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144559464 = 23374320011
BaseRepresentation
bin10001001110111…
…00110101101000
3101002000101022020
420213130311220
5244001400324
622202224440
73403510110
oct1047346550
9332011266
10144559464
1174666735
12404b5120
1323c4575a
14152b0040
15ca57679
hex89dcd68

144559464 has 64 divisors (see below), whose sum is σ = 422653440. Its totient is φ = 40340160.

The previous prime is 144559379. The next prime is 144559469. The reversal of 144559464 is 464955441.

144559464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (144559469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2782 + ... + 17229.

It is an arithmetic number, because the mean of its divisors is an integer number (6603960).

Almost surely, 2144559464 is an apocalyptic number.

144559464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144559464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211326720).

144559464 is an abundant number, since it is smaller than the sum of its proper divisors (278093976).

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

144559464 is a wasteful number, since it uses less digits than its factorization.

144559464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20070 (or 20066 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 144559464 is about 12023.2884020970. The cubic root of 144559464 is about 524.8262027896.

Adding to 144559464 its sum of digits (42), we get a triangular number (144559506 = T17003).

The spelling of 144559464 in words is "one hundred forty-four million, five hundred fifty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 20011 40022 60033 80044 120066 140077 160088 240132 280154 420231 480264 560308 840462 860473 1120616 1680924 1720946 2581419 3361848 3441892 5162838 6023311 6883784 10325676 12046622 18069933 20651352 24093244 36139866 48186488 72279732 144559464