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14040052350345 = 3257431307933587
BaseRepresentation
bin1100110001001111010001…
…0101010011110110001001
31211201012211101111011102200
43030103310111103312021
53320013011400202340
645505524435550413
72646234404615220
oct314236425236611
954635741434380
1014040052350345
11452339758a27a
1216a908115b409
137aac81b05638
14367783985cb7
151953322c6330
hexcc4f4553d89

14040052350345 has 96 divisors (see below), whose sum is σ = 27887089950720. Its totient is φ = 6401147679360.

The previous prime is 14040052350299. The next prime is 14040052350349. The reversal of 14040052350345 is 54305325004041.

14040052350345 is a `hidden beast` number, since 1 + 4 + 0 + 40 + 0 + 523 + 50 + 3 + 45 = 666.

14040052350345 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 14040052350345 - 214 = 14040052333961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14040052350349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418003642 + ... + 418037228.

It is an arithmetic number, because the mean of its divisors is an integer number (290490520320).

Almost surely, 214040052350345 is an apocalyptic number.

14040052350345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14040052350345 is a deficient number, since it is larger than the sum of its proper divisors (13847037600375).

14040052350345 is a wasteful number, since it uses less digits than its factorization.

14040052350345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37115 (or 37112 counting only the distinct ones).

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

Adding to 14040052350345 its reverse (54305325004041), we get a palindrome (68345377354386).

The spelling of 14040052350345 in words is "fourteen trillion, forty billion, fifty-two million, three hundred fifty thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 431 1293 2155 3017 3079 3879 6465 9051 9237 15085 15395 19395 21553 27153 27711 33587 45255 46185 64659 100761 107765 135765 138555 167935 193977 235109 302283 323295 503805 705327 969885 1175545 1327049 1511415 2115981 3526635 3981147 6635245 9289343 10579905 11943441 14475997 19905735 27868029 43427991 46446715 59717205 72379985 83604087 101331979 103414373 130283973 139340145 217139955 303995937 310243119 418020435 506659895 517071865 651419865 723900611 911987811 930729357 1519979685 1551215595 2171701833 3619503055 4559939055 4653646785 6515105499 10858509165 32575527495 44571594763 133714784289 222857973815 312001163341 401144352867 668573921445 936003490023 1560005816705 2005721764335 2808010470069 4680017450115 14040052350345