Search a number
-
+
144110304 = 25321361631
BaseRepresentation
bin10001001011011…
…11001011100000
3101001011120011200
420211233023200
5243343012204
622144441200
73366626442
oct1045571340
9331146150
10144110304
117438a228
1240319200
1323b19190
14151d4492
15c9b9539
hex896f2e0

144110304 has 144 divisors (see below), whose sum is σ = 449283744. Its totient is φ = 43545600.

The previous prime is 144110297. The next prime is 144110311. The reversal of 144110304 is 403011441.

It is an interprime number because it is at equal distance from previous prime (144110297) and next prime (144110311).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 228069 + ... + 228699.

It is an arithmetic number, because the mean of its divisors is an integer number (3120026).

Almost surely, 2144110304 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 144110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224641872).

144110304 is an abundant number, since it is smaller than the sum of its proper divisors (305173440).

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

144110304 is a wasteful number, since it uses less digits than its factorization.

144110304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 710 counting only the distinct ones).

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

The square root of 144110304 is about 12004.5951202029. The cubic root of 144110304 is about 524.2820772116.

Adding to 144110304 its reverse (403011441), we get a palindrome (547121745).

The spelling of 144110304 in words is "one hundred forty-four million, one hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 61 72 78 96 104 117 122 144 156 183 208 234 244 288 312 366 416 468 488 549 624 631 732 793 936 976 1098 1248 1262 1464 1586 1872 1893 1952 2196 2379 2524 2928 3172 3744 3786 4392 4758 5048 5679 5856 6344 7137 7572 8203 8784 9516 10096 11358 12688 14274 15144 16406 17568 19032 20192 22716 24609 25376 28548 30288 32812 38064 38491 45432 49218 57096 60576 65624 73827 76128 76982 90864 98436 114192 115473 131248 147654 153964 181728 196872 228384 230946 262496 295308 307928 346419 393744 461892 500383 590616 615856 692838 787488 923784 1000766 1181232 1231712 1385676 1501149 1847568 2001532 2362464 2771352 3002298 3695136 4003064 4503447 5542704 6004596 8006128 9006894 11085408 12009192 16012256 18013788 24018384 36027576 48036768 72055152 144110304