Search a number
-
+
140442467200 = 27527217194759
BaseRepresentation
bin1000001011001100000…
…1011111101110000000
3111102111200021112122021
42002303001133232000
54300111232422300
6144303545251224
713101203163100
oct2026301375600
9442450245567
10140442467200
115461a125312
1223275a93b14
13103224520c9
146b242c9200
1539be9c2d1a
hex20b305fb80

140442467200 has 1152 divisors, whose sum is σ = 467166528000. Its totient is φ = 41308323840.

The previous prime is 140442467167. The next prime is 140442467279. The reversal of 140442467200 is 2764244041.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2380380771 + ... + 2380380829.

It is an arithmetic number, because the mean of its divisors is an integer number (405526500).

Almost surely, 2140442467200 is an apocalyptic number.

140442467200 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 140442467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233583264000).

140442467200 is an abundant number, since it is smaller than the sum of its proper divisors (326724060800).

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

140442467200 is a wasteful number, since it uses less digits than its factorization.

140442467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The spelling of 140442467200 in words is "one hundred forty billion, four hundred forty-two million, four hundred sixty-seven thousand, two hundred".