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17242841344 = 282922832
BaseRepresentation
bin10000000011110000…
…001110000100000000
31122111200110002121111
4100003300032010000
5240303131410334
611530553533104
71150202506321
oct200360160400
948450402544
1017242841344
117349152a03
123412714194
13181a3ca601
14b98054448
156adb95064
hex403c0e100

17242841344 has 81 divisors (see below), whose sum is σ = 35772495213. Its totient is φ = 8294716416.

The previous prime is 17242841323. The next prime is 17242841393. The reversal of 17242841344 is 44314824271.

The square root of 17242841344 is 131312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9041727744 + 8201113600 = 95088^2 + 90560^2 .

It is a super-2 number, since 2×172428413442 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17242841297 and 17242841306.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60928627 + ... + 60928909.

Almost surely, 217242841344 is an apocalyptic number.

17242841344 is the 131312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17242841344

17242841344 is an abundant number, since it is smaller than the sum of its proper divisors (18529653869).

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

17242841344 is an frugal number, since it uses more digits than its factorization.

17242841344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 314 counting only the distinct ones).

The product of its digits is 172032, while the sum is 40.

The spelling of 17242841344 in words is "seventeen billion, two hundred forty-two million, eight hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 283 464 566 841 928 1132 1682 1856 2264 3364 3712 4528 6728 7424 8207 9056 13456 16414 18112 26912 32828 36224 53824 65656 72448 80089 107648 131312 160178 215296 238003 262624 320356 476006 525248 640712 952012 1050496 1281424 1904024 2100992 2322581 2562848 3808048 4645162 5125696 7616096 9290324 10251392 15232192 18580648 20502784 30464384 37161296 60928768 67354849 74322592 134709698 148645184 269419396 297290368 538838792 594580736 1077677584 2155355168 4310710336 8621420672 17242841344