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2442321414 = 232133151409
BaseRepresentation
bin1001000110010010…
…1101111000000110
320022012122210010200
42101210231320012
520000213241124
61042203231330
7114344250411
oct22144557006
96265583120
102442321414
111043699255
12581b18546
132cbcb6000
14192518b78
15e4635bc9
hex9192de06

2442321414 has 96 divisors (see below), whose sum is σ = 5784542400. Its totient is φ = 744681600.

The previous prime is 2442321407. The next prime is 2442321437. The reversal of 2442321414 is 4141232442.

2442321414 is a `hidden beast` number, since 2 + 442 + 3 + 214 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5971242 + ... + 5971650.

It is an arithmetic number, because the mean of its divisors is an integer number (60255650).

Almost surely, 22442321414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442321414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892271200).

2442321414 is an abundant number, since it is smaller than the sum of its proper divisors (3342220986).

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

2442321414 is a wasteful number, since it uses less digits than its factorization.

2442321414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 578 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2442321414 is about 49419.8483809896. The cubic root of 2442321414 is about 1346.6899086628.

Adding to 2442321414 its reverse (4141232442), we get a palindrome (6583553856).

The spelling of 2442321414 in words is "two billion, four hundred forty-two million, three hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 151 169 234 302 338 409 453 507 818 906 1014 1227 1359 1521 1963 2197 2454 2718 3042 3681 3926 4394 5317 5889 6591 7362 10634 11778 13182 15951 17667 19773 25519 31902 35334 39546 47853 51038 61759 69121 76557 95706 123518 138242 153114 185277 207363 229671 331747 370554 414726 459342 555831 622089 663494 802867 898573 995241 1111662 1244178 1605734 1797146 1990482 2408601 2695719 2985723 4817202 5391438 5971446 7225803 8087157 10437271 14451606 16174314 20874542 31311813 62623626 93935439 135684523 187870878 271369046 407053569 814107138 1221160707 2442321414