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13320434000000 = 27566660217
BaseRepresentation
bin1100000111010110011110…
…1111001010000010000000
31202011102100221121022100102
43001311213233022002000
53221220222101000000
644155153425141532
72543240525561051
oct301654757120200
952142327538312
1013320434000000
1142761898036a6
1215b170a48a8a8
1375815b078a8a
143409d8d44728
15181765c3e3d5
hexc1d67bca080

13320434000000 has 112 divisors (see below), whose sum is σ = 33170583028290. Its totient is φ = 5328172800000.

The previous prime is 13320433999997. The next prime is 13320434000099. The reversal of 13320434000000 is 43402331.

It can be written as a sum of positive squares in 7 ways, for example, as 3204014080576 + 10116419919424 = 1789976^2 + 3180632^2 .

It is a super-4 number, since 4×133204340000004 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1330109 + ... + 5330108.

Almost surely, 213320434000000 is an apocalyptic number.

13320434000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320434000000 is an abundant number, since it is smaller than the sum of its proper divisors (19850149028290).

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

13320434000000 is an frugal number, since it uses more digits than its factorization.

13320434000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6660261 (or 6660224 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13320434000000 its reverse (43402331), we get a palindrome (13320477402331).

The spelling of 13320434000000 in words is "thirteen trillion, three hundred twenty billion, four hundred thirty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 6660217 13320434 26640868 33301085 53281736 66602170 106563472 133204340 166505425 213126944 266408680 333010850 426253888 532817360 666021700 832527125 852507776 1065634720 1332043400 1665054250 2131269440 2664086800 3330108500 4162635625 4262538880 5328173600 6660217000 8325271250 10656347200 13320434000 16650542500 20813178125 21312694400 26640868000 33301085000 41626356250 53281736000 66602170000 83252712500 104065890625 106563472000 133204340000 166505425000 208131781250 266408680000 333010850000 416263562500 532817360000 666021700000 832527125000 1332043400000 1665054250000 2664086800000 3330108500000 6660217000000 13320434000000