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144420112314 = 23223479728269
BaseRepresentation
bin1000011010000000011…
…1000000011110111010
3111210202212220211221200
42012200013000132322
54331233022043224
6150202400115030
713301602462062
oct2064007003672
9453685824850
10144420112314
115628042aa25
1223ba6005a76
131080754757a
146dc06a03a2
153b53cce5c9
hex21a01c07ba

144420112314 has 48 divisors (see below), whose sum is σ = 327197145600. Its totient is φ = 45950797728.

The previous prime is 144420112307. The next prime is 144420112321. The reversal of 144420112314 is 413211024441.

144420112314 is a `hidden beast` number, since 1 + 4 + 4 + 420 + 1 + 1 + 231 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (144420112307) and next prime (144420112321).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165829 + ... + 562440.

It is an arithmetic number, because the mean of its divisors is an integer number (6816607200).

Almost surely, 2144420112314 is an apocalyptic number.

144420112314 is an abundant number, since it is smaller than the sum of its proper divisors (182777033286).

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

144420112314 is a wasteful number, since it uses less digits than its factorization.

144420112314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728779 (or 728776 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144420112314 its reverse (413211024441), we get a palindrome (557631136755).

The spelling of 144420112314 in words is "one hundred forty-four billion, four hundred twenty million, one hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 479 958 1437 2874 4311 8622 11017 22034 33051 66102 99153 198306 728269 1456538 2184807 4369614 6554421 13108842 16750187 33500374 50250561 100501122 150751683 301503366 348840851 697681702 1046522553 2093045106 3139567659 6279135318 8023339573 16046679146 24070018719 48140037438 72210056157 144420112314