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14009390239744 = 21223322512
BaseRepresentation
bin1100101111011101000010…
…1110101001000000000000
31211121021200111022120001201
43023313100232221000000
53314012212400132434
645443454112310544
72644100515152604
oct313672056510000
954537614276051
1014009390239744
1145113926257a9
1216a3144542454
137a8106509123
143660b5627504
1519463a4b1614
hexcbdd0ba9000

14009390239744 has 117 divisors (see below), whose sum is σ = 28248656525929. Its totient is φ = 6946844672000.

The previous prime is 14009390239729. The next prime is 14009390239751. The reversal of 14009390239744 is 44793209390041.

The square root of 14009390239744 is 3742912.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2845024358400 + 11164365881344 = 1686720^2 + 3341312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55814303619 + ... + 55814303869.

Almost surely, 214009390239744 is an apocalyptic number.

14009390239744 is the 3742912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14009390239744

14009390239744 is an abundant number, since it is smaller than the sum of its proper divisors (14239266286185).

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

14009390239744 is an frugal number, since it uses more digits than its factorization.

14009390239744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 14009390239744 in words is "fourteen trillion, nine billion, three hundred ninety million, two hundred thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 233 251 256 466 502 512 932 1004 1024 1864 2008 2048 3728 4016 4096 7456 8032 14912 16064 29824 32128 54289 58483 59648 63001 64256 108578 116966 119296 126002 128512 217156 233932 238592 252004 257024 434312 467864 477184 504008 514048 868624 935728 954368 1008016 1028096 1737248 1871456 2016032 3474496 3742912 4032064 6948992 7485824 8064128 13626539 13897984 14679233 14971648 16128256 27253078 27795968 29358466 29943296 32256512 54506156 55591936 58716932 59886592 64513024 109012312 111183872 117433864 119773184 129026048 218024624 222367744 234867728 239546368 258052096 436049248 469735456 872098496 939470912 1744196992 1878941824 3420261289 3488393984 3757883648 6840522578 6976787968 7515767296 13681045156 13953575936 15031534592 27362090312 27907151872 30063069184 54724180624 55814303744 60126138368 109448361248 218896722496 437793444992 875586889984 1751173779968 3502347559936 7004695119872 14009390239744