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13312214210440 = 23510725031242641
BaseRepresentation
bin1100000110110111110111…
…0011001001011110001000
31202010122011002121201212001
43001231331303021132020
53221101403314213230
644151314034400344
72542530035532025
oct301557563113610
952118132551761
1013312214210440
114272750967092
1215abbb57300b4
1375744b13cc82
143404593c654c
151814342cb0ca
hexc1b7dcc9788

13312214210440 has 64 divisors (see below), whose sum is σ = 30244514520960. Its totient is φ = 5273008634880.

The previous prime is 13312214210419. The next prime is 13312214210489. The reversal of 13312214210440 is 4401241221331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13312214210399 and 13312214210408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10091520 + ... + 11334160.

It is an arithmetic number, because the mean of its divisors is an integer number (472570539390).

Almost surely, 213312214210440 is an apocalyptic number.

13312214210440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312214210440 is an abundant number, since it is smaller than the sum of its proper divisors (16932300310520).

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

13312214210440 is a wasteful number, since it uses less digits than its factorization.

13312214210440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245262 (or 1245258 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13312214210440 its reverse (4401241221331), we get a palindrome (17713455431771).

The spelling of 13312214210440 in words is "thirteen trillion, three hundred twelve billion, two hundred fourteen million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 535 856 1070 2140 2503 4280 5006 10012 12515 20024 25030 50060 100120 267821 535642 1071284 1242641 1339105 2142568 2485282 2678210 4970564 5356420 6213205 9941128 10712840 12426410 24852820 49705640 132962587 265925174 531850348 664812935 1063700696 1329625870 2659251740 3110330423 5318503480 6220660846 12441321692 15551652115 24882643384 31103304230 62206608460 124413216920 332805355261 665610710522 1331221421044 1664026776305 2662442842088 3328053552610 6656107105220 13312214210440