Search a number
-
+
142361850146880 = 263571322347611901
BaseRepresentation
bin100000010111101000110011…
…100000011111000001000000
3200200001122211002222102110010
4200113220303200133001000
5122124424032114200010
61222440044152304520
741662206234220440
oct4027506340370100
9620048732872403
10142361850146880
11413a735a0510a1
1213b7281b6a2140
13615888492ab00
1427224c9380120
15116d259a3c620
hex817a3381f040

142361850146880 has 2688 divisors, whose sum is σ = 606192725753856. Its totient is φ = 27644018688000.

The previous prime is 142361850146851. The next prime is 142361850146891. The reversal of 142361850146880 is 88641058163241.

It is a self number, because there is not a number n which added to its sum of digits gives 142361850146880.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 74887873930 + ... + 74887875830.

Almost surely, 2142361850146880 is an apocalyptic number.

142361850146880 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 142361850146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303096362876928).

142361850146880 is an abundant number, since it is smaller than the sum of its proper divisors (463830875606976).

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

142361850146880 is a wasteful number, since it uses less digits than its factorization.

142361850146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 142361850146880 in words is "one hundred forty-two trillion, three hundred sixty-one billion, eight hundred fifty million, one hundred forty-six thousand, eight hundred eighty".