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144201411450 = 23252320447581
BaseRepresentation
bin1000011001001100010…
…0101110101101111010
3111210012122101200202200
42012103010232231322
54330311030131300
6150124544411030
713263305526165
oct2062304565572
9453178350680
10144201411450
1156178a34808
1223b44916a76
13107a1143285
146d9d610adc
153b3e9ce200
hex219312eb7a

144201411450 has 36 divisors (see below), whose sum is σ = 387421126638. Its totient is φ = 38453709600.

The previous prime is 144201411443. The next prime is 144201411463. The reversal of 144201411450 is 54114102441.

It is a happy number.

144201411450 is a `hidden beast` number, since 1 + 4 + 4 + 201 + 4 + 1 + 1 + 450 = 666.

144201411450 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 101584350729 + 42617060721 = 318723^2 + 206439^2 .

It is a super-2 number, since 2×1442014114502 (a number of 23 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 160223341 + ... + 160224240.

Almost surely, 2144201411450 is an apocalyptic number.

144201411450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144201411450 is an abundant number, since it is smaller than the sum of its proper divisors (243219715188).

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

144201411450 is a wasteful number, since it uses less digits than its factorization.

144201411450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320447599 (or 320447591 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 144201411450 its reverse (54114102441), we get a palindrome (198315513891).

The spelling of 144201411450 in words is "one hundred forty-four billion, two hundred one million, four hundred eleven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 320447581 640895162 961342743 1602237905 1922685486 2884028229 3204475810 4806713715 5768056458 8011189525 9613427430 14420141145 16022379050 24033568575 28840282290 48067137150 72100705725 144201411450