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14414135316 = 2237416762467
BaseRepresentation
bin11010110110010011…
…00100000000010100
31101012112201221102120
431123021210000110
5214010004312231
610342144535540
71020124062060
oct153311440024
941175657376
1014414135316
116127449229
1229633215b0
13148935c369
149aa4baaa0
15595689d96
hex35b264014

14414135316 has 96 divisors (see below), whose sum is σ = 39963528192. Its totient is φ = 3957845760.

The previous prime is 14414135299. The next prime is 14414135341. The reversal of 14414135316 is 61353141441.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 199515 + ... + 261981.

It is an arithmetic number, because the mean of its divisors is an integer number (416286752).

Almost surely, 214414135316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14414135316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19981764096).

14414135316 is an abundant number, since it is smaller than the sum of its proper divisors (25549392876).

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

14414135316 is a wasteful number, since it uses less digits than its factorization.

14414135316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62589 (or 62587 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

Adding to 14414135316 its reverse (61353141441), we get a palindrome (75767276757).

The spelling of 14414135316 in words is "fourteen billion, four hundred fourteen million, one hundred thirty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 67 82 84 123 134 164 201 246 268 287 402 469 492 574 804 861 938 1148 1407 1722 1876 2747 2814 3444 5494 5628 8241 10988 16482 19229 32964 38458 57687 62467 76916 115374 124934 187401 230748 249868 374802 437269 749604 874538 1311807 1749076 2561147 2623614 4185289 5122294 5247228 7683441 8370578 10244588 12555867 15366882 16741156 17928029 25111734 29297023 30733764 35856058 50223468 53784087 58594046 71712116 87891069 107568174 117188092 171596849 175782138 215136348 343193698 351564276 514790547 686387396 1029581094 1201177943 2059162188 2402355886 3603533829 4804711772 7207067658 14414135316