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13311212343440 = 24511109138774107
BaseRepresentation
bin1100000110110100001000…
…0101010101000010010000
31202010112120021102121200212
43001231002011111002100
53221042330324442230
644151030405103252
72542463152024004
oct301550205250220
952115507377625
1013311212343440
114272287388630
1215ab9760b7b28
1375731b6cb06b
143403a2310704
151813c637b895
hexc1b42155090

13311212343440 has 80 divisors (see below), whose sum is σ = 34071818996160. Its totient is φ = 4796033103360.

The previous prime is 13311212343427. The next prime is 13311212343463. The reversal of 13311212343440 is 4434321211331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×133112123434402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13311212343397 and 13311212343406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69291134 + ... + 69482973.

It is an arithmetic number, because the mean of its divisors is an integer number (425897737452).

Almost surely, 213311212343440 is an apocalyptic number.

13311212343440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311212343440 is an abundant number, since it is smaller than the sum of its proper divisors (20760606652720).

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

13311212343440 is a wasteful number, since it uses less digits than its factorization.

13311212343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138774240 (or 138774234 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 13311212343440 its reverse (4434321211331), we get a palindrome (17745533554771).

The spelling of 13311212343440 in words is "thirteen trillion, three hundred eleven billion, two hundred twelve million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 109 110 176 218 220 436 440 545 872 880 1090 1199 1744 2180 2398 4360 4796 5995 8720 9592 11990 19184 23980 47960 95920 138774107 277548214 555096428 693870535 1110192856 1387741070 1526515177 2220385712 2775482140 3053030354 5550964280 6106060708 7632575885 11101928560 12212121416 15126377663 15265151770 24424242832 30252755326 30530303540 60505510652 61060607080 75631888315 121011021304 122121214160 151263776630 166390154293 242022042608 302527553260 332780308586 605055106520 665560617172 831950771465 1210110213040 1331121234344 1663901542930 2662242468688 3327803085860 6655606171720 13311212343440