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213211444423344 = 2437360848014961
BaseRepresentation
bin110000011110101000101000…
…011010000010101010110000
31000221220211000011010012210120
4300132220220122002222300
5210421224014233021334
62033243552501530240
762624006232121023
oct6036505032025260
91027824004105716
10213211444423344
1161a32513a69954
121bab5981413980
1391c79a32873a3
143a916bba471ba
15199b1bb775949
hexc1ea28682ab0

213211444423344 has 40 divisors (see below), whose sum is σ = 558341385291312. Its totient is φ = 70096913233920.

The previous prime is 213211444423343. The next prime is 213211444423361. The reversal of 213211444423344 is 443324444112312.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213211444423296 and 213211444423305.

It is not an unprimeable number, because it can be changed into a prime (213211444423343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30424003977 + ... + 30424010984.

Almost surely, 2213211444423344 is an apocalyptic number.

213211444423344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213211444423344 is an abundant number, since it is smaller than the sum of its proper divisors (345129940867968).

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

213211444423344 is a wasteful number, since it uses less digits than its factorization.

213211444423344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60848015045 (or 60848015039 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

Adding to 213211444423344 its reverse (443324444112312), we get a palindrome (656535888535656).

The spelling of 213211444423344 in words is "two hundred thirteen trillion, two hundred eleven billion, four hundred forty-four million, four hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 60848014961 121696029922 182544044883 243392059844 365088089766 486784119688 730176179532 973568239376 1460352359064 2920704718128 4441905092153 8883810184306 13325715276459 17767620368612 26651430552918 35535240737224 53302861105836 71070481474448 106605722211672 213211444423344