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4023111214431 = 334331119515711
BaseRepresentation
bin111010100010110100000…
…111010110010101011111
3112020121100112112001001000
4322202310013112111133
51011403312432330211
612320105231321343
7563442306043041
oct72426407262537
915217315461030
104023111214431
111311212442091
1254b857980253
132324bac2694a
14dca108dba91
156e9b4e37656
hex3a8b41d655f

4023111214431 has 64 divisors (see below), whose sum is σ = 6122591354880. Its totient is φ = 2609481420000.

The previous prime is 4023111214429. The next prime is 4023111214487. The reversal of 4023111214431 is 1344121113204.

It is a happy number.

4023111214431 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 1 + 11 + 214 + 431 = 666.

It is not a de Polignac number, because 4023111214431 - 21 = 4023111214429 is a prime.

It is a super-2 number, since 2×40231112144312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4023111214395 and 4023111214404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023111214831) 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, 704446666 + ... + 704452376.

It is an arithmetic number, because the mean of its divisors is an integer number (95665489920).

Almost surely, 24023111214431 is an apocalyptic number.

4023111214431 is a deficient number, since it is larger than the sum of its proper divisors (2099480140449).

4023111214431 is a wasteful number, since it uses less digits than its factorization.

4023111214431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8025 (or 8019 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4023111214431 its reverse (1344121113204), we get a palindrome (5367232327635).

The spelling of 4023111214431 in words is "four trillion, twenty-three billion, one hundred eleven million, two hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 9 27 43 129 311 387 933 1161 1951 2799 5711 5853 8397 13373 17133 17559 40119 51399 52677 83893 120357 154197 245573 251679 361071 606761 736719 755037 1776121 1820283 2210157 2265111 5328363 5460849 6630471 11142161 15985089 16382547 26090723 33426483 47955267 76373203 78272169 100279449 229119609 234816507 300838347 479112923 687358827 704449521 1437338769 2062076481 3465212071 4312016307 10395636213 12936048921 31186908639 93560725917 149004119053 447012357159 1341037071477 4023111214431