Search a number
-
+
13454332430 = 2571123314799
BaseRepresentation
bin11001000011111000…
…01101001000001110
31021201122200220101112
430201330031020032
5210023302114210
610103021012022
7654260636660
oct144174151016
937648626345
1013454332430
115784690100
1227359b4012
131365557666
14918c34530
1553b298d05
hex321f0d20e

13454332430 has 96 divisors (see below), whose sum is σ = 30520627200. Its totient is φ = 4180017600.

The previous prime is 13454332387. The next prime is 13454332469. The reversal of 13454332430 is 3423345431.

It is a super-2 number, since 2×134543324302 (a number of 21 digits) contains 22 as substring.

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, 2801171 + ... + 2805969.

It is an arithmetic number, because the mean of its divisors is an integer number (317923200).

Almost surely, 213454332430 is an apocalyptic number.

13454332430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13454332430 is an abundant number, since it is smaller than the sum of its proper divisors (17066294770).

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

13454332430 is a wasteful number, since it uses less digits than its factorization.

13454332430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5166 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 13454332430 its reverse (3423345431), we get a palindrome (16877677861).

The spelling of 13454332430 in words is "thirteen billion, four hundred fifty-four million, three hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 121 154 242 331 385 605 662 770 847 1210 1655 1694 2317 3310 3641 4235 4634 4799 7282 8470 9598 11585 18205 23170 23995 25487 33593 36410 40051 47990 50974 52789 67186 80102 105578 127435 167965 200255 254870 263945 280357 335930 369523 400510 527890 560714 580679 739046 1161358 1401785 1588469 1847615 2803570 2903395 3176938 3695230 4064753 5806790 7942345 8129506 11119283 15884690 17473159 20323765 22238566 34946318 40647530 55596415 87365795 111192830 122312113 174731590 192204749 244624226 384409498 611560565 961023745 1223121130 1345433243 1922047490 2690866486 6727166215 13454332430