Search a number
-
+
42288418044 = 223211310395383
BaseRepresentation
bin100111011000100101…
…100000110011111100
311001011011010012220100
4213120211200303330
51143101313334134
631232123321100
73024642423345
oct473045406374
9131134105810
1042288418044
1116a30789424
128242380190
133cac200a92
1420924a30cc
15117786b999
hex9d8960cfc

42288418044 has 36 divisors (see below), whose sum is σ = 107841713616. Its totient is φ = 13971393408.

The previous prime is 42288418043. The next prime is 42288418057. The reversal of 42288418044 is 44081488224.

42288418044 is a `hidden beast` number, since 4 + 228 + 8 + 418 + 0 + 4 + 4 = 666.

42288418044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42288418043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5193624 + ... + 5201759.

It is an arithmetic number, because the mean of its divisors is an integer number (2995603156).

Almost surely, 242288418044 is an apocalyptic number.

It is an amenable number.

42288418044 is an abundant number, since it is smaller than the sum of its proper divisors (65553295572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42288418044 is a wasteful number, since it uses less digits than its factorization.

42288418044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10395506 (or 10395501 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 45.

The spelling of 42288418044 in words is "forty-two billion, two hundred eighty-eight million, four hundred eighteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 10395383 20790766 31186149 41581532 62372298 93558447 124744596 187116894 374233788 1174678279 2349356558 3524034837 4698713116 7048069674 10572104511 14096139348 21144209022 42288418044