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144414536 = 23759109401
BaseRepresentation
bin10001001101110…
…01011101001000
3101001202000111112
420212321131020
5243432231121
622155145452
73402334430
oct1046713510
9331660445
10144414536
1174577862
1240445288
1323bc47b6
14152732c0
15ca2975b
hex89b9748

144414536 has 64 divisors (see below), whose sum is σ = 318384000. Its totient is φ = 60134400.

The previous prime is 144414521. The next prime is 144414563. The reversal of 144414536 is 635414441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359936 + ... + 360336.

It is an arithmetic number, because the mean of its divisors is an integer number (4974750).

Almost surely, 2144414536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144414536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159192000).

144414536 is an abundant number, since it is smaller than the sum of its proper divisors (173969464).

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

144414536 is a wasteful number, since it uses less digits than its factorization.

144414536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 144414536 is about 12017.2599206308. The cubic root of 144414536 is about 524.6507560850.

Adding to 144414536 its reverse (635414441), we get a palindrome (779828977).

The spelling of 144414536 in words is "one hundred forty-four million, four hundred fourteen thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 59 109 118 218 236 401 413 436 472 763 802 826 872 1526 1604 1652 2807 3052 3208 3304 5614 6104 6431 11228 12862 22456 23659 25724 43709 45017 47318 51448 87418 90034 94636 165613 174836 180068 189272 305963 331226 349672 360136 611926 662452 1223852 1324904 2447704 2578831 5157662 10315324 18051817 20630648 36103634 72207268 144414536