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21144331134241 = 723587583938317
BaseRepresentation
bin1001100111011000011000…
…10110001010010100100001
32202212101012210101020010021
410303230030112022110201
510232412042232243431
6112545323245433441
74311425144124520
oct463541426122441
982771183336107
1021144331134241
11681229576a357
122455ab586b881
13ba4b95542093
145315692024b7
1526a02c6a2b11
hex133b0c58a521

21144331134241 has 32 divisors (see below), whose sum is σ = 25263541739520. Its totient is φ = 17302776676416.

The previous prime is 21144331134209. The next prime is 21144331134253. The reversal of 21144331134241 is 14243113344112.

It is not a de Polignac number, because 21144331134241 - 25 = 21144331134209 is a prime.

It is a super-2 number, since 2×211443311342412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21144331134197 and 21144331134206.

It is not an unprimeable number, because it can be changed into a prime (21144331134841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551807215 + ... + 551845531.

It is an arithmetic number, because the mean of its divisors is an integer number (789485679360).

Almost surely, 221144331134241 is an apocalyptic number.

It is an amenable number.

21144331134241 is a deficient number, since it is larger than the sum of its proper divisors (4119210605279).

21144331134241 is a wasteful number, since it uses less digits than its factorization.

21144331134241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44773.

The product of its digits is 27648, while the sum is 34.

Adding to 21144331134241 its reverse (14243113344112), we get a palindrome (35387444478353).

The spelling of 21144331134241 in words is "twenty-one trillion, one hundred forty-four billion, three hundred thirty-one million, one hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 7 23 161 587 4109 5839 13501 38317 40873 94507 134297 268219 881291 940079 3427493 6169037 22492079 23992451 78832339 157444553 223732963 517317817 551826373 1566130741 3621224719 5145858149 36021007043 131331249281 919318744967 3020618733463 21144331134241