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14895047470401 = 327315322715113
BaseRepresentation
bin1101100011000000011000…
…0000110110110101000001
31221201221201110122110120200
43120300012000312311001
53423020024123023101
651402405040355413
73065063106334230
oct330600600666501
957657643573520
1014895047470401
114822a54a9070a
121806915315b69
1384079b662367
14396cd1bccb17
151ac6c374d986
hexd8c06036d41

14895047470401 has 72 divisors (see below), whose sum is σ = 25869779959296. Its totient is φ = 8081476565760.

The previous prime is 14895047470351. The next prime is 14895047470417. The reversal of 14895047470401 is 10407474059841.

14895047470401 is a `hidden beast` number, since 1 + 4 + 8 + 95 + 0 + 47 + 470 + 40 + 1 = 666.

It is not a de Polignac number, because 14895047470401 - 210 = 14895047469377 is a prime.

It is a super-2 number, since 2×148950474704012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14895047470421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4128421 + ... + 6843533.

Almost surely, 214895047470401 is an apocalyptic number.

It is an amenable number.

14895047470401 is a deficient number, since it is larger than the sum of its proper divisors (10974732488895).

14895047470401 is a wasteful number, since it uses less digits than its factorization.

14895047470401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715263 (or 2715207 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 14895047470401 in words is "fourteen trillion, eight hundred ninety-five billion, forty-seven million, four hundred seventy thousand, four hundred one".

Divisors: 1 3 7 9 21 31 53 63 93 159 217 279 371 477 651 1113 1643 1953 2809 3339 4929 8427 11501 14787 19663 25281 34503 58989 87079 103509 176967 261237 609553 783711 1828659 2715113 5485977 8145339 19005791 24436017 57017373 84168503 143900989 171052119 252505509 431702967 589179521 757516527 1007306923 1295108901 1767538563 3021920769 4460930659 5302615689 7626752417 9065762307 13382791977 22880257251 31226514613 40148375931 53387266919 68640771753 93679543839 160161800757 236429324927 281038631517 480485402271 709287974781 1655005274489 2127863924343 4965015823467 14895047470401