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144368747328 = 2631357840043
BaseRepresentation
bin1000011001110100001…
…1000100001101000000
3111210122022021020102210
42012131003010031000
54331131344403303
6150153323142120
713300410050661
oct2063503041500
9453568236383
10144368747328
1156254437723
1223b90974940
13107c9a01aa0
146db792d368
153b4e535203
hex219d0c4340

144368747328 has 56 divisors (see below), whose sum is σ = 411358392928. Its totient is φ = 44421152256.

The previous prime is 144368747321. The next prime is 144368747351. The reversal of 144368747328 is 823747863441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144368747321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28917526 + ... + 28922517.

It is an arithmetic number, because the mean of its divisors is an integer number (7345685588).

Almost surely, 2144368747328 is an apocalyptic number.

It is an amenable number.

144368747328 is an abundant number, since it is smaller than the sum of its proper divisors (266989645600).

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

144368747328 is a wasteful number, since it uses less digits than its factorization.

144368747328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57840071 (or 57840061 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 57.

The spelling of 144368747328 in words is "one hundred forty-four billion, three hundred sixty-eight million, seven hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 57840043 115680086 173520129 231360172 347040258 462720344 694080516 751920559 925440688 1388161032 1503841118 1850881376 2255761677 2776322064 3007682236 3701762752 4511523354 5552644128 6015364472 9023046708 11105288256 12030728944 18046093416 24061457888 36092186832 48122915776 72184373664 144368747328