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1413243312 = 243132922693
BaseRepresentation
bin101010000111100…
…0110000110110000
310122111021012100220
41110033012012300
510343242241222
6352122413040
750010240615
oct12417060660
93574235326
101413243312
11665814688
12335361180
13196a37660
14d599c50c
158410db5c
hex543c61b0

1413243312 has 120 divisors (see below), whose sum is σ = 4073478864. Its totient is φ = 419693568.

The previous prime is 1413243311. The next prime is 1413243317. The reversal of 1413243312 is 2133423141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1413243311) 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 23 ways as a sum of consecutive naturals, for example, 523438 + ... + 526130.

Almost surely, 21413243312 is an apocalyptic number.

1413243312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413243312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036739432).

1413243312 is an abundant number, since it is smaller than the sum of its proper divisors (2660235552).

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

1413243312 is a wasteful number, since it uses less digits than its factorization.

1413243312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2740 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1413243312 is about 37593.1285210476. The cubic root of 1413243312 is about 1122.2052935060.

Adding to 1413243312 its reverse (2133423141), we get a palindrome (3546666453).

The spelling of 1413243312 in words is "one billion, four hundred thirteen million, two hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 841 1131 1392 1508 1682 2262 2523 2693 3016 3364 4524 5046 5386 6032 6728 8079 9048 10092 10772 10933 13456 16158 18096 20184 21544 21866 32316 32799 35009 40368 43088 43732 64632 65598 70018 78097 87464 105027 129264 131196 140036 156194 174928 210054 234291 262392 280072 312388 420108 468582 524784 560144 624776 840216 937164 1015261 1249552 1680432 1874328 2030522 2264813 3045783 3748656 4061044 4529626 6091566 6794439 8122088 9059252 12183132 13588878 16244176 18118504 24366264 27177756 29442569 36237008 48732528 54355512 58885138 88327707 108711024 117770276 176655414 235540552 353310828 471081104 706621656 1413243312