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12314040430554 = 2332323971085827
BaseRepresentation
bin1011001100110001011000…
…0000010110111111011010
31121121012200122112220102000
42303030112000112333122
53103223123322234204
642104554142221430
72410442254433622
oct263142600267732
947535618486360
1012314040430554
113a1839a884415
12146a663284876
136b4294314b65
1430800771d882
151654b304c039
hexb3316016fda

12314040430554 has 96 divisors (see below), whose sum is σ = 28678107339840. Its totient is φ = 3916322470368.

The previous prime is 12314040430547. The next prime is 12314040430561. The reversal of 12314040430554 is 45503404041321.

12314040430554 is a `hidden beast` number, since 1 + 2 + 31 + 4 + 0 + 40 + 4 + 30 + 554 = 666.

12314040430554 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12314040430547) and next prime (12314040430561).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10797789 + ... + 11883615.

It is an arithmetic number, because the mean of its divisors is an integer number (298730284790).

Almost surely, 212314040430554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12314040430554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14339053669920).

12314040430554 is an abundant number, since it is smaller than the sum of its proper divisors (16364066909286).

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

12314040430554 is a wasteful number, since it uses less digits than its factorization.

12314040430554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086281 (or 1086252 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 12314040430554 its reverse (45503404041321), we get a palindrome (57817444471875).

The spelling of 12314040430554 in words is "twelve trillion, three hundred fourteen billion, forty million, four hundred thirty thousand, five hundred fifty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 397 414 529 621 794 1058 1191 1242 1587 2382 3174 3573 4761 7146 9131 9522 10719 14283 18262 21438 27393 28566 54786 82179 164358 210013 246537 420026 493074 630039 1085827 1260078 1890117 2171654 3257481 3780234 5670351 6514962 9772443 11340702 19544886 24974021 29317329 49948042 58634658 74922063 149844126 224766189 431073319 449532378 574402483 674298567 862146638 1148804966 1293219957 1348597134 1723207449 2586439914 3446414898 3879659871 5169622347 7759319742 9914686337 10339244694 11638979613 15508867041 19829372674 23277959226 29744059011 31017734082 59488118022 89232177033 178464354066 228037785751 267696531099 456075571502 535393062198 684113357253 1368226714506 2052340071759 4104680143518 6157020215277 12314040430554