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14000442144 = 2531319590437
BaseRepresentation
bin11010000100111110…
…11100101100100000
31100010201022011002020
431002133130230200
5212133103122034
610233130021440
71003641536403
oct150237345440
940121264066
1014000442144
115a34980447
122868877880
1314217351c0
1496b58dd3a
1556e1be249
hex3427dcb20

14000442144 has 96 divisors (see below), whose sum is σ = 41661305280. Its totient is φ = 4081093632.

The previous prime is 14000442119. The next prime is 14000442223. The reversal of 14000442144 is 44124400041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271507 + ... + 318930.

It is an arithmetic number, because the mean of its divisors is an integer number (433971930).

Almost surely, 214000442144 is an apocalyptic number.

It is an amenable number.

14000442144 is an abundant number, since it is smaller than the sum of its proper divisors (27660863136).

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

14000442144 is a wasteful number, since it uses less digits than its factorization.

14000442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590482 (or 590474 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14000442144 its reverse (44124400041), we get a palindrome (58124842185).

The spelling of 14000442144 in words is "fourteen billion, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 590437 1180874 1771311 2361748 3542622 4723496 7085244 7675681 9446992 11218303 14170488 15351362 18893984 22436606 23027043 28340976 30702724 33654909 44873212 46054086 56681952 61405448 67309818 89746424 92108172 122810896 134619636 145837939 179492848 184216344 245621792 269239272 291675878 358985696 368432688 437513817 538478544 583351756 736865376 875027634 1076957088 1166703512 1750055268 2333407024 3500110536 4666814048 7000221072 14000442144