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14041420002216 = 23325314653251117
BaseRepresentation
bin1100110001010100010111…
…0110011111001110101000
31211201100100200222002002200
43030111011312133032220
53320023312010032331
645510312253300200
72646313322512365
oct314250566371650
954640320862080
1014041420002216
114523a29594382
1216a93a3194660
137ab13c2693b9
1436787347746c
151953b23cb5e6
hexcc545d9f3a8

14041420002216 has 96 divisors (see below), whose sum is σ = 38749169801160. Its totient is φ = 4591830836736.

The previous prime is 14041420002191. The next prime is 14041420002217. The reversal of 14041420002216 is 61220002414041.

14041420002216 is a `hidden beast` number, since 1 + 4 + 0 + 414 + 20 + 0 + 0 + 221 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13539382568100 + 502037434116 = 3679590^2 + 708546^2 .

It is a super-2 number, since 2×140414200022162 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14041420002216.

It is not an unprimeable number, because it can be changed into a prime (14041420002217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55790290 + ... + 56041406.

Almost surely, 214041420002216 is an apocalyptic number.

It is an amenable number.

14041420002216 is an abundant number, since it is smaller than the sum of its proper divisors (24707749798944).

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

14041420002216 is a wasteful number, since it uses less digits than its factorization.

14041420002216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265835 (or 265828 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14041420002216 its reverse (61220002414041), we get a palindrome (75261422416257).

The spelling of 14041420002216 in words is "fourteen trillion, forty-one billion, four hundred twenty million, two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 14653 29306 43959 58612 87918 117224 131877 175836 251117 263754 351672 502234 527508 753351 776609 1004468 1055016 1506702 1553218 2008936 2260053 2329827 3013404 3106436 4520106 4659654 6026808 6212872 6989481 9040212 9319308 13309201 13978962 18080424 18638616 26618402 27957924 39927603 53236804 55915848 79855206 106473608 119782809 159710412 239565618 319420824 479131236 958262472 3679617401 7359234802 11038852203 14718469604 22077704406 29436939208 33116556609 44155408812 66233113218 88310817624 132466226436 195019722253 264932452872 390039444506 585059166759 780078889012 1170118333518 1560157778024 1755177500277 2340236667036 3510355000554 4680473334072 7020710001108 14041420002216