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142424241444 = 223243976911719
BaseRepresentation
bin1000010010100100100…
…1010111010100100100
3111121121210100002211100
42010221021113110210
54313141101211234
6145232341440100
713201256035422
oct2045111272444
9447553302740
10142424241444
1155446853671
1223729710030
1310579bb77a4
146c7159c112
153a88985399
hex2129257524

142424241444 has 72 divisors (see below), whose sum is σ = 361336976000. Its totient is φ = 47300972544.

The previous prime is 142424241359. The next prime is 142424241497. The reversal of 142424241444 is 444142424241.

142424241444 is a `hidden beast` number, since 142 + 42 + 424 + 14 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142424241399 and 142424241408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12147417 + ... + 12159135.

Almost surely, 2142424241444 is an apocalyptic number.

It is an amenable number.

142424241444 is an abundant number, since it is smaller than the sum of its proper divisors (218912734556).

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

142424241444 is a wasteful number, since it uses less digits than its factorization.

142424241444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12937 (or 12932 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

Adding to 142424241444 its reverse (444142424241), we get a palindrome (586566665685).

The spelling of 142424241444 in words is "one hundred forty-two billion, four hundred twenty-four million, two hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 439 769 878 1317 1538 1756 2307 2634 3076 3951 4614 5268 6921 7902 9228 11719 13842 15804 23438 27684 35157 46876 70314 105471 140628 210942 337591 421884 675182 1012773 1350364 2025546 3038319 4051092 5144641 6076638 9011911 10289282 12153276 15433923 18023822 20578564 27035733 30867846 36047644 46301769 54071466 61735692 81107199 92603538 108142932 162214398 185207076 324428796 3956228929 7912457858 11868686787 15824915716 23737373574 35606060361 47474747148 71212120722 142424241444