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144344114232432 = 24323424130829163
BaseRepresentation
bin100000110100011110111011…
…101001110111110001110000
3200221002011101111120110122220
4200310132323221313301300
5122404413221220414212
61230554434243201040
742255342466022232
oct4064367351676160
9627064344513586
10144344114232432
1141aa0aa4493944
1214232a33976180
13627078c89663a
142790414508252
1511a4ac592938c
hex8347bba77c70

144344114232432 has 80 divisors (see below), whose sum is σ = 389193285535488. Its totient is φ = 46011907701760.

The previous prime is 144344114232427. The next prime is 144344114232463. The reversal of 144344114232432 is 234232411443441.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10732518 + ... + 20096645.

Almost surely, 2144344114232432 is an apocalyptic number.

144344114232432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144344114232432 is an abundant number, since it is smaller than the sum of its proper divisors (244849171303056).

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

144344114232432 is a wasteful number, since it uses less digits than its factorization.

144344114232432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30833438 (or 30833432 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

Adding to 144344114232432 its reverse (234232411443441), we get a palindrome (378576525675873).

The spelling of 144344114232432 in words is "one hundred forty-four trillion, three hundred forty-four billion, one hundred fourteen million, two hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 4241 8482 12723 16964 25446 33928 50892 67856 97543 101784 195086 203568 292629 390172 585258 780344 1170516 1560688 2341032 4682064 30829163 61658326 92487489 123316652 184974978 246633304 369949956 493266608 709070749 739899912 1418141498 1479799824 2127212247 2836282996 4254424494 5672565992 8508848988 11345131984 17017697976 34035395952 130746480283 261492960566 392239440849 522985921132 784478881698 1045971842264 1568957763396 2091943684528 3007169046509 3137915526792 6014338093018 6275831053584 9021507139527 12028676186036 18043014279054 24057352372072 36086028558108 48114704744144 72172057116216 144344114232432