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142323012 = 2232132149157
BaseRepresentation
bin10000111101110…
…10110101000100
3100220210202110200
420132322311010
5242413314022
622042250500
73345503616
oct1036726504
9326722420
10142323012
1173379427
123b7b6a30
1323641800
1414c8adb6
15c764bac
hex87bad44

142323012 has 108 divisors (see below), whose sum is σ = 394676100. Its totient is φ = 43220736.

The previous prime is 142323007. The next prime is 142323019. The reversal of 142323012 is 210323241.

142323012 is a `hidden beast` number, since 1 + 423 + 230 + 12 = 666.

142323012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 61214976 + 81108036 = 7824^2 + 9006^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (142323019) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 906438 + ... + 906594.

Almost surely, 2142323012 is an apocalyptic number.

142323012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142323012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197338050).

142323012 is an abundant number, since it is smaller than the sum of its proper divisors (252353088).

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

142323012 is a wasteful number, since it uses less digits than its factorization.

142323012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 142323012 is about 11929.9208714895. The cubic root of 142323012 is about 522.1056288641.

Adding to 142323012 its reverse (210323241), we get a palindrome (352646253).

The spelling of 142323012 in words is "one hundred forty-two million, three hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 149 156 157 169 234 298 314 338 447 468 471 507 596 628 676 894 942 1014 1341 1413 1521 1788 1884 1937 2028 2041 2682 2826 3042 3874 4082 5364 5652 5811 6084 6123 7748 8164 11622 12246 17433 18369 23244 23393 24492 25181 26533 34866 36738 46786 50362 53066 69732 70179 73476 75543 79599 93572 100724 106132 140358 151086 159198 210537 226629 238797 280716 302172 304109 318396 421074 453258 477594 608218 842148 906516 912327 955188 1216436 1824654 2736981 3649308 3953417 5473962 7906834 10947924 11860251 15813668 23720502 35580753 47441004 71161506 142323012