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144440120 = 2351132713
BaseRepresentation
bin10001001101111…
…11101100111000
3101001210022121002
420212333230320
5243434040440
622155504132
73402502136
oct1046775470
9331708532
10144440120
1174595000
1240458048
1323c03336
141527c756
15ca32115
hex89bfb38

144440120 has 64 divisors (see below), whose sum is σ = 357596640. Its totient is φ = 52504320.

The previous prime is 144440111. The next prime is 144440159. The reversal of 144440120 is 21044441.

It is a happy number.

It is a super-2 number, since 2×1444401202 = 41725896531228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 144440092 and 144440101.

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, 51884 + ... + 54596.

Almost surely, 2144440120 is an apocalyptic number.

144440120 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 144440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178798320).

144440120 is an abundant number, since it is smaller than the sum of its proper divisors (213156520).

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

144440120 is a wasteful number, since it uses less digits than its factorization.

144440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 144440120 is about 12018.3243424364. The cubic root of 144440120 is about 524.6817360513.

Adding to 144440120 its reverse (21044441), we get a palindrome (165484561).

The spelling of 144440120 in words is "one hundred forty-four million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1331 2420 2662 2713 4840 5324 5426 6655 10648 10852 13310 13565 21704 26620 27130 29843 53240 54260 59686 108520 119372 149215 238744 298430 328273 596860 656546 1193720 1313092 1641365 2626184 3282730 3611003 6565460 7222006 13130920 14444012 18055015 28888024 36110030 72220060 144440120