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43242124224 = 26313109158941
BaseRepresentation
bin101000010001011011…
…100111001111000000
311010121121200111211110
4220101123213033000
51202024440433344
631510512443320
73060402664005
oct502133471700
9133547614743
1043242124224
1117380062a52
128469849540
13410197c770
142142ddd8ac
1511d14563b9
hexa116e73c0

43242124224 has 112 divisors (see below), whose sum is σ = 124343505440. Its totient is φ = 13183119360.

The previous prime is 43242124207. The next prime is 43242124229. The reversal of 43242124224 is 42242124234.

It is a happy number.

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 = 43242124191 and 43242124200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43242124229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192594 + ... + 351534.

It is an arithmetic number, because the mean of its divisors is an integer number (1110209870).

Almost surely, 243242124224 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 43242124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62171752720).

43242124224 is an abundant number, since it is smaller than the sum of its proper divisors (81101381216).

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

43242124224 is a wasteful number, since it uses less digits than its factorization.

43242124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159078 (or 159068 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

Adding to 43242124224 its reverse (42242124234), we get a palindrome (85484248458).

The spelling of 43242124224 in words is "forty-three billion, two hundred forty-two million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 109 156 192 208 218 312 327 416 436 624 654 832 872 1248 1308 1417 1744 2496 2616 2834 3488 4251 5232 5668 6976 8502 10464 11336 17004 20928 22672 34008 45344 68016 90688 136032 158941 272064 317882 476823 635764 953646 1271528 1907292 2066233 2543056 3814584 4132466 5086112 6198699 7629168 8264932 10172224 12397398 15258336 16529864 17324569 24794796 30516672 33059728 34649138 49589592 51973707 66119456 69298276 99179184 103947414 132238912 138596552 198358368 207894828 225219397 277193104 396716736 415789656 450438794 554386208 675658191 831579312 900877588 1108772416 1351316382 1663158624 1801755176 2702632764 3326317248 3603510352 5405265528 7207020704 10810531056 14414041408 21621062112 43242124224