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14110132040 = 2353761732141
BaseRepresentation
bin11010010010000011…
…11000011101001000
31100102100200222022222
431021001320131020
5212344143211130
610252045033212
71006443100124
oct151101703510
940370628288
1014110132040
115a90890054
122899555808
13143b38c374
1497bd84584
15578b39ce5
hex349078748

14110132040 has 128 divisors (see below), whose sum is σ = 33610036320. Its totient is φ = 5325004800.

The previous prime is 14110132031. The next prime is 14110132087. The reversal of 14110132040 is 4023101141.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 4052850244 + 10057281796 = 63662^2 + 100286^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6589370 + ... + 6591510.

Almost surely, 214110132040 is an apocalyptic number.

14110132040 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 14110132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805018160).

14110132040 is an abundant number, since it is smaller than the sum of its proper divisors (19499904280).

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

14110132040 is a wasteful number, since it uses less digits than its factorization.

14110132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 14110132040 its reverse (4023101141), we get a palindrome (18133233181).

The spelling of 14110132040 in words is "fourteen billion, one hundred ten million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 61 73 74 122 146 148 185 244 292 296 305 365 370 488 584 610 730 740 1220 1460 1480 2141 2257 2440 2701 2920 4282 4453 4514 5402 8564 8906 9028 10705 10804 11285 13505 17128 17812 18056 21410 21608 22265 22570 27010 35624 42820 44530 45140 54020 79217 85640 89060 90280 108040 130601 156293 158434 164761 178120 261202 312586 316868 329522 396085 522404 625172 633736 653005 659044 781465 792170 823805 1044808 1250344 1306010 1318088 1562930 1584340 1647610 2612020 3125860 3168680 3295220 4832237 5224040 5782841 6251720 6590440 9533873 9664474 11565682 19067746 19328948 23131364 24161185 28914205 38135492 38657896 46262728 47669365 48322370 57828410 76270984 95338730 96644740 115656820 190677460 193289480 231313640 352753301 381354920 705506602 1411013204 1763766505 2822026408 3527533010 7055066020 14110132040