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14355041000041 = 731731220735983
BaseRepresentation
bin1101000011100100101100…
…0111101001101001101001
31212211022212111012111011201
43100321023013221221221
53340143110444000131
650310340443524201
73011055204145000
oct320711307515151
955738774174151
1014355041000041
114634a36455975
12173a12a229661
138018a0007c21
14378b055d5c37
1519d61a7a6761
hexd0e4b1e9a69

14355041000041 has 64 divisors (see below), whose sum is σ = 18305895628800. Its totient is φ = 11201582327040.

The previous prime is 14355041000029. The next prime is 14355041000051. The reversal of 14355041000041 is 14000014055341.

14355041000041 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 14355041000041 - 217 = 14355040868969 is a prime.

It is a super-2 number, since 2×143550410000412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14355040999973 and 14355041000009.

It is not an unprimeable number, because it can be changed into a prime (14355041000051) 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, 398921536 + ... + 398957518.

It is an arithmetic number, because the mean of its divisors is an integer number (286029619200).

Almost surely, 214355041000041 is an apocalyptic number.

It is an amenable number.

14355041000041 is a deficient number, since it is larger than the sum of its proper divisors (3950854628759).

14355041000041 is a wasteful number, since it uses less digits than its factorization.

14355041000041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38259 (or 38245 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 14355041000041 its reverse (14000014055341), we get a palindrome (28355055055382).

The spelling of 14355041000041 in words is "fourteen trillion, three hundred fifty-five billion, forty-one million, forty-one", and thus it is an aban number.

Divisors: 1 7 17 31 49 119 217 343 527 833 1519 2207 3689 5831 10633 15449 25823 35983 37519 68417 108143 180761 251881 262633 478919 611711 757001 1115473 1163089 1763167 1838431 3352433 4281977 7808311 8141623 12342169 12869017 18963041 23467031 29973839 54658177 56991361 79414481 132741287 209816873 382607239 398939527 555901367 929189009 1350046177 2461848911 3891309569 6504323063 9450323239 17232942377 27239166983 41851431487 66152262673 120630596639 292960020409 463065838711 844414176473 2050720142863 14355041000041