Search a number
-
+
142122145440 = 25351149695417
BaseRepresentation
bin1000010001011100100…
…0111101011010100000
3111120211201220001000110
42010113020331122200
54312031232123230
6145142350451320
713160630206152
oct2042710753240
9446751801013
10142122145440
1155301278450
1223664503b40
131052c434962
146c43400ad2
153a6c1b04b0
hex211723d6a0

142122145440 has 192 divisors, whose sum is σ = 488571834240. Its totient is φ = 34440560640.

The previous prime is 142122145387. The next prime is 142122145441. The reversal of 142122145440 is 44541221241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 142122145398 and 142122145407.

It is not an unprimeable number, because it can be changed into a prime (142122145441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26233612 + ... + 26239028.

It is an arithmetic number, because the mean of its divisors is an integer number (2544644970).

Almost surely, 2142122145440 is an apocalyptic number.

142122145440 is a gapful number since it is divisible by the number (10) 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 142122145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244285917120).

142122145440 is an abundant number, since it is smaller than the sum of its proper divisors (346449688800).

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

142122145440 is a wasteful number, since it uses less digits than its factorization.

142122145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10415 (or 10407 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 142122145440 its reverse (44541221241), we get a palindrome (186663366681).

The spelling of 142122145440 in words is "one hundred forty-two billion, one hundred twenty-two million, one hundred forty-five thousand, four hundred forty".