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144023516 = 227132317203
BaseRepresentation
bin10001001010110…
…01111111011100
3101001000011010022
420211121333130
5243332223031
622142531312
73366115430
oct1045317734
9331004108
10144023516
117432aaaa
1240296b38
1323ab8820
14151b09c0
15c99d97b
hex8959fdc

144023516 has 48 divisors (see below), whose sum is σ = 323710464. Its totient is φ = 54495936.

The previous prime is 144023513. The next prime is 144023521. The reversal of 144023516 is 615320441.

It is a super-2 number, since 2×1440235162 = 41485546322004512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144023513) 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, 230 + ... + 16973.

It is an arithmetic number, because the mean of its divisors is an integer number (6743968).

Almost surely, 2144023516 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 144023516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161855232).

144023516 is an abundant number, since it is smaller than the sum of its proper divisors (179686948).

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

144023516 is a wasteful number, since it uses less digits than its factorization.

144023516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17250 (or 17248 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 144023516 is about 12000.9797933335. The cubic root of 144023516 is about 524.1768093974.

Adding to 144023516 its reverse (615320441), we get a palindrome (759343957).

The spelling of 144023516 in words is "one hundred forty-four million, twenty-three thousand, five hundred sixteen".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 4186 8372 17203 34406 68812 120421 223639 240842 395669 447278 481684 791338 894556 1565473 1582676 2769683 3130946 5143697 5539366 6261892 10287394 11078732 20574788 36005879 72011758 144023516