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13455340308 = 223223291075237
BaseRepresentation
bin11001000100000000…
…00011001100010100
31021201201121002221100
430202000003030110
5210024031342213
610103054350100
7654302335254
oct144200031424
937651532840
1013455340308
115785209363
1227361bb330
13136581b337
14919017964
1553b3e7773
hex322003314

13455340308 has 144 divisors (see below), whose sum is σ = 37064926080. Its totient is φ = 4102678272.

The previous prime is 13455340307. The next prime is 13455340309. The reversal of 13455340308 is 80304355431.

13455340308 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 5 + 340 + 308 = 666.

It is an interprime number because it is at equal distance from previous prime (13455340307) and next prime (13455340309).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13455340307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2566666 + ... + 2571902.

It is an arithmetic number, because the mean of its divisors is an integer number (257395320).

Almost surely, 213455340308 is an apocalyptic number.

13455340308 is a gapful number since it is divisible by the number (18) 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 13455340308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532463040).

13455340308 is an abundant number, since it is smaller than the sum of its proper divisors (23609585772).

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

13455340308 is a wasteful number, since it uses less digits than its factorization.

13455340308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5406 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13455340308 its reverse (80304355431), we get a palindrome (93759695739).

The spelling of 13455340308 in words is "thirteen billion, four hundred fifty-five million, three hundred forty thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 107 116 138 174 207 214 261 276 321 348 414 428 522 642 667 828 963 1044 1284 1334 1926 2001 2461 2668 3103 3852 4002 4922 5237 6003 6206 7383 8004 9309 9844 10474 12006 12412 14766 15711 18618 20948 22149 24012 27927 29532 31422 37236 44298 47133 55854 62844 71369 88596 94266 111708 120451 142738 151873 188532 214107 240902 285476 303746 361353 428214 455619 481804 560359 607492 642321 722706 856428 911238 1084059 1120718 1284642 1366857 1445412 1681077 1822476 2168118 2241436 2569284 2733714 3362154 3493079 4336236 5043231 5467428 6724308 6986158 10086462 10479237 12888257 13972316 16250411 20172924 20958474 25776514 31437711 32500822 38664771 41916948 48751233 51553028 62875422 65001644 77329542 97502466 115994313 125750844 146253699 154659084 195004932 231988626 292507398 373759453 463977252 585014796 747518906 1121278359 1495037812 2242556718 3363835077 4485113436 6727670154 13455340308