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14311104427737 = 351331146137553
BaseRepresentation
bin1101000001000001000001…
…0010111011011011011001
31212200010110110210100200000
43100100100102323123121
53333433120213141422
650234233002403213
73004641336352005
oct320202022733331
955603413710600
1014311104427737
11461833a3a5897
121731707b00509
137ca6ba511150
143769382a5705
1519c3e83c7cac
hexd04104bb6d9

14311104427737 has 48 divisors (see below), whose sum is σ = 23830943205888. Its totient is φ = 8522742032640.

The previous prime is 14311104427717. The next prime is 14311104427811. The reversal of 14311104427737 is 73772440111341.

14311104427737 is a `hidden beast` number, since 1 + 43 + 1 + 110 + 4 + 427 + 73 + 7 = 666.

It is not a de Polignac number, because 14311104427737 - 210 = 14311104426713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14311104427692 and 14311104427701.

It is not an unprimeable number, because it can be changed into a prime (14311104427717) by changing a digit.

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, 72970848 + ... + 73166705.

It is an arithmetic number, because the mean of its divisors is an integer number (496477983456).

Almost surely, 214311104427737 is an apocalyptic number.

It is an amenable number.

14311104427737 is a deficient number, since it is larger than the sum of its proper divisors (9519838778151).

14311104427737 is a wasteful number, since it uses less digits than its factorization.

14311104427737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146137612 (or 146137600 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 14311104427737 in words is "fourteen trillion, three hundred eleven billion, one hundred four million, four hundred twenty-seven thousand, seven hundred thirty-seven".

Divisors: 1 3 9 13 27 31 39 81 93 117 243 279 351 403 837 1053 1209 2511 3159 3627 7533 10881 32643 97929 146137553 438412659 1315237977 1899788189 3945713931 4530264143 5699364567 11837141793 13590792429 17098093701 35511425379 40772377287 51294281103 58893433859 122317131861 153882843309 176680301577 366951395583 461648529927 530040904731 1100854186749 1590122714193 4770368142579 14311104427737