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14050508306076 = 223211213124622541
BaseRepresentation
bin1100110001110110001110…
…0011100111011010011100
31211202012211002012202020100
43030131203203213122130
53320200420111243301
645514414151221100
72650054460023164
oct314354343473234
954665732182210
1014050508306076
114527872708600
1216ab0ba977790
137abc5a0c65a8
143680964b75a4
151957451ec286
hexcc7638e769c

14050508306076 has 108 divisors (see below), whose sum is σ = 39336874609032. Its totient is φ = 4225227864000.

The previous prime is 14050508306057. The next prime is 14050508306077. The reversal of 14050508306076 is 67060380505041.

14050508306076 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 0 + 5 + 0 + 8 + 30 + 607 + 6 = 666.

It is a super-2 number, since 2×140505083060762 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14050508306077) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11740635 + ... + 12881906.

It is an arithmetic number, because the mean of its divisors is an integer number (364230320454).

Almost surely, 214050508306076 is an apocalyptic number.

It is an amenable number.

14050508306076 is an abundant number, since it is smaller than the sum of its proper divisors (25286366302956).

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

14050508306076 is a wasteful number, since it uses less digits than its factorization.

14050508306076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24622704 (or 24622688 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 14050508306076 in words is "fourteen trillion, fifty billion, five hundred eight million, three hundred six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 131 132 198 242 262 363 393 396 484 524 726 786 1089 1179 1441 1452 1572 2178 2358 2882 4323 4356 4716 5764 8646 12969 15851 17292 25938 31702 47553 51876 63404 95106 142659 190212 285318 570636 24622541 49245082 73867623 98490164 147735246 221602869 270847951 295470492 443205738 541695902 812543853 886411476 1083391804 1625087706 2437631559 2979327461 3225552871 3250175412 4875263118 5958654922 6451105742 8937982383 9676658613 9750526236 11917309844 12902211484 17875964766 19353317226 26813947149 29029975839 35481081581 35751929532 38706634452 53627894298 58059951678 70962163162 106443244743 107255788596 116119903356 141924326324 212886489486 319329734229 390291897391 425772978972 638659468458 780583794782 1170875692173 1277318936916 1561167589564 2341751384346 3512627076519 4683502768692 7025254153038 14050508306076