Search a number
-
+
14413100240 = 2457118232843
BaseRepresentation
bin11010110110001011…
…00111010011010000
31101012110210100120102
431123011213103100
5214004223201430
610342110431532
71020112221260
oct153305472320
941173710512
1014413100240
1161269015a0
122962b025a8
1314890891a6
149aa2cb7a0
15595533345
hex35b1674d0

14413100240 has 160 divisors (see below), whose sum is σ = 41844750336. Its totient is φ = 4485358080.

The previous prime is 14413100231. The next prime is 14413100243. The reversal of 14413100240 is 4200131441.

14413100240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14413100243) 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 31 ways as a sum of consecutive naturals, for example, 5068259 + ... + 5071101.

Almost surely, 214413100240 is an apocalyptic number.

14413100240 is a gapful number since it is divisible by the number (10) 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 14413100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20922375168).

14413100240 is an abundant number, since it is smaller than the sum of its proper divisors (27431650096).

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

14413100240 is a wasteful number, since it uses less digits than its factorization.

14413100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14413100240 its reverse (4200131441), we get a palindrome (18613231681).

The spelling of 14413100240 in words is "fourteen billion, four hundred thirteen million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 823 880 1232 1540 1646 2843 3080 3292 4115 5686 5761 6160 6584 8230 9053 11372 11522 13168 14215 16460 18106 19901 22744 23044 28430 28805 31273 32920 36212 39802 45265 45488 46088 56860 57610 62546 63371 65840 72424 79604 90530 92176 99505 113720 115220 125092 126742 144848 156365 159208 181060 199010 218911 227440 230440 250184 253484 312730 316855 318416 362120 398020 437822 460880 500368 506968 625460 633710 724240 796040 875644 1013936 1094555 1250920 1267420 1592080 1751288 2189110 2339789 2501840 2534840 3502576 4378220 4679578 5069680 8756440 9359156 11698945 16378523 17512880 18718312 23397890 25737679 32757046 37436624 46795780 51475358 65514092 81892615 93591560 102950716 128688395 131028184 163785230 180163753 187183120 205901432 257376790 262056368 327570460 360327506 411802864 514753580 655140920 720655012 900818765 1029507160 1310281840 1441310024 1801637530 2059014320 2882620048 3603275060 7206550120 14413100240