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440796367891881 = 34436714449130729
BaseRepresentation
bin110010000111001101110011…
…0111011010010110110101001
32010210201201110202212122210000
41210032123212323102312221
5430234001430140020011
64201255020023013213
7161563325626260531
oct14416334673226651
92123651422778700
10440796367891881
111184a6765156911
124153135789a209
1315bc5bc444c381
147abc92d93c4c1
1535e61d2337356
hex190e6e6ed2da9

440796367891881 has 80 divisors (see below), whose sum is σ = 683896006552000. Its totient is φ = 282724429059072.

The previous prime is 440796367891871. The next prime is 440796367891907. The reversal of 440796367891881 is 188198763697044.

440796367891881 is a `hidden beast` number, since 4 + 4 + 0 + 7 + 96 + 367 + 8 + 91 + 8 + 81 = 666.

It is not a de Polignac number, because 440796367891881 - 231 = 440794220408233 is a prime.

It is a super-2 number, since 2×4407963678918812 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 440796367891881.

It is not an unprimeable number, because it can be changed into a prime (440796367891871) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3371767725 + ... + 3371898453.

It is an arithmetic number, because the mean of its divisors is an integer number (8548700081900).

Almost surely, 2440796367891881 is an apocalyptic number.

It is an amenable number.

440796367891881 is a deficient number, since it is larger than the sum of its proper divisors (243099638660119).

440796367891881 is a wasteful number, since it uses less digits than its factorization.

440796367891881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145300 (or 145291 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 81.

The spelling of 440796367891881 in words is "four hundred forty trillion, seven hundred ninety-six billion, three hundred sixty-seven million, eight hundred ninety-one thousand, eight hundred eighty-one".

Divisors: 1 3 9 27 43 67 81 129 201 387 603 1161 1809 2881 3483 5427 8643 14449 25929 43347 77787 130041 130729 233361 390123 392187 621307 968083 1170369 1176561 1863921 2904249 3529683 5591763 5621347 8712747 8758843 10589049 16775289 16864041 26138241 26276529 41627569 50325867 50592123 78414723 78829587 124882707 151776369 236488761 374648121 376630249 455329107 709466283 1123944363 1129890747 1888903321 3371833089 3389672241 5666709963 10169016723 17000129889 30507050169 51000389667 81222842803 126556522507 153001169001 243668528409 379669567521 731005585227 1139008702563 2193016755681 3417026107689 5441930467801 6579050267043 10251078323067 16325791403403 48977374210209 146932122630627 440796367891881