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144110340 = 22345118087
BaseRepresentation
bin10001001011011…
…11001100000100
3101001011120020000
420211233030010
5243343012330
622144441300
73366626523
oct1045571404
9331146200
10144110340
117438a260
1240319230
1323b191ba
14151d44ba
15c9b9560
hex896f304

144110340 has 120 divisors (see below), whose sum is σ = 493238592. Its totient is φ = 34931520.

The previous prime is 144110311. The next prime is 144110353. The reversal of 144110340 is 43011441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13777 + ... + 21863.

Almost surely, 2144110340 is an apocalyptic number.

144110340 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 144110340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246619296).

144110340 is an abundant number, since it is smaller than the sum of its proper divisors (349128252).

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

144110340 is a wasteful number, since it uses less digits than its factorization.

144110340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8119 (or 8108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144110340 is about 12004.5966196287. The cubic root of 144110340 is about 524.2821208683.

Adding to 144110340 its reverse (43011441), we get a palindrome (187121781).

It can be divided in two parts, 1441 and 10340, that added together give a triangular number (11781 = T153).

The spelling of 144110340 in words is "one hundred forty-four million, one hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8087 8910 16174 17820 24261 32348 40435 48522 72783 80870 88957 97044 121305 145566 161740 177914 218349 242610 266871 291132 355828 363915 436698 444785 485220 533742 655047 727830 800613 873396 889570 1067484 1091745 1310094 1334355 1455660 1601226 1779140 2183490 2401839 2620188 2668710 3202452 3275235 4003065 4366980 4803678 5337420 6550470 7205517 8006130 9607356 12009195 13100940 14411034 16012260 24018390 28822068 36027585 48036780 72055170 144110340