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14013404430444 = 22321133539758611
BaseRepresentation
bin1100101111101011111111…
…1111100100000001101100
31211121200001020201120111100
43023322333333210001230
53314043423013233234
645445400310323100
72644302140211516
oct313727777440154
954550036646440
1014013404430444
114513062521681
1216a3a84959490
137a85c60589b3
143663767d2bb6
151947c2adb399
hexcbebffe406c

14013404430444 has 72 divisors (see below), whose sum is σ = 35837487674352. Its totient is φ = 4616681287680.

The previous prime is 14013404430439. The next prime is 14013404430449. The reversal of 14013404430444 is 44403440431041.

14013404430444 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 340 + 4 + 4 + 304 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14013404430439) and next prime (14013404430449).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14013404430399 and 14013404430408.

It is not an unprimeable number, because it can be changed into a prime (14013404430449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3443302 + ... + 6315309.

It is an arithmetic number, because the mean of its divisors is an integer number (497742884366).

Almost surely, 214013404430444 is an apocalyptic number.

It is an amenable number.

14013404430444 is an abundant number, since it is smaller than the sum of its proper divisors (21824083243908).

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

14013404430444 is a wasteful number, since it uses less digits than its factorization.

14013404430444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9759087 (or 9759082 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 14013404430444 its reverse (44403440431041), we get a palindrome (58416844861485).

The spelling of 14013404430444 in words is "fourteen trillion, thirteen billion, four hundred four million, four hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 353 452 678 706 1017 1059 1356 1412 2034 2118 3177 4068 4236 6354 12708 39889 79778 119667 159556 239334 359001 478668 718002 1436004 9758611 19517222 29275833 39034444 58551666 87827499 117103332 175654998 351309996 1102723043 2205446086 3308169129 3444789683 4410892172 6616338258 6889579366 9924507387 10334369049 13232676516 13779158732 19849014774 20668738098 31003107147 39698029548 41337476196 62006214294 124012428588 389261234179 778522468358 1167783702537 1557044936716 2335567405074 3503351107611 4671134810148 7006702215222 14013404430444