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144014024 = 23711389601
BaseRepresentation
bin10001001010101…
…11101011001000
3101000222200002202
420211113223020
5243331422044
622142415332
73366045650
oct1045275310
9330880082
10144014024
1174323960
1240291548
1323ab43cb
14151ab360
15c99ac4e
hex8957ac8

144014024 has 64 divisors (see below), whose sum is σ = 338083200. Its totient is φ = 55872000.

The previous prime is 144013999. The next prime is 144014081. The reversal of 144014024 is 420410441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144013987 and 144014005.

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, 239324 + ... + 239924.

It is an arithmetic number, because the mean of its divisors is an integer number (5282550).

Almost surely, 2144014024 is an apocalyptic number.

144014024 is a gapful number since it is divisible by the number (14) 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 144014024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169041600).

144014024 is an abundant number, since it is smaller than the sum of its proper divisors (194069176).

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

144014024 is a wasteful number, since it uses less digits than its factorization.

144014024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 144014024 is about 12000.5843191071. The cubic root of 144014024 is about 524.1652936956.

Adding to 144014024 its reverse (420410441), we get a palindrome (564424465).

The spelling of 144014024 in words is "one hundred forty-four million, fourteen thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 389 601 616 778 1202 1556 2404 2723 3112 4207 4279 4808 5446 6611 8414 8558 10892 13222 16828 17116 21784 26444 29953 33656 34232 46277 52888 59906 92554 119812 185108 233789 239624 370216 467578 935156 1636523 1870312 2571679 3273046 5143358 6546092 10286716 13092184 18001753 20573432 36003506 72007012 144014024