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14008439556225 = 345231226832
BaseRepresentation
bin1100101111011001100000…
…0100000100100010000001
31211121012020020102211110000
43023312120010010202001
53314003241011244400
645443215512030213
72644035122401542
oct313663004044201
954535206384400
1014008439556225
114510a44a26144
1216a2b1a092369
137a7cb45781ba
143660252764c9
151945d1cc2600
hexcbd98104881

14008439556225 has 135 divisors (see below), whose sum is σ = 26822518723539. Its totient is φ = 7227467546400.

The previous prime is 14008439556211. The next prime is 14008439556247. The reversal of 14008439556225 is 52265593480041.

The square root of 14008439556225 is 3742785.

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

14008439556225 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 8 + 4 + 3 + 9 + 5 + 5 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5043038240241 + 8965401315984 = 2245671^2 + 2994228^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 14008439556225 - 25 = 14008439556193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5221183734 + ... + 5221186416.

Almost surely, 214008439556225 is an apocalyptic number.

14008439556225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14008439556225 is the 3742785-th square number.

14008439556225 is the 1871393-rd centered octagonal number.

It is an amenable number.

14008439556225 is a deficient number, since it is larger than the sum of its proper divisors (12814079167314).

14008439556225 is an frugal number, since it uses more digits than its factorization.

14008439556225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 14008439556225 in words is "fourteen trillion, eight billion, four hundred thirty-nine million, five hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 81 93 135 155 225 279 405 465 675 775 837 961 1395 2025 2325 2511 2683 2883 4185 4805 6975 8049 8649 12555 13415 14415 20925 24025 24147 25947 40245 43245 62775 67075 72075 72441 77841 83173 120735 129735 201225 216225 217323 249519 362205 389205 415865 603675 648675 748557 1086615 1247595 1811025 1946025 2079325 2245671 2578363 3742785 5433075 6237975 6737013 7198489 7735089 11228355 12891815 18713925 21595467 23205267 33685065 35992445 38675445 56141775 64459075 64786401 69615801 107977335 116026335 168425325 179962225 193377225 194359203 208847403 223153159 323932005 348079005 539886675 580131675 583077609 669459477 971796015 1044237015 1115765795 1619660025 1740395025 2008378431 2915388045 3347297385 4858980075 5221185075 5578828975 6025135293 6917747929 10041892155 14576940225 16736486925 18075405879 20753243787 30125676465 34588739645 50209460775 62259731361 90377029395 103766218935 150628382325 172943698225 186779194083 311298656805 451885146975 518831094675 560337582249 933895970415 1556493284025 2801687911245 4669479852075 14008439556225