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144442040 = 23529239521
BaseRepresentation
bin10001001110000…
…00001010111000
3101001210102020012
420213000022320
5243434121130
622155521052
73402510551
oct1047001270
9331712205
10144442040
1174596496
1240459188
1323c04182
141527d328
15ca32995
hex89c02b8

144442040 has 64 divisors (see below), whose sum is σ = 338256000. Its totient is φ = 55444480.

The previous prime is 144442003. The next prime is 144442049. The reversal of 144442040 is 40244441.

144442040 = 13042 + 13052 + ... + 13832.

It is a junction number, because it is equal to n+sod(n) for n = 144441997 and 144442015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144442049) 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, 276980 + ... + 277500.

It is an arithmetic number, because the mean of its divisors is an integer number (5285250).

Almost surely, 2144442040 is an apocalyptic number.

144442040 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 144442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169128000).

144442040 is an abundant number, since it is smaller than the sum of its proper divisors (193813960).

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

144442040 is a wasteful number, since it uses less digits than its factorization.

144442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 144442040 is about 12018.4042201950. The cubic root of 144442040 is about 524.6840608543.

Adding to 144442040 its reverse (40244441), we get a palindrome (184686481).

The spelling of 144442040 in words is "one hundred forty-four million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 239 290 478 521 580 956 1042 1160 1195 1912 2084 2390 2605 4168 4780 5210 6931 9560 10420 13862 15109 20840 27724 30218 34655 55448 60436 69310 75545 120872 124519 138620 151090 249038 277240 302180 498076 604360 622595 996152 1245190 2490380 3611051 4980760 7222102 14444204 18055255 28888408 36110510 72221020 144442040