Search a number
-
+
142300253640168 = 2332131773122506193
BaseRepresentation
bin100000010110101111011100…
…000100011101010111101000
3200122211202211100021200012200
4200112233130010131113220
5122122421404412441133
61222351500053340200
741654565640442301
oct4026573404352750
9618752740250180
10142300253640168
11413832204689a8
1213b628ab037660
136152b194bbbc0
14271d5248657a8
15116b85207a913
hex816bdc11d5e8

142300253640168 has 192 divisors, whose sum is σ = 445476623613840. Its totient is φ = 40644614356992.

The previous prime is 142300253640161. The next prime is 142300253640169. The reversal of 142300253640168 is 861046352003241.

142300253640168 is a `hidden beast` number, since 1 + 4 + 230 + 0 + 2 + 5 + 3 + 6 + 401 + 6 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37391488360164 + 104908765280004 = 6114858^2 + 10242498^2 .

It is a super-2 number, since 2×1423002536401682 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142300253640161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60091521 + ... + 62414672.

Almost surely, 2142300253640168 is an apocalyptic number.

142300253640168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

142300253640168 is an abundant number, since it is smaller than the sum of its proper divisors (303176369973672).

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

142300253640168 is a wasteful number, since it uses less digits than its factorization.

142300253640168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122506308 (or 122506301 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 142300253640168 in words is "one hundred forty-two trillion, three hundred billion, two hundred fifty-three million, six hundred forty thousand, one hundred sixty-eight".