Search a number
-
+
142197612480 = 26355711217127
BaseRepresentation
bin1000010001101110100…
…0110101111111000000
3111121000222220011100000
42010123220311333000
54312210042044410
6145154044200000
713162534522530
oct2043350657700
9447028804300
10142197612480
115533a932a00
1223685839000
1310541c68a01
146c4d4474c0
153a73b1adc0
hex211ba35fc0

142197612480 has 2016 divisors, whose sum is σ = 679955447808. Its totient is φ = 27590492160.

The previous prime is 142197612433. The next prime is 142197612547. The reversal of 142197612480 is 84216791241.

142197612480 is a `hidden beast` number, since 1 + 4 + 21 + 9 + 7 + 612 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1119666177 + ... + 1119666303.

It is an arithmetic number, because the mean of its divisors is an integer number (337279488).

Almost surely, 2142197612480 is an apocalyptic number.

142197612480 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 142197612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339977723904).

142197612480 is an abundant number, since it is smaller than the sum of its proper divisors (537757835328).

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

142197612480 is a wasteful number, since it uses less digits than its factorization.

142197612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

It can be divided in two parts, 14219761 and 2480, that added together give a palindrome (14222241).

The spelling of 142197612480 in words is "one hundred forty-two billion, one hundred ninety-seven million, six hundred twelve thousand, four hundred eighty".