Search a number
-
+
142446919680 = 215335132477
BaseRepresentation
bin1000010010101001111…
…1111000000000000000
3111121200101000021112000
42010222133320000000
54313212402412210
6145234511504000
713201652560632
oct2045237700000
9447611007460
10142446919680
115545863310a
1223735228000
13105817c7c70
146c745c2a52
153a8a964ac0
hex212a7f8000

142446919680 has 512 divisors, whose sum is σ = 545649652800. Its totient is φ = 35049701376.

The previous prime is 142446919679. The next prime is 142446919717. The reversal of 142446919680 is 86919644241.

142446919680 is a `hidden beast` number, since 1 + 4 + 2 + 446 + 9 + 196 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×1424469196802 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57506602 + ... + 57509078.

Almost surely, 2142446919680 is an apocalyptic number.

142446919680 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 142446919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272824826400).

142446919680 is an abundant number, since it is smaller than the sum of its proper divisors (403202733120).

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

142446919680 is an equidigital number, since it uses as much as digits as its factorization.

142446919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 142446919680 in words is "one hundred forty-two billion, four hundred forty-six million, nine hundred nineteen thousand, six hundred eighty".