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14040231040 = 275114742433
BaseRepresentation
bin11010001001101110…
…01110110010000000
31100020111011122012001
431010313032302000
5212223244343130
610241110513344
71004633665123
oct150467166200
940214148161
1014040231040
115a55387430
12287a065854
131429a56924
1497298a3ba
1557292d6ca
hex344dcec80

14040231040 has 128 divisors (see below), whose sum is σ = 37396235520. Its totient is φ = 4996792320.

The previous prime is 14040230989. The next prime is 14040231041. The reversal of 14040231040 is 4013204041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 14040230999 and 14040231017.

It is not an unprimeable number, because it can be changed into a prime (14040231041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309664 + ... + 352096.

It is an arithmetic number, because the mean of its divisors is an integer number (292158090).

Almost surely, 214040231040 is an apocalyptic number.

14040231040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14040231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18698117760).

14040231040 is an abundant number, since it is smaller than the sum of its proper divisors (23356004480).

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

14040231040 is a wasteful number, since it uses less digits than its factorization.

14040231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42510 (or 42498 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 14040231040 its reverse (4013204041), we get a palindrome (18053435081).

The spelling of 14040231040 in words is "fourteen billion, forty million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 64 80 88 94 110 128 160 176 188 220 235 320 352 376 440 470 517 640 704 752 880 940 1034 1408 1504 1760 1880 2068 2585 3008 3520 3760 4136 5170 6016 7040 7520 8272 10340 15040 16544 20680 30080 33088 41360 42433 66176 82720 84866 165440 169732 212165 330880 339464 424330 466763 678928 848660 933526 1357856 1697320 1867052 1994351 2333815 2715712 3394640 3734104 3988702 4667630 5431424 6789280 7468208 7977404 9335260 9971755 13578560 14936416 15954808 18670520 19943510 21937861 27157120 29872832 31909616 37341040 39887020 43875722 59745664 63819232 74682080 79774040 87751444 109689305 127638464 149364160 159548080 175502888 219378610 255276928 298728320 319096160 351005776 438757220 638192320 702011552 877514440 1276384640 1404023104 1755028880 2808046208 3510057760 7020115520 14040231040