Search a number
-
+
154200216064014 = 23317316679811277
BaseRepresentation
bin100011000011111010001001…
…000110100101000000001110
3202012222101201012000100222000
4203003322021012211000032
5130202404020303022024
61303542333515133130
744323412050214661
oct4303721106450016
9665871635010860
10154200216064014
1145150a42a8212a
12153650504441a6
136807030673833
142a1148a4016d8
1512c617c7dccc9
hex8c3e891a500e

154200216064014 has 128 divisors (see below), whose sum is σ = 374584576204800. Its totient is φ = 46808937745920.

The previous prime is 154200216064003. The next prime is 154200216064033. The reversal of 154200216064014 is 410460612002451.

154200216064014 is a `hidden beast` number, since 1 + 5 + 4 + 2 + 0 + 0 + 2 + 1 + 6 + 0 + 640 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 154200216064014.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 189665344 + ... + 190476620.

It is an arithmetic number, because the mean of its divisors is an integer number (2926442001600).

Almost surely, 2154200216064014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154200216064014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187292288102400).

154200216064014 is an abundant number, since it is smaller than the sum of its proper divisors (220384360140786).

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

154200216064014 is a wasteful number, since it uses less digits than its factorization.

154200216064014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818015 (or 818009 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 154200216064014 its reverse (410460612002451), we get a palindrome (564660828066465).

The spelling of 154200216064014 in words is "one hundred fifty-four trillion, two hundred billion, two hundred sixteen million, sixty-four thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 306 459 527 558 837 918 1054 1581 1674 3162 4743 6679 9486 13358 14229 20037 28458 40074 60111 113543 120222 180333 207049 227086 340629 360666 414098 621147 681258 811277 1021887 1242294 1622554 1863441 2043774 2433831 3065661 3519833 3726882 4867662 5590323 6131322 7039666 7301493 10559499 11180646 13791709 14602986 21118998 21904479 25149587 27583418 31678497 41375127 43808958 50299174 63356994 75448761 82750254 95035491 124125381 150897522 190070982 226346283 248250762 372376143 427542979 452692566 679038849 744752286 855085958 1282628937 1358077698 2565257874 3847886811 5418519083 7695773622 10837038166 11543660433 16255557249 23087320866 32511114498 48766671747 92114824411 97533343494 146300015241 167974091573 184229648822 276344473233 292600030482 335948183146 503922274719 552688946466 829033419699 1007844549438 1511766824157 1658066839398 2487100259097 2855559556741 3023533648314 4535300472471 4974200518194 5711119113482 8566678670223 9070600944942 17133357340446 25700036010669 51400072021338 77100108032007 154200216064014