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14011241040 = 2432519460057
BaseRepresentation
bin11010000110010001…
…01001001001010000
31100011110121210101100
431003020221021100
5212143334203130
610234153304400
71004132404146
oct150310511120
940143553340
1014011241040
115a3aa86855
122870405100
131423a46594
1496cba1596
15570103c60
hex343229250

14011241040 has 60 divisors (see below), whose sum is σ = 47054420244. Its totient is φ = 3736330752.

The previous prime is 14011241009. The next prime is 14011241063. The reversal of 14011241040 is 4014211041.

14011241040 is a `hidden beast` number, since 140 + 112 + 410 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11065356864 + 2945884176 = 105192^2 + 54276^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 9729309 + ... + 9730748.

Almost surely, 214011241040 is an apocalyptic number.

14011241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14011241040 is an abundant number, since it is smaller than the sum of its proper divisors (33043179204).

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

14011241040 is a wasteful number, since it uses less digits than its factorization.

14011241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19460076 (or 19460067 counting only the distinct ones).

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

Adding to 14011241040 its reverse (4014211041), we get a palindrome (18025452081).

The spelling of 14011241040 in words is "fourteen billion, eleven million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 19460057 38920114 58380171 77840228 97300285 116760342 155680456 175140513 194600570 233520684 291900855 311360912 350281026 389201140 467041368 583801710 700562052 778402280 875702565 934082736 1167603420 1401124104 1556804560 1751405130 2335206840 2802248208 3502810260 4670413680 7005620520 14011241040