Search a number
-
+
212140114043200 = 26527283472114177
BaseRepresentation
bin110000001111000010111000…
…001000111110000101000000
31000211010101201022000000222021
4300033002320020332011000
5210301200423143340300
62031103453433451224
762453421534131020
oct6017027010760500
91024111638000867
10212140114043200
116165a131994672
121b962212b70b14
13914a95b060225
143a558ca039a80
15197d3b7c0bd1a
hexc0f0b823e140

212140114043200 has 336 divisors, whose sum is σ = 598845370621824. Its totient is φ = 72456280473600.

The previous prime is 212140114043191. The next prime is 212140114043213. The reversal of 212140114043200 is 2340411041212.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14963674512 + ... + 14963688688.

Almost surely, 2212140114043200 is an apocalyptic number.

212140114043200 is a gapful number since it is divisible by the number (20) 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 212140114043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299422685310912).

212140114043200 is an abundant number, since it is smaller than the sum of its proper divisors (386705256578624).

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

212140114043200 is a wasteful number, since it uses less digits than its factorization.

212140114043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19210 (or 19195 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 212140114043200 its reverse (2340411041212), we get a palindrome (214480525084412).

The spelling of 212140114043200 in words is "two hundred twelve trillion, one hundred forty billion, one hundred fourteen million, forty-three thousand, two hundred".