Search a number
-
+
142104333312 = 2103331165799
BaseRepresentation
bin1000010001011000010…
…1000000110000000000
3111120210111101002101000
42010112011000300000
54312012202131222
6145140513012000
713160322621564
oct2042605006000
9446714332330
10142104333312
11552a2211987
122365a554000
1310528839336
146c40cc56a4
153a6a8429ac
hex2116140c00

142104333312 has 176 divisors, whose sum is σ = 434422528000. Its totient is φ = 45839831040.

The previous prime is 142104333299. The next prime is 142104333323. The reversal of 142104333312 is 213333401241.

It is a happy number.

142104333312 is a `hidden beast` number, since 1 + 4 + 2 + 10 + 4 + 333 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774189 + ... + 939987.

Almost surely, 2142104333312 is an apocalyptic number.

142104333312 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 142104333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217211264000).

142104333312 is an abundant number, since it is smaller than the sum of its proper divisors (292318194688).

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

142104333312 is a wasteful number, since it uses less digits than its factorization.

142104333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165859 (or 165835 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 142104333312 its reverse (213333401241), we get a palindrome (355437734553).

The spelling of 142104333312 in words is "one hundred forty-two billion, one hundred four million, three hundred thirty-three thousand, three hundred twelve".