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44124142000334 = 211414713912136173
BaseRepresentation
bin10100000100001011100111…
…10011110101100011001110
312210020020010022200202000212
422002011303303311203032
521240412220323002314
6233502203452122422
712202602241460024
oct1202056363654316
9183206108622025
1044124142000334
1113071a41932a30
124b47679a66412
131b80b72729916
14ac7896cba714
15517b84601e3e
hex282173cf58ce

44124142000334 has 128 divisors (see below), whose sum is σ = 76156394711040. Its totient is φ = 18994394188800.

The previous prime is 44124142000313. The next prime is 44124142000349. The reversal of 44124142000334 is 43300024142144.

44124142000334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×441241420003342 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44124142000334.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7147922072 + ... + 7147928244.

It is an arithmetic number, because the mean of its divisors is an integer number (594971833680).

Almost surely, 244124142000334 is an apocalyptic number.

44124142000334 is a deficient number, since it is larger than the sum of its proper divisors (32032252710706).

44124142000334 is a wasteful number, since it uses less digits than its factorization.

44124142000334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 44124142000334 its reverse (43300024142144), we get a palindrome (87424166142478).

The spelling of 44124142000334 in words is "forty-four trillion, one hundred twenty-four billion, one hundred forty-two million, three hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 11 22 41 47 82 94 139 278 451 517 902 1034 1213 1529 1927 2426 3058 3854 5699 6173 6533 11398 12346 13066 13343 21197 26686 42394 49733 57011 62689 67903 71863 99466 114022 125378 135806 143726 168607 253093 267853 290131 337214 506186 535706 547063 580262 627121 858047 1094126 1254242 1716094 1854677 2337451 2784023 2946383 3191441 3709354 4674902 5568046 5892766 6382882 6912887 7487849 7924529 9438517 11895371 13825774 14975698 15849058 18877034 23790742 25711961 35179927 40328209 51423922 70359854 76041757 80656418 82366339 87169819 130849081 152083514 164732678 174339638 261698162 307001809 324905689 351928903 386979197 443610299 614003618 649811378 703857806 773958394 887220598 1040811011 1653456569 2081622022 3306913138 3377019899 3573962579 3871217933 6754039798 7147925158 7742435866 11448921121 14429085023 18188022259 22897842242 28858170046 36376044518 42673251451 48918117517 85346502902 97836235034 158719935253 317439870506 469405765961 538099292687 938811531922 1076198585374 2005642818197 4011285636394 22062071000167 44124142000334