Search a number
-
+
142686470160 = 2436513231467
BaseRepresentation
bin1000010011100011000…
…1101100000000010000
3111122022001202201000000
42010320301230000100
54314210214021120
6145314350130000
713210621661553
oct2047061540020
9448261681000
10142686470160
1155570879a13
12237a14b0900
13105bc31c300
146c9833c69a
153aa19d2990
hex2138c6c010

142686470160 has 840 divisors, whose sum is σ = 557160125184. Its totient is φ = 33917045760.

The previous prime is 142686470149. The next prime is 142686470189. The reversal of 142686470160 is 61074686241.

142686470160 is a `hidden beast` number, since 1 + 42 + 6 + 86 + 470 + 1 + 60 = 666.

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 167 ways as a sum of consecutive naturals, for example, 305538247 + ... + 305538713.

Almost surely, 2142686470160 is an apocalyptic number.

142686470160 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 142686470160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278580062592).

142686470160 is an abundant number, since it is smaller than the sum of its proper divisors (414473655024).

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

142686470160 is a wasteful number, since it uses less digits than its factorization.

142686470160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 142686470160 in words is "one hundred forty-two billion, six hundred eighty-six million, four hundred seventy thousand, one hundred sixty".