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13110404144340 = 22354137314288023
BaseRepresentation
bin1011111011001000000011…
…1110110101110011010100
31201102100020121101011110110
42332302000332311303110
53204300101430104330
643514500404323020
72522124015344256
oct276620076656324
951370217334413
1013110404144340
1141a5100396498
121578a739a3470
137413c8b18089
14334792b6bcd6
1517b071eb0db0
hexbec80fb5cd4

13110404144340 has 96 divisors (see below), whose sum is σ = 37705295206656. Its totient is φ = 3401692277760.

The previous prime is 13110404144333. The next prime is 13110404144377. The reversal of 13110404144340 is 4344140401131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13110404144298 and 13110404144307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6226432 + ... + 8061591.

It is an arithmetic number, because the mean of its divisors is an integer number (392763491736).

Almost surely, 213110404144340 is an apocalyptic number.

13110404144340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110404144340 is an abundant number, since it is smaller than the sum of its proper divisors (24594891062316).

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

13110404144340 is a wasteful number, since it uses less digits than its factorization.

13110404144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14288449 (or 14288447 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13110404144340 its reverse (4344140401131), we get a palindrome (17454544545471).

The spelling of 13110404144340 in words is "thirteen trillion, one hundred ten billion, four hundred four million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 373 410 492 615 746 820 1119 1230 1492 1865 2238 2460 3730 4476 5595 7460 11190 15293 22380 30586 45879 61172 76465 91758 152930 183516 229395 305860 458790 917580 14288023 28576046 42864069 57152092 71440115 85728138 142880230 171456276 214320345 285760460 428640690 585808943 857281380 1171617886 1757426829 2343235772 2929044715 3514853658 5329432579 5858089430 7029707316 8787134145 10658865158 11716178860 15988297737 17574268290 21317730316 26647162895 31976595474 35148536580 53294325790 63953190948 79941488685 106588651580 159882977370 218506735739 319765954740 437013471478 655520207217 874026942956 1092533678695 1311040414434 2185067357390 2622080828868 3277601036085 4370134714780 6555202072170 13110404144340