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142336306512 = 2434417973361
BaseRepresentation
bin1000010010001111100…
…1111010110101010000
3111121101122212112210000
42010203321322311100
54313001043302022
6145215521010000
713166140433361
oct2044371726520
9447348775700
10142336306512
1155401152874
1223704183900
131056490979a
146c63a2bb68
153a80db56ac
hex2123e7ad50

142336306512 has 200 divisors, whose sum is σ = 422665650792. Its totient is φ = 46216396800.

The previous prime is 142336306501. The next prime is 142336306537. The reversal of 142336306512 is 215603633241.

142336306512 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 3 + 630 + 6 + 5 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7659050256 + 134677256256 = 87516^2 + 366984^2 .

It is a super-2 number, since 2×1423363065122 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42347712 + ... + 42351072.

Almost surely, 2142336306512 is an apocalyptic number.

142336306512 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 142336306512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211332825396).

142336306512 is an abundant number, since it is smaller than the sum of its proper divisors (280329344280).

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

142336306512 is a wasteful number, since it uses less digits than its factorization.

142336306512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 142336306512 its reverse (215603633241), we get a palindrome (357939939753).

The spelling of 142336306512 in words is "one hundred forty-two billion, three hundred thirty-six million, three hundred six thousand, five hundred twelve".