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13243244042340 = 223251355710160693
BaseRepresentation
bin1100000010110110111011…
…0110110101100001100100
31201220001010110002011202200
43000231232312311201210
53213434130433323330
644055510132334500
72534535635011524
oct300555666654144
951801113064680
1013243244042340
114246479013a64
12159a767774430
13750aa9179110
1433ad95485684
1517e7492e0a60
hexc0b6edb5864

13243244042340 has 144 divisors (see below), whose sum is σ = 43338936474288. Its totient is φ = 3254022577152.

The previous prime is 13243244042323. The next prime is 13243244042393. The reversal of 13243244042340 is 4324044234231.

13243244042340 is a `hidden beast` number, since 1 + 3 + 243 + 2 + 4 + 404 + 2 + 3 + 4 + 0 = 666.

13243244042340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 489431764836 + 12753812277504 = 699594^2 + 3571248^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13243244042295 and 13243244042304.

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, 3776967 + ... + 6383726.

It is an arithmetic number, because the mean of its divisors is an integer number (300964836627).

Almost surely, 213243244042340 is an apocalyptic number.

13243244042340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13243244042340 is an abundant number, since it is smaller than the sum of its proper divisors (30095692431948).

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

13243244042340 is a wasteful number, since it uses less digits than its factorization.

13243244042340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10161278 (or 10161273 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 13243244042340 its reverse (4324044234231), we get a palindrome (17567288276571).

The spelling of 13243244042340 in words is "thirteen trillion, two hundred forty-three billion, two hundred forty-four million, forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 557 585 780 1114 1170 1671 2228 2340 2785 3342 5013 5570 6684 7241 8355 10026 11140 14482 16710 20052 21723 25065 28964 33420 36205 43446 50130 65169 72410 86892 100260 108615 130338 144820 217230 260676 325845 434460 651690 1303380 10160693 20321386 30482079 40642772 50803465 60964158 91446237 101606930 121928316 132089009 152410395 182892474 203213860 264178018 304820790 365784948 396267027 457231185 528356036 609641580 660445045 792534054 914462370 1188801081 1320890090 1585068108 1828924740 1981335135 2377602162 2641780180 3962670270 4755204324 5659506001 5944005405 7925340540 11319012002 11888010810 16978518003 22638024004 23776021620 28297530005 33957036006 50935554009 56595060010 67914072012 73573578013 84892590015 101871108018 113190120020 147147156026 169785180030 203742216036 220720734039 254677770045 294294312052 339570360060 367867890065 441441468078 509355540090 662162202117 735735780130 882882936156 1018711080180 1103603670195 1324324404234 1471471560260 2207207340390 2648648808468 3310811010585 4414414680780 6621622021170 13243244042340