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14381007004 = 22713214592083
BaseRepresentation
bin11010110010010110…
…01100000010011100
31101010020101211221001
431121023030002130
5213423014211004
610335002520044
71016242354060
oct153113140234
941106354831
1014381007004
11610a781461
122954206024
131482530500
149a5d35aa0
155927e41a4
hex3592cc09c

14381007004 has 72 divisors (see below), whose sum is σ = 31180974720. Its totient is φ = 5682560832.

The previous prime is 14381006999. The next prime is 14381007059. The reversal of 14381007004 is 40070018341.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6902947 + ... + 6905029.

Almost surely, 214381007004 is an apocalyptic number.

14381007004 is a gapful number since it is divisible by the number (14) 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 14381007004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15590487360).

14381007004 is an abundant number, since it is smaller than the sum of its proper divisors (16799967716).

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

14381007004 is a wasteful number, since it uses less digits than its factorization.

14381007004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 14381007004 in words is "fourteen billion, three hundred eighty-one million, seven thousand, four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 1459 2083 2366 2918 4166 4732 5836 8332 10213 14581 18967 20426 27079 29162 37934 40852 54158 58324 75868 108316 132769 189553 246571 265538 352027 379106 493142 531076 704054 758212 986284 1408108 1725997 2464189 3039097 3451994 4928378 6078194 6903988 9856756 12156388 21273679 39508261 42547358 79016522 85094716 158033044 276557827 513607393 553115654 1027214786 1106231308 2054429572 3595251751 7190503502 14381007004