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212431043440 = 245711595771013
BaseRepresentation
bin1100010111010111100…
…0000111101101110000
3202022022200111010021201
43011311320013231300
511440024321342230
6241331154300544
721230145035110
oct3056570075560
9668280433251
10212431043440
1182100871120
1235206887754
1317055874195
14a3d3065040
1557d498b5ca
hex3175e07b70

212431043440 has 320 divisors, whose sum is σ = 627915525120. Its totient is φ = 64913080320.

The previous prime is 212431043423. The next prime is 212431043471. The reversal of 212431043440 is 44340134212.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 212431043399 and 212431043408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209704374 + ... + 209705386.

It is an arithmetic number, because the mean of its divisors is an integer number (1962236016).

Almost surely, 2212431043440 is an apocalyptic number.

212431043440 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 212431043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313957762560).

212431043440 is an abundant number, since it is smaller than the sum of its proper divisors (415484481680).

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

212431043440 is a wasteful number, since it uses less digits than its factorization.

212431043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 212431043440 its reverse (44340134212), we get a palindrome (256771177652).

The spelling of 212431043440 in words is "two hundred twelve billion, four hundred thirty-one million, forty-three thousand, four hundred forty".