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14332124142 = 23271731321377
BaseRepresentation
bin11010101100100001…
…01101101111101110
31100222211102100020200
431112100231233232
5213323010433032
610330055054330
71015110021330
oct152620555756
940884370220
1014332124142
116095123aa6
12293b9713a6
13147537673b
1499d64d450
1558d38a47c
hex35642dbee

14332124142 has 96 divisors (see below), whose sum is σ = 37698478272. Its totient is φ = 3841523712.

The previous prime is 14332124101. The next prime is 14332124143. The reversal of 14332124142 is 24142123341.

14332124142 is a `hidden beast` number, since 1 + 4 + 33 + 212 + 414 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14332124143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659758 + ... + 681134.

It is an arithmetic number, because the mean of its divisors is an integer number (392692482).

Almost surely, 214332124142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14332124142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849239136).

14332124142 is an abundant number, since it is smaller than the sum of its proper divisors (23366354130).

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

14332124142 is a wasteful number, since it uses less digits than its factorization.

14332124142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21722 (or 21719 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 14332124142 its reverse (24142123341), we get a palindrome (38474247483).

The spelling of 14332124142 in words is "fourteen billion, three hundred thirty-two million, one hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 313 357 626 714 939 1071 1878 2142 2191 2817 4382 5321 5634 6573 10642 13146 15963 19719 21377 31926 37247 39438 42754 47889 64131 74494 95778 111741 128262 149639 192393 223482 299278 335223 363409 384786 448917 670446 726818 897834 1090227 1346751 2180454 2543863 2693502 3270681 5087726 6541362 6691001 7631589 13382002 15263178 20073003 22894767 40146006 45789534 46837007 60219009 93674014 113747017 120438018 140511021 227494034 281022042 341241051 421533063 682482102 796229119 843066126 1023723153 1592458238 2047446306 2388687357 4777374714 7166062071 14332124142