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14201554421124 = 22327433167413827
BaseRepresentation
bin1100111010101000111010…
…0110110100010110000100
31212021122200202010102011200
43032222032212310112010
53330134240412433444
650112034245502500
72664012520562430
oct316521646642604
955248622112150
1014201554421124
114585933267444
121714433a11a30
137c027c30ac25
14371504b7b9c0
15199635a6b969
hexcea8e9b4584

14201554421124 has 144 divisors (see below), whose sum is σ = 41994179555328. Its totient is φ = 3961963502784.

The previous prime is 14201554421101. The next prime is 14201554421143. The reversal of 14201554421124 is 42112445510241.

It is a happy number.

14201554421124 is a `hidden beast` number, since 1 + 4 + 201 + 5 + 5 + 4 + 421 + 1 + 24 = 666.

It is a super-2 number, since 2×142015544211242 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34110699 + ... + 34524525.

It is an arithmetic number, because the mean of its divisors is an integer number (291626246912).

Almost surely, 214201554421124 is an apocalyptic number.

14201554421124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14201554421124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20997089777664).

14201554421124 is an abundant number, since it is smaller than the sum of its proper divisors (27792625134204).

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

14201554421124 is a wasteful number, since it uses less digits than its factorization.

14201554421124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417054 (or 417049 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 14201554421124 its reverse (42112445510241), we get a palindrome (56313999931365).

The spelling of 14201554421124 in words is "fourteen trillion, two hundred one billion, five hundred fifty-four million, four hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3167 3612 5418 6334 9501 10836 12668 19002 22169 28503 38004 44338 57006 66507 88676 114012 133014 136181 199521 266028 272362 399042 408543 413827 544724 798084 817086 827654 953267 1225629 1241481 1634172 1655308 1906534 2451258 2482962 2859801 2896789 3724443 3813068 4902516 4965924 5719602 5793578 7448886 8579403 8690367 11439204 11587156 14897772 17158806 17380734 17794561 26071101 34317612 34761468 35589122 52142202 53383683 71178244 104284404 106767366 124561927 160151049 213534732 249123854 320302098 373685781 498247708 640604196 747371562 1121057343 1310590109 1494743124 2242114686 2621180218 3931770327 4484229372 5242360436 7863540654 9174130763 11795310981 15727081308 18348261526 23590621962 27522392289 36696523052 47181243924 55044784578 56355374687 82567176867 110089569156 112710749374 165134353734 169066124061 225421498748 330268707468 338132248122 394487622809 507198372183 676264496244 788975245618 1014396744366 1183462868427 1577950491236 2028793488732 2366925736854 3550388605281 4733851473708 7100777210562 14201554421124