Search a number
-
+
14103402221016 = 2333136747764103
BaseRepresentation
bin1100110100111011010001…
…0001111000110111011000
31211221021100100110000212000
43031032310101320313120
53322032231432033031
645555002531321000
72653636311623553
oct315166421706730
954837310400760
1014103402221016
114548245973799
1216b9400a50160
137b3c39586404
1436a8732b769a
15196cddb7d3e6
hexcd3b4478dd8

14103402221016 has 64 divisors (see below), whose sum is σ = 39204776563200. Its totient is φ = 4697694959904.

The previous prime is 14103402221011. The next prime is 14103402221017. The reversal of 14103402221016 is 61012220430141.

14103402221016 is a `hidden beast` number, since 1 + 41 + 0 + 3 + 402 + 2 + 210 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14103402221011) 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 15 ways as a sum of consecutive naturals, for example, 23586780 + ... + 24177323.

It is an arithmetic number, because the mean of its divisors is an integer number (612574633800).

Almost surely, 214103402221016 is an apocalyptic number.

It is an amenable number.

14103402221016 is an abundant number, since it is smaller than the sum of its proper divisors (25101374342184).

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

14103402221016 is a wasteful number, since it uses less digits than its factorization.

14103402221016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47765485 (or 47765475 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14103402221016 its reverse (61012220430141), we get a palindrome (75115622651157).

The spelling of 14103402221016 in words is "fourteen trillion, one hundred three billion, four hundred two million, two hundred twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1367 2734 4101 5468 8202 10936 12303 16404 24606 32808 36909 49212 73818 98424 147636 295272 47764103 95528206 143292309 191056412 286584618 382112824 429876927 573169236 859753854 1146338472 1289630781 1719507708 2579261562 3439015416 5158523124 10317046248 65293528801 130587057602 195880586403 261174115204 391761172806 522348230408 587641759209 783522345612 1175283518418 1567044691224 1762925277627 2350567036836 3525850555254 4701134073672 7051701110508 14103402221016