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4144623213195 = 3251071774948497
BaseRepresentation
bin111100010011111110110…
…010110101101010001011
3112200012222220210010220200
4330103332302311222023
51020401142020310240
612452002535223243
7605303425016103
oct74237662655213
915605886703820
104144623213195
1113587a7832263
1256b309b17b23
13240ab444482a
1410485a98c203
1572c27a07930
hex3c4fecb5a8b

4144623213195 has 48 divisors (see below), whose sum is σ = 7251711948000. Its totient is φ = 2189638628352.

The previous prime is 4144623213167. The next prime is 4144623213197. The reversal of 4144623213195 is 5913123264414.

It is a happy number.

4144623213195 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 6 + 2 + 321 + 319 + 5 = 666.

It is not a de Polignac number, because 4144623213195 - 227 = 4144488995467 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4144623213195.

It is not an unprimeable number, because it can be changed into a prime (4144623213197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85437187 + ... + 85485683.

It is an arithmetic number, because the mean of its divisors is an integer number (151077332250).

Almost surely, 24144623213195 is an apocalyptic number.

4144623213195 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4144623213195 is a deficient number, since it is larger than the sum of its proper divisors (3107088734805).

4144623213195 is a wasteful number, since it uses less digits than its factorization.

4144623213195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66364 (or 66361 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 4144623213195 in words is "four trillion, one hundred forty-four billion, six hundred twenty-three million, two hundred thirteen thousand, one hundred ninety-five".

Divisors: 1 3 5 9 15 45 107 321 535 963 1605 4815 17749 48497 53247 88745 145491 159741 242485 266235 436473 727455 798705 1899143 2182365 5189179 5697429 9495715 15567537 17092287 25945895 28487145 46702611 77837685 85461435 233513055 860773253 2582319759 4303866265 7746959277 12911598795 38734796385 92102738071 276308214213 460513690355 828924642639 1381541071065 4144623213195