Search a number
-
+
13451440149 = 337594872477
BaseRepresentation
bin11001000011100010…
…01011000000010101
31021201110020221221000
430201301023000111
5210022032041044
610102435013513
7654224232450
oct144161130025
937643227830
1013451440149
115782a95094
122734a3a299
131364a84054
149186c0497
1553adc6d69
hex321c4b015

13451440149 has 64 divisors (see below), whose sum is σ = 23217868800. Its totient is φ = 7537696704.

The previous prime is 13451440081. The next prime is 13451440157. The reversal of 13451440149 is 94104415431.

13451440149 is a `hidden beast` number, since 134 + 514 + 4 + 0 + 1 + 4 + 9 = 666.

It is not a de Polignac number, because 13451440149 - 215 = 13451407381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13451440549) 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 63 ways as a sum of consecutive naturals, for example, 5429299 + ... + 5431775.

It is an arithmetic number, because the mean of its divisors is an integer number (362779200).

Almost surely, 213451440149 is an apocalyptic number.

It is an amenable number.

13451440149 is a deficient number, since it is larger than the sum of its proper divisors (9766428651).

13451440149 is a wasteful number, since it uses less digits than its factorization.

13451440149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13451440149 in words is "thirteen billion, four hundred fifty-one million, four hundred forty thousand, one hundred forty-nine".

Divisors: 1 3 7 9 21 27 59 63 177 189 413 487 531 1239 1461 1593 2477 3409 3717 4383 7431 10227 11151 13149 17339 22293 28733 30681 52017 66879 86199 92043 146143 156051 201131 258597 438429 468153 603393 775791 1023001 1206299 1315287 1810179 3069003 3618897 3945861 5430537 8444093 9207009 10856691 25332279 27621027 32570073 71171641 75996837 213514923 227990511 498201487 640544769 1494604461 1921634307 4483813383 13451440149