Search a number
-
+
142365217680 = 2434573138563
BaseRepresentation
bin1000010010010110100…
…0001101001110010000
3111121110200021101110000
42010211220031032100
54313030443431210
6145222432410000
713166641245450
oct2044550151620
9447420241400
10142365217680
11554164aa1a4
12237119a6900
131056a8bcc9a
146c677d5d60
153a836c6ac0
hex2125a0d390

142365217680 has 200 divisors, whose sum is σ = 565092171072. Its totient is φ = 32540610816.

The previous prime is 142365217651. The next prime is 142365217693. The reversal of 142365217680 is 86712563241.

142365217680 is a `hidden beast` number, since 1 + 42 + 3 + 6 + 521 + 7 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1523922 + ... + 1614641.

Almost surely, 2142365217680 is an apocalyptic number.

142365217680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142365217680 is an abundant number, since it is smaller than the sum of its proper divisors (422726953392).

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

142365217680 is a wasteful number, since it uses less digits than its factorization.

142365217680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138595 (or 3138580 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 142365217680 in words is "one hundred forty-two billion, three hundred sixty-five million, two hundred seventeen thousand, six hundred eighty".