Search a number
-
+
142347502080 = 2932571914621
BaseRepresentation
bin1000010010010010010…
…0101000001000000000
3111121102102221100012200
42010210210220020000
54313011430031310
6145221000553200
713166334542460
oct2044444501000
9447372840180
10142347502080
11554074aa203
1223707a82800
1310567029594
146c65303ba0
153a81d779c0
hex2124928200

142347502080 has 480 divisors, whose sum is σ = 566488885248. Its totient is φ = 32359219200.

The previous prime is 142347502001. The next prime is 142347502139. The reversal of 142347502080 is 80205743241.

It is a happy number.

142347502080 is a `hidden beast` number, since 1 + 42 + 34 + 7 + 502 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1423475020802 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30802170 + ... + 30806790.

Almost surely, 2142347502080 is an apocalyptic number.

142347502080 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 142347502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283244442624).

142347502080 is an abundant number, since it is smaller than the sum of its proper divisors (424141383168).

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

142347502080 is a wasteful number, since it uses less digits than its factorization.

142347502080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4848 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 142347502080 in words is "one hundred forty-two billion, three hundred forty-seven million, five hundred two thousand, eighty".