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13311340040000 = 2654607548243
BaseRepresentation
bin1100000110110100100110…
…1100011100111101000000
31202010112220011201021110002
43001231021230130331000
53221043111022240000
644151051210055132
72542466262312122
oct301551154347500
952115804637402
1013311340040000
114272342476982
1215ab9b0a1a4a8
1375733bcbb262
143403b5271212
151813d26a28d5
hexc1b49b1cf40

13311340040000 has 140 divisors (see below), whose sum is σ = 33062235997824. Its totient is φ = 5315754432000.

The previous prime is 13311340039981. The next prime is 13311340040023. The reversal of 13311340040000 is 4004311331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24005879 + ... + 24554121.

Almost surely, 213311340040000 is an apocalyptic number.

13311340040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311340040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16531117998912).

13311340040000 is an abundant number, since it is smaller than the sum of its proper divisors (19750895957824).

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

13311340040000 is an frugal number, since it uses more digits than its factorization.

13311340040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548882 (or 548857 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13311340040000 its reverse (4004311331), we get a palindrome (13315344351331).

The spelling of 13311340040000 in words is "thirteen trillion, three hundred eleven billion, three hundred forty million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 607 625 800 1000 1214 1250 1600 2000 2428 2500 3035 4000 4856 5000 6070 8000 9712 10000 12140 15175 19424 20000 24280 30350 38848 40000 48560 60700 75875 97120 121400 151750 194240 242800 303500 379375 485600 548243 607000 758750 971200 1096486 1214000 1517500 2192972 2428000 2741215 3035000 4385944 4856000 5482430 6070000 8771888 10964860 12140000 13706075 17543776 21929720 24280000 27412150 35087552 43859440 54824300 68530375 87718880 109648600 137060750 175437760 219297200 274121500 332783501 342651875 438594400 548243000 665567002 685303750 877188800 1096486000 1331134004 1370607500 1663917505 2192972000 2662268008 2741215000 3327835010 4385944000 5324536016 5482430000 6655670020 8319587525 10649072032 10964860000 13311340040 16639175050 21298144064 21929720000 26622680080 33278350100 41597937625 53245360160 66556700200 83195875250 106490720320 133113400400 166391750500 207989688125 266226800800 332783501000 415979376250 532453601600 665567002000 831958752500 1331134004000 1663917505000 2662268008000 3327835010000 6655670020000 13311340040000