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144010240 = 2105112557
BaseRepresentation
bin10001001010101…
…10110000000000
3101000222110220121
420211112300000
5243331311430
622142350024
73366031633
oct1045266000
9330873817
10144010240
1174321030
124028b314
1323ab277a
14151a9c1a
15c999a7a
hex8956c00

144010240 has 88 divisors (see below), whose sum is σ = 377008272. Its totient is φ = 52346880.

The previous prime is 144010211. The next prime is 144010261. The reversal of 144010240 is 42010441.

144010240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55042 + ... + 57598.

Almost surely, 2144010240 is an apocalyptic number.

144010240 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 144010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188504136).

144010240 is an abundant number, since it is smaller than the sum of its proper divisors (232998032).

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

144010240 is a wasteful number, since it uses less digits than its factorization.

144010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 144010240 is about 12000.4266590818. The cubic root of 144010240 is about 524.1607028028.

Adding to 144010240 its reverse (42010441), we get a palindrome (186020681).

It can be divided in two parts, 1440 and 10240, that multiplied together give a square (14745600 = 38402).

The spelling of 144010240 in words is "one hundred forty-four million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2557 2560 2816 3520 5114 5120 5632 7040 10228 11264 12785 14080 20456 25570 28127 28160 40912 51140 56254 56320 81824 102280 112508 140635 163648 204560 225016 281270 327296 409120 450032 562540 654592 818240 900064 1125080 1309184 1636480 1800128 2250160 2618368 3272960 3600256 4500320 6545920 7200512 9000640 13091840 14401024 18001280 28802048 36002560 72005120 144010240