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14041434042120 = 2335176883055903
BaseRepresentation
bin1100110001010100011010…
…1100000010111100001000
31211201100101200101101020010
43030111012230002330020
53320023324103321440
645510313514231520
72646313553036142
oct314250654027410
954640350341203
1014041434042120
114523a36503801
1216a93a7a255a0
137ab142143a34
1436787528dc92
151953b3751580
hexcc546b02f08

14041434042120 has 64 divisors (see below), whose sum is σ = 44602202257920. Its totient is φ = 3524124621824.

The previous prime is 14041434042071. The next prime is 14041434042121. The reversal of 14041434042120 is 2124043414041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14041434042121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3441525912 + ... + 3441529991.

It is an arithmetic number, because the mean of its divisors is an integer number (696909410280).

Almost surely, 214041434042120 is an apocalyptic number.

14041434042120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14041434042120 is an abundant number, since it is smaller than the sum of its proper divisors (30560768215800).

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

14041434042120 is a wasteful number, since it uses less digits than its factorization.

14041434042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6883055934 (or 6883055930 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14041434042120 its reverse (2124043414041), we get a palindrome (16165477456161).

The spelling of 14041434042120 in words is "fourteen trillion, forty-one billion, four hundred thirty-four million, forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 6883055903 13766111806 20649167709 27532223612 34415279515 41298335418 55064447224 68830559030 82596670836 103245838545 117011950351 137661118060 165193341672 206491677090 234023900702 275322236120 351035851053 412983354180 468047801404 585059751755 702071702106 825966708360 936095602808 1170119503510 1404143404212 1755179255265 2340239007020 2808286808424 3510358510530 4680478014040 7020717021060 14041434042120