Search a number
-
+
142843955328 = 2733192975013
BaseRepresentation
bin1000010100001000101…
…0011100100010000000
3111122201001002210001000
42011002022130202000
54320021023032303
6145342133412000
713214543405154
oct2050212344200
9448631083030
10142843955328
1155641763948
122382619a000
1310615b3c1b9
146cb1215064
153ab073eda3
hex214229c880

142843955328 has 256 divisors, whose sum is σ = 459085680000. Its totient is φ = 43552567296.

The previous prime is 142843955323. The next prime is 142843955333. The reversal of 142843955328 is 823559348241.

142843955328 is a `hidden beast` number, since 1 + 4 + 2 + 84 + 3 + 9 + 553 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (142843955323) and next prime (142843955333).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (142843955321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866750 + ... + 1941762.

Almost surely, 2142843955328 is an apocalyptic number.

142843955328 is a gapful number since it is divisible by the number (18) 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 142843955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229542840000).

142843955328 is an abundant number, since it is smaller than the sum of its proper divisors (316241724672).

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

142843955328 is a wasteful number, since it uses less digits than its factorization.

142843955328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75084 (or 75066 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 142843955328 in words is "one hundred forty-two billion, eight hundred forty-three million, nine hundred fifty-five thousand, three hundred twenty-eight".