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14111214240 = 2535103285421
BaseRepresentation
bin11010010010001100…
…00000101010100000
31100102102201221211110
431021012000222200
5212344432323430
610252124143320
71006455225204
oct151106005240
940372657743
1014111214240
115a9145a132
122899997b40
13143b67ab16
1497c186b04
15578ca07b0
hex349180aa0

14111214240 has 96 divisors (see below), whose sum is σ = 44882038656. Its totient is φ = 3726443520.

The previous prime is 14111214233. The next prime is 14111214251. The reversal of 14111214240 is 4241211141.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93271 + ... + 192150.

It is an arithmetic number, because the mean of its divisors is an integer number (467521236).

Almost surely, 214111214240 is an apocalyptic number.

14111214240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14111214240 is an abundant number, since it is smaller than the sum of its proper divisors (30770824416).

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

14111214240 is a wasteful number, since it uses less digits than its factorization.

14111214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285542 (or 285534 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 14111214240 its reverse (4241211141), we get a palindrome (18352425381).

The spelling of 14111214240 in words is "fourteen billion, one hundred eleven million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 16480 24720 49440 285421 570842 856263 1141684 1427105 1712526 2283368 2854210 3425052 4281315 4566736 5708420 6850104 8562630 9133472 11416840 13700208 17125260 22833680 27400416 29398363 34250520 45667360 58796726 68501040 88195089 117593452 137002080 146991815 176390178 235186904 293983630 352780356 440975445 470373808 587967260 705560712 881950890 940747616 1175934520 1411121424 1763901780 2351869040 2822242848 3527803560 4703738080 7055607120 14111214240