Search a number
-
+
211731054444 = 2232713247139761
BaseRepresentation
bin1100010100110000100…
…1110111111101101100
3202020111220022222220100
43011030021313331230
511432111122220234
6241133511151100
721203615160630
oct3051411677554
9666456288810
10211731054444
118188172a018
1235050375490
1316c73839b00
14a3680d0dc0
1557932bc399
hex314c277f6c

211731054444 has 432 divisors, whose sum is σ = 682192143360. Its totient is φ = 54188559360.

The previous prime is 211731054307. The next prime is 211731054461. The reversal of 211731054444 is 444450137112.

211731054444 is a `hidden beast` number, since 2 + 1 + 1 + 73 + 1 + 0 + 544 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 211731054399 and 211731054408.

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, 278227024 + ... + 278227784.

It is an arithmetic number, because the mean of its divisors is an integer number (1579148480).

Almost surely, 2211731054444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211731054444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341096071680).

211731054444 is an abundant number, since it is smaller than the sum of its proper divisors (470461088916).

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

211731054444 is a wasteful number, since it uses less digits than its factorization.

211731054444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 211731054444 in words is "two hundred eleven billion, seven hundred thirty-one million, fifty-four thousand, four hundred forty-four".