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144140023314 = 23371050136313
BaseRepresentation
bin1000011000111101101…
…0100011011000010010
3111210001100212212002000
42012033122203120102
54330144321221224
6150114512534430
713261631661060
oct2061732433022
9453040785060
10144140023314
1156147315a11
1223b28251416
13107914cb531
146d953d1030
153b394050c9
hex218f6a3612

144140023314 has 64 divisors (see below), whose sum is σ = 366114842880. Its totient is φ = 41177808000.

The previous prime is 144140023309. The next prime is 144140023319. The reversal of 144140023314 is 413320041441.

144140023314 is a `hidden beast` number, since 1 + 4 + 414 + 0 + 0 + 233 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (144140023309) and next prime (144140023319).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144140023319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3951222 + ... + 3987534.

It is an arithmetic number, because the mean of its divisors is an integer number (5720544420).

Almost surely, 2144140023314 is an apocalyptic number.

144140023314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144140023314 is an abundant number, since it is smaller than the sum of its proper divisors (221974819566).

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

144140023314 is a wasteful number, since it uses less digits than its factorization.

144140023314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46832 (or 46826 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 144140023314 its reverse (413320041441), we get a palindrome (557460064755).

The spelling of 144140023314 in words is "one hundred forty-four billion, one hundred forty million, twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 10501 21002 31503 36313 63006 72626 73507 94509 108939 147014 189018 217878 220521 254191 283527 326817 441042 508382 567054 653634 661563 762573 980451 1323126 1525146 1960902 1984689 2287719 3969378 4575438 6863157 13726314 381322813 762645626 1143968439 2287936878 2669259691 3431905317 5338519382 6863810634 8007779073 10295715951 16015558146 20591431902 24023337219 48046674438 72070011657 144140023314