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14124040114002 = 2371327039282691
BaseRepresentation
bin1100110110001000001001…
…1001001100111101010010
31212000020121122021121202220
43031202002121030331102
53322402013232122002
650012254445121510
72655266611051020
oct315420231147522
955006548247686
1014124040114002
114555a764821a5
121701400559296
137b5b78166400
1436b8701ab710
151975ea8ee7bc
hexcd88264cf52

14124040114002 has 96 divisors (see below), whose sum is σ = 34962984714240. Its totient is φ = 3724479195840.

The previous prime is 14124040113991. The next prime is 14124040114031. The reversal of 14124040114002 is 20041104042141.

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, 49821477 + ... + 50104167.

It is an arithmetic number, because the mean of its divisors is an integer number (364197757440).

Almost surely, 214124040114002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14124040114002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17481492357120).

14124040114002 is an abundant number, since it is smaller than the sum of its proper divisors (20838944600238).

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

14124040114002 is a wasteful number, since it uses less digits than its factorization.

14124040114002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289768 (or 289755 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14124040114002 its reverse (20041104042141), we get a palindrome (34165144156143).

The spelling of 14124040114002 in words is "fourteen trillion, one hundred twenty-four billion, forty million, one hundred fourteen thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 507 546 1014 1183 2366 3549 7039 7098 14078 21117 42234 49273 91507 98546 147819 183014 274521 282691 295638 549042 565382 640549 848073 1189591 1281098 1696146 1921647 1978837 2379182 3568773 3674983 3843294 3957674 5936511 7137546 7349966 8327137 11024949 11873022 16654274 22049898 24981411 25724881 47774779 49962822 51449762 77174643 95549558 143324337 154349286 286648674 334423453 668846906 1003270359 1989861949 2006540718 3979723898 5969585847 11939171694 13929033643 25868205337 27858067286 41787100929 51736410674 77604616011 83574201858 155209232022 181077437359 336286669381 362154874718 543232312077 672573338762 1008860008143 1086464624154 2017720016286 2354006685667 4708013371334 7062020057001 14124040114002