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144641828445 = 351271312292531
BaseRepresentation
bin1000011010110101010…
…0110010011001011101
3111211100100010012022020
42012231110302121131
54332211302002240
6150240400210353
713310234153562
oct2065524623135
9454310105266
10144641828445
11563845a55a4
12240483099b9
131084146614a
147001cd6869
153b684c80d0
hex21ad53265d

144641828445 has 64 divisors (see below), whose sum is σ = 236149309440. Its totient is φ = 75589113600.

The previous prime is 144641828431. The next prime is 144641828477. The reversal of 144641828445 is 544828146441.

144641828445 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144641828445 - 218 = 144641566301 is a prime.

It is a super-2 number, since 2×1446418284452 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57146830 + ... + 57149360.

It is an arithmetic number, because the mean of its divisors is an integer number (3689832960).

Almost surely, 2144641828445 is an apocalyptic number.

144641828445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144641828445 is a deficient number, since it is larger than the sum of its proper divisors (91507480995).

144641828445 is a wasteful number, since it uses less digits than its factorization.

144641828445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026.

The product of its digits is 3932160, while the sum is 51.

The spelling of 144641828445 in words is "one hundred forty-four billion, six hundred forty-one million, eight hundred twenty-eight thousand, four hundred forty-five".

Divisors: 1 3 5 15 127 131 229 381 393 635 655 687 1145 1905 1965 2531 3435 7593 12655 16637 29083 29999 37965 49911 83185 87249 89997 145415 149995 249555 321437 331561 436245 449985 579599 964311 994683 1607185 1657805 1738797 2897995 3809873 4821555 4973415 8693985 11429619 19049365 42108247 57148095 73609073 75927469 126324741 210541235 220827219 227782407 368045365 379637345 631623705 1104136095 1138912035 9642788563 28928365689 48213942815 144641828445