452 2998 3678 4497 5996 7356 8994 17988 918887 1837774 2756661 3675548 5513322 11026644 20236451 40472902 60709353 80945804 121418706 242837412 12404944463 24809888926 30334440049 37214833389 49619777852 60668880098 74429666778 91003320147 121337760196 148859333556 182006640294 364013280588 18595011750037 37190023500074 55785035250111 74380047000148 111570070500222 223140141000444