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14113140245505 = 3257150323298049
BaseRepresentation
bin1100110101011111100010…
…1101100000010000000001
31211222012111000020221010200
43031113320231200100001
53322212202400324010
650003253115115413
72654432525515530
oct315277055402001
954865430227120
1014113140245505
114551392815714
1216bb27a142b69
137b4b2bbca392
1436b118724317
151971ada3dcc0
hexcd5f8b60401

14113140245505 has 48 divisors (see below), whose sum is σ = 27957738556800. Its totient is φ = 6451656689664.

The previous prime is 14113140245473. The next prime is 14113140245531. The reversal of 14113140245505 is 50554204131141.

14113140245505 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 3 + 140 + 2 + 4 + 5 + 505 = 666.

It is not a de Polignac number, because 14113140245505 - 25 = 14113140245473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14113140245505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47202721 + ... + 47500769.

It is an arithmetic number, because the mean of its divisors is an integer number (582452886600).

Almost surely, 214113140245505 is an apocalyptic number.

14113140245505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14113140245505 is a deficient number, since it is larger than the sum of its proper divisors (13844598311295).

14113140245505 is a wasteful number, since it uses less digits than its factorization.

14113140245505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448390 (or 448387 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 14113140245505 its reverse (50554204131141), we get a palindrome (64667344376646).

The spelling of 14113140245505 in words is "fourteen trillion, one hundred thirteen billion, one hundred forty million, two hundred forty-five thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 150323 298049 450969 751615 894147 1052261 1352907 1490245 2086343 2254845 2682441 3156783 4470735 5261305 6259029 6764535 9470349 10431715 13412205 15783915 18777087 31295145 47351745 93885435 44803619827 134410859481 224018099135 313625338789 403232578443 672054297405 940876016367 1568126693945 2016162892215 2822628049101 4704380081835 14113140245505