Search a number
-
+
14545056141 = 33711137223229
BaseRepresentation
bin11011000101111001…
…11111000110001101
31101112200002102001000
431202330333012031
5214242013244031
610403143010513
71023303636330
oct154274770615
941480072030
1014545056141
116194339a60
12299b139a39
1314aa50acc5
149bda3a617
155a1deb3e6
hex362f3f18d

14545056141 has 128 divisors (see below), whose sum is σ = 27301478400. Its totient is φ = 7434478080.

The previous prime is 14545056121. The next prime is 14545056151. The reversal of 14545056141 is 14165054541.

14545056141 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 50 + 561 + 41 = 666.

It is not a de Polignac number, because 14545056141 - 25 = 14545056109 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14545056096 and 14545056105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14545056101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63515415 + ... + 63515643.

It is an arithmetic number, because the mean of its divisors is an integer number (213292800).

Almost surely, 214545056141 is an apocalyptic number.

14545056141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14545056141 is a deficient number, since it is larger than the sum of its proper divisors (12756422259).

14545056141 is a wasteful number, since it uses less digits than its factorization.

14545056141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

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

The spelling of 14545056141 in words is "fourteen billion, five hundred forty-five million, fifty-six thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 137 189 223 229 231 297 411 669 687 693 959 1233 1507 1561 1603 2007 2061 2079 2453 2519 2877 3699 4521 4683 4809 6021 6183 7359 7557 8631 10549 13563 14049 14427 17171 17633 22077 22671 25893 30551 31373 31647 40689 42147 43281 51067 51513 52899 66231 68013 91653 94119 94941 153201 154539 158697 213857 219611 274959 282357 284823 336061 345103 357469 459603 463617 476091 561737 641571 658833 824877 847071 1008183 1035309 1072407 1378809 1685211 1924713 1976499 2352427 2415721 3024549 3105927 3217221 3932159 5055633 5774139 5929497 6996179 7057281 7247163 9073647 9317781 9651663 11796477 15166899 20988537 21171843 21741489 35389431 48973253 62965611 63515529 65224467 76957969 106168293 146919759 188896833 230873907 440759277 538705783 692621721 1322277831 1616117349 2077865163 4848352047 14545056141