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144123540 = 2235111391571
BaseRepresentation
bin10001001011100…
…10011010010100
3101001012020022220
420211302122110
5243343423130
622145022340
73400013151
oct1045623224
9331166286
10144123540
1174399170
12403249b0
1323b22202
14151d9228
15c9bd410
hex8972694

144123540 has 96 divisors (see below), whose sum is σ = 443681280. Its totient is φ = 34665600.

The previous prime is 144123521. The next prime is 144123559. The reversal of 144123540 is 45321441.

It is an interprime number because it is at equal distance from previous prime (144123521) and next prime (144123559).

It is a self number, because there is not a number n which added to its sum of digits gives 144123540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90955 + ... + 92525.

It is an arithmetic number, because the mean of its divisors is an integer number (4621680).

Almost surely, 2144123540 is an apocalyptic number.

144123540 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 144123540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221840640).

144123540 is an abundant number, since it is smaller than the sum of its proper divisors (299557740).

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

144123540 is a wasteful number, since it uses less digits than its factorization.

144123540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 144123540 is about 12005.1463964418. The cubic root of 144123540 is about 524.2981278454.

Adding to 144123540 its reverse (45321441), we get a palindrome (189444981).

The spelling of 144123540 in words is "one hundred forty-four million, one hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 139 165 220 278 330 417 556 660 695 834 1390 1529 1571 1668 2085 2780 3058 3142 4170 4587 4713 6116 6284 7645 7855 8340 9174 9426 15290 15710 17281 18348 18852 22935 23565 30580 31420 34562 45870 47130 51843 69124 86405 91740 94260 103686 172810 207372 218369 259215 345620 436738 518430 655107 873476 1036860 1091845 1310214 2183690 2402059 2620428 3275535 4367380 4804118 6551070 7206177 9608236 12010295 13102140 14412354 24020590 28824708 36030885 48041180 72061770 144123540