Search a number
-
+
23123104401441 = 311432378961673
BaseRepresentation
bin1010100000111110001000…
…11011001000100000100001
310000212112202220101022210110
411100133010123020200201
511012322104211321231
6121102335120121533
74604406040310322
oct520370433104041
9100775686338713
1023123104401441
1174054a9686660
1227154b4a662a9
13cb9665207515
1459d2428bc449
152a1741d98046
hex1507c46c8821

23123104401441 has 24 divisors (see below), whose sum is σ = 34433973546336. Its totient is φ = 13688095592640.

The previous prime is 23123104401407. The next prime is 23123104401457. The reversal of 23123104401441 is 14410440132132.

It is a happy number.

It is not a de Polignac number, because 23123104401441 - 26 = 23123104401377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23123104401399 and 23123104401408.

It is not an unprimeable number, because it can be changed into a prime (23123104401461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189419820 + ... + 189541853.

It is an arithmetic number, because the mean of its divisors is an integer number (1434748897764).

Almost surely, 223123104401441 is an apocalyptic number.

It is an amenable number.

23123104401441 is a deficient number, since it is larger than the sum of its proper divisors (11310869144895).

23123104401441 is a wasteful number, since it uses less digits than its factorization.

23123104401441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378961773 (or 378961730 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 23123104401441 its reverse (14410440132132), we get a palindrome (37533544533573).

The spelling of 23123104401441 in words is "twenty-three trillion, one hundred twenty-three billion, one hundred four million, four hundred one thousand, four hundred forty-one".

Divisors: 1 3 11 33 43 129 473 1419 1849 5547 20339 61017 378961673 1136885019 4168578403 12505735209 16295351939 48886055817 179248871329 537746613987 700700133377 2102100400131 7707701467147 23123104401441