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14214201100002 = 2322341733722417
BaseRepresentation
bin1100111011011000000001…
…1010000100011011100010
31212022212100010002021011200
43032312000122010123202
53330341140440200002
650121525220022030
72664641103561351
oct316660032043342
955285303067150
1014214201100002
114590232a59472
121716983231916
137c1516432b77
14371d84613998
15199b25e7ab1c
hexced806846e2

14214201100002 has 24 divisors (see below), whose sum is σ = 30798751804236. Its totient is φ = 4737864558336.

The previous prime is 14214201099979. The next prime is 14214201100009. The reversal of 14214201100002 is 20000110241241.

14214201100002 is a `hidden beast` number, since 142 + 1 + 420 + 1 + 100 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12931352648361 + 1282848451641 = 3596019^2 + 1132629^2 .

It is a super-2 number, since 2×142142011000022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14214201100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16439703 + ... + 17282714.

Almost surely, 214214201100002 is an apocalyptic number.

14214201100002 is an abundant number, since it is smaller than the sum of its proper divisors (16584550704234).

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

14214201100002 is a wasteful number, since it uses less digits than its factorization.

14214201100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33745842 (or 33745839 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14214201100002 its reverse (20000110241241), we get a palindrome (34214311341243).

The spelling of 14214201100002 in words is "fourteen trillion, two hundred fourteen billion, two hundred one million, one hundred thousand, two".

Divisors: 1 2 3 6 9 18 23417 46834 70251 140502 210753 421506 33722417 67444834 101167251 202334502 303501753 607003506 789677838889 1579355677778 2369033516667 4738067033334 7107100550001 14214201100002