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14233155440 = 245731972633
BaseRepresentation
bin11010100000101110…
…01011011101110000
31100201221012012201012
431100113023131300
5213122141433230
610312201530052
71012465553000
oct152027133560
940657165635
1014233155440
116044277389
1229127a3928
13145aa0448a
1499044a000
1558483b395
hex3505cb770

14233155440 has 160 divisors (see below), whose sum is σ = 38801980800. Its totient is φ = 4853323776.

The previous prime is 14233155439. The next prime is 14233155491. The reversal of 14233155440 is 4455133241.

14233155440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14233155397 and 14233155406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5404364 + ... + 5406996.

It is an arithmetic number, because the mean of its divisors is an integer number (242512380).

Almost surely, 214233155440 is an apocalyptic number.

14233155440 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 14233155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19400990400).

14233155440 is an abundant number, since it is smaller than the sum of its proper divisors (24568825360).

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

14233155440 is a wasteful number, since it uses less digits than its factorization.

14233155440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 14233155440 its reverse (4455133241), we get a palindrome (18688288681).

The spelling of 14233155440 in words is "fourteen billion, two hundred thirty-three million, one hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 197 245 280 343 392 394 490 560 686 784 788 980 985 1372 1379 1576 1715 1960 1970 2633 2744 2758 3152 3430 3920 3940 5266 5488 5516 6860 6895 7880 9653 10532 11032 13165 13720 13790 15760 18431 19306 21064 22064 26330 27440 27580 36862 38612 42128 48265 52660 55160 67571 73724 77224 92155 96530 105320 110320 129017 135142 147448 154448 184310 193060 210640 258034 270284 294896 337855 368620 386120 516068 518701 540568 645085 675710 737240 772240 903119 1032136 1037402 1081136 1290170 1351420 1474480 1806238 2064272 2074804 2580340 2593505 2702840 3612476 3630907 4149608 4515595 5160680 5187010 5405680 7224952 7261814 8299216 9031190 10321360 10374020 14449904 14523628 18062380 18154535 20748040 25416349 29047256 36124760 36309070 41496080 50832698 58094512 72249520 72618140 101665396 127081745 145236280 177914443 203330792 254163490 290472560 355828886 406661584 508326980 711657772 889572215 1016653960 1423315544 1779144430 2033307920 2846631088 3558288860 7116577720 14233155440