Search a number
-
+
140015563200 = 26345217103617
BaseRepresentation
bin1000001001100110010…
…0111111000111000000
3111101101220222120110000
42002121210333013000
54243222441010300
6144153335240000
713054500436032
oct2023144770700
9441356876400
10140015563200
1154420153a97
1223176b19000
1310284b80aa6
146ac371dc52
153997297c00
hex209993f1c0

140015563200 has 840 divisors, whose sum is σ = 551118645792. Its totient is φ = 34743582720.

The previous prime is 140015563199. The next prime is 140015563213. The reversal of 140015563200 is 2365510041.

140015563200 is a `hidden beast` number, since 1 + 400 + 1 + 5 + 56 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 226929292 + ... + 226929908.

Almost surely, 2140015563200 is an apocalyptic number.

140015563200 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 140015563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275559322896).

140015563200 is an abundant number, since it is smaller than the sum of its proper divisors (411103082592).

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

140015563200 is a wasteful number, since it uses less digits than its factorization.

140015563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 140015563200 in words is "one hundred forty billion, fifteen million, five hundred sixty-three thousand, two hundred".