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14949941148 = 2233294773289
BaseRepresentation
bin11011110110001010…
…11111111110011100
31102120212221200212000
431323011133332130
5221104141104043
610511245042300
71036321255152
oct157305377634
942525850760
1014949941148
11638194106a
122a92856390
13154336cc2c
14a1b7133d2
155c77272d3
hex37b15ff9c

14949941148 has 48 divisors (see below), whose sum is σ = 40095636000. Its totient is φ = 4811474304.

The previous prime is 14949941141. The next prime is 14949941161. The reversal of 14949941148 is 84114994941.

14949941148 is a `hidden beast` number, since 1 + 4 + 9 + 499 + 4 + 1 + 148 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14949941094 and 14949941103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14949941141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2383513 + ... + 2389776.

It is an arithmetic number, because the mean of its divisors is an integer number (835325750).

Almost surely, 214949941148 is an apocalyptic number.

14949941148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14949941148 is an abundant number, since it is smaller than the sum of its proper divisors (25145694852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14949941148 is a wasteful number, since it uses less digits than its factorization.

14949941148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773331 (or 4773323 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 14949941148 in words is "fourteen billion, nine hundred forty-nine million, nine hundred forty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 4773289 9546578 14319867 19093156 28639734 42959601 57279468 85919202 128878803 138425381 171838404 257757606 276850762 415276143 515515212 553701524 830552286 1245828429 1661104572 2491656858 3737485287 4983313716 7474970574 14949941148