Search a number
-
+
144103104 = 263389937
BaseRepresentation
bin10001001011011…
…01011011000000
3101001011012022000
420211231123000
5243342244404
622144344000
73366566445
oct1045553300
9331135260
10144103104
1174384882
1240315000
1323b15b12
14151d19cc
15c9b7339
hex896d6c0

144103104 has 112 divisors (see below), whose sum is σ = 428853600. Its totient is φ = 47443968.

The previous prime is 144103051. The next prime is 144103109. The reversal of 144103104 is 401301441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144103109) 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, 153324 + ... + 154260.

It is an arithmetic number, because the mean of its divisors is an integer number (3829050).

Almost surely, 2144103104 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 144103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214426800).

144103104 is an abundant number, since it is smaller than the sum of its proper divisors (284750496).

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

144103104 is an equidigital number, since it uses as much as digits as its factorization.

144103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144103104 is about 12004.2952312912. The cubic root of 144103104 is about 524.2733457198.

Adding to 144103104 its reverse (401301441), we get a palindrome (545404545).

The spelling of 144103104 in words is "one hundred forty-four million, one hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 89 96 108 144 178 192 216 267 288 356 432 534 576 712 801 864 937 1068 1424 1602 1728 1874 2136 2403 2811 2848 3204 3748 4272 4806 5622 5696 6408 7496 8433 8544 9612 11244 12816 14992 16866 17088 19224 22488 25299 25632 29984 33732 38448 44976 50598 51264 59968 67464 76896 83393 89952 101196 134928 153792 166786 179904 202392 250179 269856 333572 404784 500358 539712 667144 750537 809568 1000716 1334288 1501074 1619136 2001432 2251611 2668576 3002148 4002864 4503222 5337152 6004296 8005728 9006444 12008592 16011456 18012888 24017184 36025776 48034368 72051552 144103104