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21444321140343 = 3329439198731397
BaseRepresentation
bin1001110000000111001010…
…01001001101111001110111
32210221001112121111111211000
410320003211021031321313
510302320432202442333
6113335215104414343
74342205161114353
oct470034511157167
983831477444730
1021444321140343
116918538260032
1224a40779173b3
13bc7263281b2a
14541ca6ca2463
15272c3903a713
hex1380e524de77

21444321140343 has 64 divisors (see below), whose sum is σ = 32957350272000. Its totient is φ = 13764429366912.

The previous prime is 21444321140317. The next prime is 21444321140453. The reversal of 21444321140343 is 34304112344412.

21444321140343 is a `hidden beast` number, since 2 + 1 + 44 + 432 + 1 + 140 + 3 + 43 = 666.

It is not a de Polignac number, because 21444321140343 - 26 = 21444321140279 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21444321140298 and 21444321140307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21444321148343) 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 63 ways as a sum of consecutive naturals, for example, 682989721 + ... + 683021117.

It is an arithmetic number, because the mean of its divisors is an integer number (514958598000).

Almost surely, 221444321140343 is an apocalyptic number.

21444321140343 is a deficient number, since it is larger than the sum of its proper divisors (11513029131657).

21444321140343 is a wasteful number, since it uses less digits than its factorization.

21444321140343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33861 (or 33855 counting only the distinct ones).

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

Adding to 21444321140343 its reverse (34304112344412), we get a palindrome (55748433484755).

The spelling of 21444321140343 in words is "twenty-one trillion, four hundred forty-four billion, three hundred twenty-one million, one hundred forty thousand, three hundred forty-three".

Divisors: 1 3 9 27 29 87 261 439 783 1317 1987 3951 5961 11853 12731 17883 31397 38193 53649 57623 94191 114579 172869 282573 343737 518607 847719 872293 910513 1555821 2616879 2731539 7850637 8194617 13783283 23551911 24583851 25296497 41349849 62385839 75889491 124049547 187157517 227668473 372148641 399715207 561472551 683005419 1199145621 1684417653 1809189331 3597436863 5427567993 10792310589 16282703979 27387383321 48848111937 82162149963 246486449889 739459349667 794234116309 2382702348927 7148107046781 21444321140343