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320444013134421 = 3211371367177736013
BaseRepresentation
bin100100011011100010010111…
…1100100101100001001010101
31120000121011000020110100111100
41020313010233210230021111
5314000123314330300141
63053305540344500313
7124332213241053111
oct11067045744541125
91500534006410440
10320444013134421
11931155a7502210
122bb3424377a699
13109a5982649297
14591b8043d6741
15270a73e0920b6
hex123712f92c255

320444013134421 has 96 divisors (see below), whose sum is σ = 519274993805568. Its totient is φ = 188709886494720.

The previous prime is 320444013134419. The next prime is 320444013134461. The reversal of 320444013134421 is 124431310444023.

320444013134421 is a `hidden beast` number, since 3 + 2 + 0 + 44 + 40 + 131 + 3 + 442 + 1 = 666.

It is not a de Polignac number, because 320444013134421 - 21 = 320444013134419 is a prime.

It is a super-2 number, since 2×3204440131344212 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320444013134461) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8897991411 + ... + 8898027423.

It is an arithmetic number, because the mean of its divisors is an integer number (5409114518808).

Almost surely, 2320444013134421 is an apocalyptic number.

It is an amenable number.

320444013134421 is a deficient number, since it is larger than the sum of its proper divisors (198830980671147).

320444013134421 is a wasteful number, since it uses less digits than its factorization.

320444013134421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39211 (or 39208 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 320444013134421 its reverse (124431310444023), we get a palindrome (444875323578444).

The spelling of 320444013134421 in words is "three hundred twenty trillion, four hundred forty-four billion, thirteen million, one hundred thirty-four thousand, four hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 1367 1777 3663 4101 5331 12303 15037 15993 19547 36013 45111 50579 58641 65749 108039 135333 151737 175923 197247 324117 396143 455211 556369 591741 723239 1188429 1332481 1669107 2169717 2429159 3565287 3997443 5007321 6509151 7287477 11992329 14657291 21862431 26720749 43971873 49229771 63995101 80162247 89878883 131915619 147689313 191985303 240486741 269636649 443067939 541527481 575955909 703946111 808909947 988667713 1624582443 1821501527 2111838333 2367818737 2966003139 4873747329 5464504581 6335514999 7103456211 8898009417 16393513743 20036516797 21310368633 26046006107 60109550391 78138018321 87481303067 180328651173 234414054963 262443909201 787331727603 962294333737 2886883001211 3236808213479 8660649003633 9710424640437 29131273921311 35604890348269 106814671044807 320444013134421