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14004289536 = 2153433313
BaseRepresentation
bin11010000101011100…
…01000000000000000
31100010222112121201020
431002232020000000
5212140044231121
610233344305440
71004016332316
oct150256100000
940128477636
1014004289536
115a37069006
12286a012280
131422481473
1496bcb20b6
1556e6ce1c6
hex342b88000

14004289536 has 128 divisors (see below), whose sum is σ = 38224206240. Its totient is φ = 4558159872.

The previous prime is 14004289531. The next prime is 14004289553. The reversal of 14004289536 is 63598240041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×140042895362 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14004289531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4225416 + ... + 4228728.

Almost surely, 214004289536 is an apocalyptic number.

14004289536 is a gapful number since it is divisible by the number (16) 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 14004289536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19112103120).

14004289536 is an abundant number, since it is smaller than the sum of its proper divisors (24219916704).

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

14004289536 is an frugal number, since it uses more digits than its factorization.

14004289536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 14004289536 in words is "fourteen billion, four million, two hundred eighty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2048 2064 2752 3072 3313 4096 4128 5504 6144 6626 8192 8256 9939 11008 12288 13252 16384 16512 19878 22016 24576 26504 32768 33024 39756 44032 49152 53008 66048 79512 88064 98304 106016 132096 142459 159024 176128 212032 264192 284918 318048 352256 424064 427377 528384 569836 636096 704512 848128 854754 1056768 1139672 1272192 1409024 1696256 1709508 2113536 2279344 2544384 3392512 3419016 4227072 4558688 5088768 6785024 6838032 9117376 10177536 13570048 13676064 18234752 20355072 27140096 27352128 36469504 40710144 54280192 54704256 72939008 81420288 108560384 109408512 145878016 162840576 218817024 291756032 325681152 437634048 583512064 875268096 1167024128 1750536192 2334048256 3501072384 4668096512 7002144768 14004289536