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144043440 = 24351035827
BaseRepresentation
bin10001001010111…
…10110110110000
3101001001011110020
420211132312300
5243333342230
622143203440
73366230502
oct1045366660
9331034406
10144043440
1174343a72
12402a6580
1323ac4908
14151b7d72
15c9a4810
hex895edb0

144043440 has 80 divisors (see below), whose sum is σ = 450947328. Its totient is φ = 38032128.

The previous prime is 144043439. The next prime is 144043441. The reversal of 144043440 is 44340441.

144043440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144043439) and next prime (144043441).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144043440.

It is not an unprimeable number, because it can be changed into a prime (144043441) 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, 21807 + ... + 27633.

Almost surely, 2144043440 is an apocalyptic number.

144043440 is a gapful number since it is divisible by the number (10) 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 144043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225473664).

144043440 is an abundant number, since it is smaller than the sum of its proper divisors (306903888).

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

144043440 is a wasteful number, since it uses less digits than its factorization.

144043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5946 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 144043440 is about 12001.8098635164. The cubic root of 144043440 is about 524.2009795642.

Adding to 144043440 its reverse (44340441), we get a palindrome (188383881).

The spelling of 144043440 in words is "one hundred forty-four million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 5827 6180 8240 11654 12360 17481 23308 24720 29135 34962 46616 58270 69924 87405 93232 116540 139848 174810 233080 279696 349620 466160 600181 699240 1200362 1398480 1800543 2400724 3000905 3601086 4801448 6001810 7202172 9002715 9602896 12003620 14404344 18005430 24007240 28808688 36010860 48014480 72021720 144043440