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16014040000 = 2654757193
BaseRepresentation
bin11101110101000001…
…01101101111000000
31112100001020112001121
432322200231233000
5230244043240000
611205020242024
71104562044160
oct167240555700
945301215047
1016014040000
116878565302
12312b0a0314
13168296091a
14abcb885a0
1563ad6ab1a
hex3ba82dbc0

16014040000 has 140 divisors (see below), whose sum is σ = 45383210224. Its totient is φ = 5490432000.

The previous prime is 16014039997. The next prime is 16014040039. The reversal of 16014040000 is 4041061.

It is a happy number.

16014040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 251404 + ... + 308596.

Almost surely, 216014040000 is an apocalyptic number.

16014040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16014040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22691605112).

16014040000 is an abundant number, since it is smaller than the sum of its proper divisors (29369170224).

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

16014040000 is an frugal number, since it uses more digits than its factorization.

16014040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57232 (or 57207 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 16014040000 its reverse (4041061), we get a palindrome (16018081061).

The spelling of 16014040000 in words is "sixteen billion, fourteen million, forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 40000 56000 57193 70000 114386 140000 228772 280000 285965 400351 457544 571930 800702 915088 1143860 1429825 1601404 1830176 2001755 2287720 2859650 3202808 3660352 4003510 4575440 5719300 6405616 7149125 8007020 9150880 10008775 11438600 12811232 14298250 16014040 18301760 20017550 22877200 25622464 28596500 32028080 35745625 40035100 45754400 50043875 57193000 64056160 71491250 80070200 91508800 100087750 114386000 128112320 142982500 160140400 200175500 228772000 250219375 285965000 320280800 400351000 457544000 500438750 571930000 640561600 800702000 1000877500 1143860000 1601404000 2001755000 2287720000 3202808000 4003510000 8007020000 16014040000