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13431431230224 = 243741223780189
BaseRepresentation
bin1100001101110011111110…
…1011111111001100010000
31202120000212112110211102020
43003130333223333030100
53230030032343331344
644322151521051440
72554250246505210
oct303347753771420
952500775424366
1013431431230224
114309268855617
12160b127186b80
1376576a053227
14346128754240
151845b066c719
hexc373faff310

13431431230224 has 120 divisors (see below), whose sum is σ = 40645481231040. Its totient is φ = 3743952798720.

The previous prime is 13431431230223. The next prime is 13431431230267. The reversal of 13431431230224 is 42203213413431.

It is not an unprimeable number, because it can be changed into a prime (13431431230223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11325279 + ... + 12454910.

It is an arithmetic number, because the mean of its divisors is an integer number (338712343592).

Almost surely, 213431431230224 is an apocalyptic number.

13431431230224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13431431230224 is an abundant number, since it is smaller than the sum of its proper divisors (27214050000816).

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

13431431230224 is a wasteful number, since it uses less digits than its factorization.

13431431230224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23780289 (or 23780242 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 13431431230224 its reverse (42203213413431), we get a palindrome (55634644643655).

The spelling of 13431431230224 in words is "thirteen trillion, four hundred thirty-one billion, four hundred thirty-one million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1681 1722 1968 2296 3362 3444 4592 5043 6724 6888 10086 11767 13448 13776 20172 23534 26896 35301 40344 47068 70602 80688 94136 141204 188272 282408 564816 23780189 47560378 71340567 95120756 142681134 166461323 190241512 285362268 332922646 380483024 499383969 570724536 665845292 974987749 998767938 1141449072 1331690584 1949975498 1997535876 2663381168 2924963247 3899950996 3995071752 5849926494 6824914243 7799901992 7990143504 11699852988 13649828486 15599803984 20474742729 23399705976 27299656972 39974497709 40949485458 46799411952 54599313944 79948995418 81898970916 109198627888 119923493127 159897990836 163797941832 239846986254 279821483963 319795981672 327595883664 479693972508 559642967926 639591963344 839464451889 959387945016 1119285935852 1678928903778 1918775890032 2238571871704 3357857807556 4477143743408 6715715615112 13431431230224