Search a number
-
+
142917418560 = 2635767331601
BaseRepresentation
bin1000010100011010001…
…0101011111001000000
3111122220011100002122110
42011012202223321000
54320143324343220
6145353320135320
713216425004530
oct2050642537100
9448804302573
10142917418560
115567a17a964
1223846907540
1310628121177
146cbac994c0
153ab6e01be0
hex21468abe40

142917418560 has 224 divisors, whose sum is σ = 519373055232. Its totient is φ = 32617267200.

The previous prime is 142917418489. The next prime is 142917418583. The reversal of 142917418560 is 65814719241.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4506760 + ... + 4538360.

Almost surely, 2142917418560 is an apocalyptic number.

142917418560 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 142917418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259686527616).

142917418560 is an abundant number, since it is smaller than the sum of its proper divisors (376455636672).

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

142917418560 is a wasteful number, since it uses less digits than its factorization.

142917418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32301 (or 32291 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 142917418560 in words is "one hundred forty-two billion, nine hundred seventeen million, four hundred eighteen thousand, five hundred sixty".