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212144232342 = 23767181416513
BaseRepresentation
bin1100010110010011001…
…0000001011110010110
3202021120200210121102110
43011210302001132112
511433432410413332
6241242511051450
721220063136130
oct3054462013626
9667520717373
10212144232342
1181a73985759
1235146810b86
131700b313583
14a3a6d26050
1557b96d54cc
hex3164c81796

212144232342 has 64 divisors (see below), whose sum is σ = 494858617344. Its totient is φ = 59377950720.

The previous prime is 212144232301. The next prime is 212144232343. The reversal of 212144232342 is 243232441212.

212144232342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212144232343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301078 + ... + 717590.

It is an arithmetic number, because the mean of its divisors is an integer number (7732165896).

Almost surely, 2212144232342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212144232342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247429308672).

212144232342 is an abundant number, since it is smaller than the sum of its proper divisors (282714385002).

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

212144232342 is a wasteful number, since it uses less digits than its factorization.

212144232342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416773.

The product of its digits is 18432, while the sum is 30.

Adding to 212144232342 its reverse (243232441212), we get a palindrome (455376673554).

The spelling of 212144232342 in words is "two hundred twelve billion, one hundred forty-four million, two hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 67 134 181 201 362 402 469 543 938 1086 1267 1407 2534 2814 3801 7602 12127 24254 36381 72762 84889 169778 254667 416513 509334 833026 1249539 2499078 2915591 5831182 8746773 17493546 27906371 55812742 75388853 83719113 150777706 167438226 195344597 226166559 390689194 452333118 527721971 586033791 1055443942 1172067582 1583165913 3166331826 5051053151 10102106302 15153159453 30306318906 35357372057 70714744114 106072116171 212144232342