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144236840 = 235112171753
BaseRepresentation
bin10001001100011…
…10000100101000
3101001101222202012
420212032010220
5243411034330
622151255052
73400664366
oct1046160450
9331358665
10144236840
1174466300
124037a488
1323b61957
1415228636
15c9e1c95
hex898e128

144236840 has 96 divisors (see below), whose sum is σ = 377916840. Its totient is φ = 49336320.

The previous prime is 144236839. The next prime is 144236867. The reversal of 144236840 is 48632441.

144236840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 94984516 + 49252324 = 9746^2 + 7018^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144236797 and 144236806.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81404 + ... + 83156.

Almost surely, 2144236840 is an apocalyptic number.

144236840 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 144236840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188958420).

144236840 is an abundant number, since it is smaller than the sum of its proper divisors (233680000).

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

144236840 is a wasteful number, since it uses less digits than its factorization.

144236840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 144236840 is about 12009.8642790000. The cubic root of 144236840 is about 524.4354808841.

The spelling of 144236840 in words is "one hundred forty-four million, two hundred thirty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 242 340 374 440 484 605 680 748 935 968 1210 1496 1753 1870 2057 2420 3506 3740 4114 4840 7012 7480 8228 8765 10285 14024 16456 17530 19283 20570 29801 35060 38566 41140 59602 70120 77132 82280 96415 119204 149005 154264 192830 212113 238408 298010 327811 385660 424226 596020 655622 771320 848452 1060565 1192040 1311244 1639055 1696904 2121130 2622488 3278110 3605921 4242260 6556220 7211842 8484520 13112440 14423684 18029605 28847368 36059210 72118420 144236840