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14112012240 = 243356533339
BaseRepresentation
bin11010010010010010…
…00011011111010000
31100102111020111111000
431021021003133100
5212400133342430
610252153222000
71006465060554
oct151111033720
940374214430
1014112012240
115a91954737
12289a101900
13143b89a101
1497c313864
15578dabe60
hex3492437d0

14112012240 has 80 divisors (see below), whose sum is σ = 48608049600. Its totient is φ = 3763202688.

The previous prime is 14112012209. The next prime is 14112012251. The reversal of 14112012240 is 4221021141.

14112012240 is a `hidden beast` number, since 1 + 411 + 2 + 0 + 12 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3264510 + ... + 3268829.

It is an arithmetic number, because the mean of its divisors is an integer number (607600620).

Almost surely, 214112012240 is an apocalyptic number.

14112012240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14112012240 is an abundant number, since it is smaller than the sum of its proper divisors (34496037360).

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

14112012240 is a wasteful number, since it uses less digits than its factorization.

14112012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533361 (or 6533349 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14112012240 its reverse (4221021141), we get a palindrome (18333033381).

The spelling of 14112012240 in words is "fourteen billion, one hundred twelve million, twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 6533339 13066678 19600017 26133356 32666695 39200034 52266712 58800051 65333390 78400068 98000085 104533424 117600102 130666780 156800136 176400153 196000170 235200204 261333560 294000255 313600272 352800306 392000340 470400408 522667120 588000510 705600612 784000680 882000765 940800816 1176001020 1411201224 1568001360 1764001530 2352002040 2822402448 3528003060 4704004080 7056006120 14112012240