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14041005013332 = 22331112019840989
BaseRepresentation
bin1100110001010010110100…
…0111011011100101010100
31211201022021210002110101000
43030110231013123211110
53320021434240411312
645510203150503300
72646300123252303
oct314245507334524
954638253073330
1014041005013332
114523836311060
1216a92a8204b30
137ab0a42aa54b
143678342d043a
1519538ac56adc
hexcc52d1db954

14041005013332 has 96 divisors (see below), whose sum is σ = 39745003132800. Its totient is φ = 4251306816000.

The previous prime is 14041005013249. The next prime is 14041005013349. The reversal of 14041005013332 is 23331050014041.

It is a happy number.

14041005013332 is a `hidden beast` number, since 1 + 40 + 410 + 0 + 50 + 133 + 32 = 666.

14041005013332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 14041005013296 and 14041005013305.

It is a congruent number.

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, 3493707 + ... + 6347282.

It is an arithmetic number, because the mean of its divisors is an integer number (414010449300).

Almost surely, 214041005013332 is an apocalyptic number.

14041005013332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14041005013332 is an abundant number, since it is smaller than the sum of its proper divisors (25703998119468).

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

14041005013332 is a wasteful number, since it uses less digits than its factorization.

14041005013332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9842214 (or 9842206 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 14041005013332 its reverse (23331050014041), we get a palindrome (37372055027373).

The spelling of 14041005013332 in words is "fourteen trillion, forty-one billion, five million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1201 2402 3603 4804 7206 10809 13211 14412 21618 26422 32427 39633 43236 52844 64854 79266 118899 129708 158532 237798 356697 475596 713394 1426788 9840989 19681978 29522967 39363956 59045934 88568901 108250879 118091868 177137802 216501758 265706703 324752637 354275604 433003516 531413406 649505274 974257911 1062826812 1299010548 1948515822 2922773733 3897031644 5845547466 11691094932 11819027789 23638055578 35457083367 47276111156 70914166734 106371250101 130009305679 141828333468 212742500202 260018611358 319113750303 390027917037 425485000404 520037222716 638227500606 780055834074 1170083751111 1276455001212 1560111668148 2340167502222 3510251253333 4680335004444 7020502506666 14041005013332