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142311312 = 243211136911
BaseRepresentation
bin10000111101101…
…11111110010000
3100220210011102100
420132313332100
5242412430222
622042120400
73345424533
oct1036677620
9326704370
10142311312
1173370660
123b7b0100
13236393a0
1414c86a1a
15c7614ac
hex87b7f90

142311312 has 120 divisors (see below), whose sum is σ = 467970048. Its totient is φ = 39801600.

The previous prime is 142311269. The next prime is 142311313. The reversal of 142311312 is 213113241.

142311312 is a `hidden beast` number, since 1 + 42 + 311 + 312 = 666.

It is a super-2 number, since 2×1423113122 = 40505019046322688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (142311313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17137 + ... + 24047.

Almost surely, 2142311312 is an apocalyptic number.

142311312 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 142311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

142311312 is an abundant number, since it is smaller than the sum of its proper divisors (325658736).

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

142311312 is a wasteful number, since it uses less digits than its factorization.

142311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6949 (or 6940 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 142311312 is about 11929.4304977228. The cubic root of 142311312 is about 522.0913214958.

Adding to 142311312 its reverse (213113241), we get a palindrome (355424553).

The spelling of 142311312 in words is "one hundred forty-two million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 6911 10296 13822 20592 20733 27644 41466 55288 62199 76021 82932 89843 110576 124398 152042 165864 179686 228063 248796 269529 304084 331728 359372 456126 497592 539058 608168 684189 718744 808587 912252 988273 995184 1078116 1216336 1368378 1437488 1617174 1824504 1976546 2156232 2736756 2964819 3234348 3649008 3953092 4312464 5473512 5929638 6468696 7906184 8894457 10947024 11859276 12937392 15812368 17788914 23718552 35577828 47437104 71155656 142311312