Search a number
-
+
336144972816 = 2434259371121
BaseRepresentation
bin1001110010000111100…
…11010011110000010000
31012010122112001220010000
410321003303103300100
521001411103112231
6414231201210000
733166662061002
oct4710363236020
91163575056100
10336144972816
1111a61608a364
1255192330900
132591031b3a3
14123ab736372
158b25a0a6e6
hex4e43cd3c10

336144972816 has 50 divisors (see below), whose sum is σ = 972901078622. Its totient is φ = 112048323840.

The previous prime is 336144972769. The next prime is 336144972817. The reversal of 336144972816 is 618279441633.

336144972816 is a `hidden beast` number, since 3 + 3 + 614 + 4 + 9 + 7 + 2 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 260002089216 + 76142883600 = 509904^2 + 275940^2 .

It is a super-2 number, since 2×3361449728162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (336144972817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 129684265 + ... + 129686856.

Almost surely, 2336144972816 is an apocalyptic number.

336144972816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

336144972816 is an abundant number, since it is smaller than the sum of its proper divisors (636756105806).

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

336144972816 is a wasteful number, since it uses less digits than its factorization.

336144972816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259371141 (or 259371126 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 336144972816 in words is "three hundred thirty-six billion, one hundred forty-four million, nine hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 259371121 518742242 778113363 1037484484 1556226726 2074968968 2334340089 3112453452 4149937936 4668680178 6224906904 7003020267 9337360356 12449813808 14006040534 18674720712 21009060801 28012081068 37349441424 42018121602 56024162136 84036243204 112048324272 168072486408 336144972816