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14004555201 = 32741349853
BaseRepresentation
bin11010000101011110…
…01000110111000001
31100011000001010010200
431002233020313001
5212140131231301
610233354115413
71004021520000
oct150257106701
940130033120
1014004555201
115a3722a66a
12286a11bb69
131422545370
1496bd40c37
1556e732c86
hex342bc8dc1

14004555201 has 60 divisors (see below), whose sum is σ = 25414671828. Its totient is φ = 7386869952.

The previous prime is 14004555199. The next prime is 14004555203. The reversal of 14004555201 is 10255540041.

14004555201 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 455 + 5 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (14004555199) and next prime (14004555203).

It can be written as a sum of positive squares in 2 ways, for example, as 2171466801 + 11833088400 = 46599^2 + 108780^2 .

It is not a de Polignac number, because 14004555201 - 21 = 14004555199 is a prime.

It is a super-2 number, since 2×140045552012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14004555203) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 255991 + ... + 305843.

Almost surely, 214004555201 is an apocalyptic number.

It is an amenable number.

14004555201 is a deficient number, since it is larger than the sum of its proper divisors (11410116627).

14004555201 is an equidigital number, since it uses as much as digits as its factorization.

14004555201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49900 (or 49876 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 14004555201 in words is "fourteen billion, four million, five hundred fifty-five thousand, two hundred one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 343 441 637 819 1029 1911 2401 3087 4459 5733 7203 13377 21609 31213 40131 49853 93639 149559 280917 348971 448677 648089 1046913 1944267 2442797 3140739 4536623 5832801 7328391 13609869 17099579 21985173 31756361 40829607 51298737 95269083 119697053 153896211 222294527 285807249 359091159 666883581 1077273477 1556061689 2000650743 4668185067 14004555201