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144440440 = 23543791063
BaseRepresentation
bin10001001101111…
…11110001111000
3101001210100000221
420212333301320
5243434043230
622155505424
73402503104
oct1046776170
9331710027
10144440440
1174595271
1240458274
1323c03521
141527c904
15ca3227a
hex89bfc78

144440440 has 64 divisors (see below), whose sum is σ = 337075200. Its totient is φ = 55665792.

The previous prime is 144440431. The next prime is 144440441. The reversal of 144440440 is 44044441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144440441) 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, 135349 + ... + 136411.

It is an arithmetic number, because the mean of its divisors is an integer number (5266800).

Almost surely, 2144440440 is an apocalyptic number.

144440440 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 144440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168537600).

144440440 is an abundant number, since it is smaller than the sum of its proper divisors (192634760).

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

144440440 is a wasteful number, since it uses less digits than its factorization.

144440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 144440440 is about 12018.3376554331. The cubic root of 144440440 is about 524.6821235199.

Adding to 144440440 its reverse (44044441), we get a palindrome (188484881).

The spelling of 144440440 in words is "one hundred forty-four million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 79 86 158 172 215 316 344 395 430 632 790 860 1063 1580 1720 2126 3160 3397 4252 5315 6794 8504 10630 13588 16985 21260 27176 33970 42520 45709 67940 83977 91418 135880 167954 182836 228545 335908 365672 419885 457090 671816 839770 914180 1679540 1828360 3359080 3611011 7222022 14444044 18055055 28888088 36110110 72220220 144440440