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14413020511230 = 235511539207651
BaseRepresentation
bin1101000110111100101011…
…1101111011101111111110
31220000212112011212211100000
43101233022331323233332
53342120331222324410
650353130014015130
73015210040644525
oct321571275735776
956025464784300
1014413020511230
114657589371870
12174940b4a74a6
138071acc95cb3
1437b8459b94bc
1519edb094adc0
hexd1bcaf7bbfe

14413020511230 has 96 divisors (see below), whose sum is σ = 42394662430848. Its totient is φ = 3494065572000.

The previous prime is 14413020511187. The next prime is 14413020511237. The reversal of 14413020511230 is 3211502031441.

14413020511230 is a `hidden beast` number, since 1 + 4 + 413 + 0 + 2 + 0 + 5 + 11 + 230 = 666.

It is a super-2 number, since 2×144130205112302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14413020511194 and 14413020511203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14413020511237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269577096 + ... + 269630555.

It is an arithmetic number, because the mean of its divisors is an integer number (441611066988).

Almost surely, 214413020511230 is an apocalyptic number.

14413020511230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14413020511230 is an abundant number, since it is smaller than the sum of its proper divisors (27981641919618).

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

14413020511230 is a wasteful number, since it uses less digits than its factorization.

14413020511230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539207684 (or 539207672 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 14413020511230 its reverse (3211502031441), we get a palindrome (17624522542671).

The spelling of 14413020511230 in words is "fourteen trillion, four hundred thirteen billion, twenty million, five hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 810 891 990 1215 1485 1782 2430 2673 2970 4455 5346 8910 13365 26730 539207651 1078415302 1617622953 2696038255 3235245906 4852868859 5392076510 5931284161 8088114765 9705737718 11862568322 14558606577 16176229530 17793852483 24264344295 29117213154 29656420805 35587704966 43675819731 48528688590 53381557449 59312841610 72793032885 87351639462 88969262415 106763114898 131027459193 145586065770 160144672347 177938524830 218379098655 262054918386 266907787245 320289344694 436758197310 480434017041 533815574490 655137295965 800723361735 960868034082 1310274591930 1441302051123 1601446723470 2402170085205 2882604102246 4804340170410 7206510255615 14413020511230