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14035020350445 = 335596967252919
BaseRepresentation
bin1100110000111100100001…
…1001110000001111101101
31211200201211200220002021000
43030033020121300033231
53314422210202203240
645503333242430513
72645665613412453
oct314171031601755
954621750802230
1014035020350445
114521245106276
1216a80b7b02439
137aa65c4516c3
143674275549d3
1519513a64d430
hexcc3c86703ed

14035020350445 has 64 divisors (see below), whose sum is σ = 25377790464000. Its totient is φ = 7357388666688.

The previous prime is 14035020350441. The next prime is 14035020350459. The reversal of 14035020350445 is 54405302053041.

14035020350445 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 5 + 0 + 203 + 5 + 0 + 445 = 666.

14035020350445 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14035020350445 - 22 = 14035020350441 is a prime.

It is a super-2 number, since 2×140350203504452 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14035020350441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55365696 + ... + 55618614.

It is an arithmetic number, because the mean of its divisors is an integer number (396527976000).

Almost surely, 214035020350445 is an apocalyptic number.

14035020350445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14035020350445 is a deficient number, since it is larger than the sum of its proper divisors (11342770113555).

14035020350445 is a wasteful number, since it uses less digits than its factorization.

14035020350445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259959 (or 259953 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 14035020350445 in words is "fourteen trillion, thirty-five billion, twenty million, three hundred fifty thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 45 59 135 177 295 531 885 1593 2655 6967 7965 20901 34835 62703 104505 188109 252919 313515 411053 758757 940545 1233159 1264595 2055265 2276271 3699477 3793785 6165795 6828813 11098431 11381355 14922221 18497385 34144065 44766663 55492155 74611105 134299989 223833315 402899967 671499945 1762086673 2014499835 5286260019 8810433365 15858780057 26431300095 47576340171 79293900285 103963113707 237881700855 311889341121 519815568535 935668023363 1559446705605 2807004070089 4678340116815 14035020350445