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144440520 = 23357373461
BaseRepresentation
bin10001001101111…
…11110011001000
3101001210100010220
420212333303020
5243434044040
622155510040
73402503250
oct1046776310
9331710126
10144440520
1174595334
1240458320
1323c03583
141527c960
15ca322d0
hex89bfcc8

144440520 has 128 divisors (see below), whose sum is σ = 497629440. Its totient is φ = 32855040.

The previous prime is 144440479. The next prime is 144440521. The reversal of 144440520 is 25044441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (144440521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313090 + ... + 313550.

It is an arithmetic number, because the mean of its divisors is an integer number (3887730).

Almost surely, 2144440520 is an apocalyptic number.

144440520 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 144440520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248814720).

144440520 is an abundant number, since it is smaller than the sum of its proper divisors (353188920).

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

144440520 is a wasteful number, since it uses less digits than its factorization.

144440520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 144440520 is about 12018.3409836799. The cubic root of 144440520 is about 524.6822203870.

Adding to 144440520 its reverse (25044441), we get a palindrome (169484961).

The spelling of 144440520 in words is "one hundred forty-four million, four hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 373 420 461 746 840 922 1119 1383 1492 1844 1865 2238 2305 2611 2766 2984 3227 3688 3730 4476 4610 5222 5532 5595 6454 6915 7460 7833 8952 9220 9681 10444 11064 11190 12908 13055 13830 14920 15666 16135 18440 19362 20888 22380 25816 26110 27660 31332 32270 38724 39165 44760 48405 52220 55320 62664 64540 77448 78330 96810 104440 129080 156660 171953 193620 313320 343906 387240 515859 687812 859765 1031718 1203671 1375624 1719530 2063436 2407342 2579295 3439060 3611013 4126872 4814684 5158590 6018355 6878120 7222026 9629368 10317180 12036710 14444052 18055065 20634360 24073420 28888104 36110130 48146840 72220260 144440520