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404240023143 = 331197109712791
BaseRepresentation
bin1011110000111101001…
…01010011111001100111
31102122102011220212022000
411320132211103321213
523110340421220033
6505412202340343
741130305334345
oct5703645237147
91378364825260
10404240023143
11146489a55560
12664171ba6b3
132c172bbb288
14157cb356995
15a7adc81a13
hex5e1e953e67

404240023143 has 64 divisors (see below), whose sum is σ = 660705776640. Its totient is φ = 242228275200.

The previous prime is 404240023051. The next prime is 404240023151. The reversal of 404240023143 is 341320042404.

It is a happy number.

404240023143 is a `hidden beast` number, since 4 + 0 + 424 + 0 + 0 + 231 + 4 + 3 = 666.

It is not a de Polignac number, because 404240023143 - 29 = 404240022631 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404240023183) 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, 31597078 + ... + 31609868.

It is an arithmetic number, because the mean of its divisors is an integer number (10323527760).

Almost surely, 2404240023143 is an apocalyptic number.

404240023143 is a deficient number, since it is larger than the sum of its proper divisors (256465753497).

404240023143 is a wasteful number, since it uses less digits than its factorization.

404240023143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14005 (or 13999 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 404240023143 its reverse (341320042404), we get a palindrome (745560065547).

The spelling of 404240023143 in words is "four hundred four billion, two hundred forty million, twenty-three thousand, one hundred forty-three".

Divisors: 1 3 9 11 27 33 97 99 291 297 873 1067 1097 2619 3201 3291 9603 9873 12067 12791 28809 29619 36201 38373 106409 108603 115119 140701 319227 325809 345357 422103 957681 1170499 1240727 1266309 2873043 3511497 3722181 3798927 10534491 11166543 13647997 14031727 31603473 33499629 40943991 42095181 122831973 126285543 154348997 368495919 378856629 463046991 1361077519 1389140973 4083232557 4167422919 12249697671 14971852709 36749093013 44915558127 134746674381 404240023143