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14144043200144 = 2411139763730279
BaseRepresentation
bin1100110111010010101010…
…1010111010111010010000
31212002011020200121200102012
43031310222222322322100
53323214000024401034
650025403404442052
72656605401350304
oct315645252727220
955064220550365
1014144043200144
114563500719950
121705263549328
137b7a15381960
1436c80aa57d04
15197dbba79cce
hexcdd2aabae90

14144043200144 has 80 divisors (see below), whose sum is σ = 32526915227520. Its totient is φ = 5873382420480.

The previous prime is 14144043200141. The next prime is 14144043200149. The reversal of 14144043200144 is 44100234044141.

It is a self number, because there is not a number n which added to its sum of digits gives 14144043200144.

It is not an unprimeable number, because it can be changed into a prime (14144043200141) 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, 31643204 + ... + 32087075.

It is an arithmetic number, because the mean of its divisors is an integer number (406586440344).

Almost surely, 214144043200144 is an apocalyptic number.

It is an amenable number.

14144043200144 is an abundant number, since it is smaller than the sum of its proper divisors (18382872027376).

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

14144043200144 is a wasteful number, since it uses less digits than its factorization.

14144043200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63730408 (or 63730402 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 14144043200144 its reverse (44100234044141), we get a palindrome (58244277244285).

The spelling of 14144043200144 in words is "fourteen trillion, one hundred forty-four billion, forty-three million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 97 104 143 176 194 208 286 388 572 776 1067 1144 1261 1552 2134 2288 2522 4268 5044 8536 10088 13871 17072 20176 27742 55484 110968 221936 63730279 127460558 254921116 509842232 701033069 828493627 1019684464 1402066138 1656987254 2804132276 3313974508 5608264552 6181837063 6627949016 9113429897 11216529104 12363674126 13255898032 18226859794 24727348252 36453719588 49454696504 68000207693 72907439176 80363881819 98909393008 136000415386 145814878352 160727763638 272000830772 321455527276 544001661544 642911054552 884002700009 1088003323088 1285822109104 1768005400018 3536010800036 7072021600072 14144043200144