Search a number
-
+
144001440 = 25325119091
BaseRepresentation
bin10001001010101…
…00100110100000
3101000222000211200
420211110212200
5243331021230
622142241200
73365664162
oct1045244640
9330860750
10144001440
1174315460
1240286200
1323aab76b
14151a6932
15c997160
hex89549a0

144001440 has 144 divisors (see below), whose sum is σ = 536137056. Its totient is φ = 34905600.

The previous prime is 144001433. The next prime is 144001463. The reversal of 144001440 is 44100441.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 11295 + ... + 20385.

It is an arithmetic number, because the mean of its divisors is an integer number (3723174).

Almost surely, 2144001440 is an apocalyptic number.

144001440 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 144001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268068528).

144001440 is an abundant number, since it is smaller than the sum of its proper divisors (392135616).

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

144001440 is a wasteful number, since it uses less digits than its factorization.

144001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9123 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144001440 is about 12000.0599998500. The cubic root of 144001440 is about 524.1500259969.

Adding to 144001440 its reverse (44100441), we get a palindrome (188101881).

Subtracting from 144001440 its reverse (44100441), we obtain a palindrome (99900999).

It can be divided in two parts, 144001 and 440, that added together give a palindrome (144441).

The spelling of 144001440 in words is "one hundred forty-four million, one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 9091 15840 18182 27273 36364 45455 54546 72728 81819 90910 100001 109092 136365 145456 163638 181820 200002 218184 272730 290912 300003 327276 363640 400004 409095 436368 500005 545460 600006 654552 727280 800008 818190 872736 900009 1000010 1090920 1200012 1309104 1454560 1500015 1600016 1636380 1800018 2000020 2181840 2400024 2618208 3000030 3200032 3272760 3600036 4000040 4363680 4500045 4800048 6000060 6545520 7200072 8000080 9000090 9600096 12000120 13091040 14400144 16000160 18000180 24000240 28800288 36000360 48000480 72000720 144001440