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144111440 = 24511295647
BaseRepresentation
bin10001001011011…
…11011101010000
3101001011121201202
420211233131100
5243343031230
622144450332
73366632654
oct1045573520
9331147652
10144111440
1174390070
12403199a8
1323b19855
14151d4a64
15c9b9a45
hex896f750

144111440 has 80 divisors (see below), whose sum is σ = 378190080. Its totient is φ = 50588160.

The previous prime is 144111437. The next prime is 144111449. The reversal of 144111440 is 44111441.

It is a happy number.

144111440 is digitally balanced in base 2, 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144111449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22697 + ... + 28343.

It is an arithmetic number, because the mean of its divisors is an integer number (4727376).

Almost surely, 2144111440 is an apocalyptic number.

144111440 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 144111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189095040).

144111440 is an abundant number, since it is smaller than the sum of its proper divisors (234078640).

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

144111440 is a wasteful number, since it uses less digits than its factorization.

144111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 144111440 is about 12004.6424353248. The cubic root of 144111440 is about 524.2834548204.

Adding to 144111440 its reverse (44111441), we get a palindrome (188222881).

Subtracting from 144111440 its reverse (44111441), we obtain a palindrome (99999999).

It can be divided in two parts, 14411 and 1440, that added together give a palindrome (15851).

The spelling of 144111440 in words is "one hundred forty-four million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 5647 6380 11294 12760 22588 25520 28235 45176 56470 62117 90352 112940 124234 163763 225880 248468 310585 327526 451760 496936 621170 655052 818815 993872 1242340 1310104 1637630 1801393 2484680 2620208 3275260 3602786 4969360 6550520 7205572 9006965 13101040 14411144 18013930 28822288 36027860 72055720 144111440