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1366316214912 = 27331135940557
BaseRepresentation
bin10011111000011110110…
…010101110101010000000
311211121200221000012222000
4103320132302232222000
5134341203422334122
62523402122144000
7200466406126665
oct23703662565200
94747627005860
101366316214912
114874a6979a80
121a0974652000
139bac62a77ac
144a1b6c41a6c
152581ae240ac
hex13e1ecaea80

1366316214912 has 128 divisors (see below), whose sum is σ = 4399124299200. Its totient is φ = 414035205120.

The previous prime is 1366316214871. The next prime is 1366316214917. The reversal of 1366316214912 is 2194126136631.

1366316214912 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 3 + 1 + 621 + 4 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1366316214917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17932263 + ... + 18008294.

Almost surely, 21366316214912 is an apocalyptic number.

1366316214912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1366316214912 is an abundant number, since it is smaller than the sum of its proper divisors (3032808084288).

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

1366316214912 is a wasteful number, since it uses less digits than its factorization.

1366316214912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35940591 (or 35940573 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 1366316214912 in words is "one trillion, three hundred sixty-six billion, three hundred sixteen million, two hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 35940557 71881114 107821671 143762228 215643342 287524456 323465013 395346127 431286684 575048912 646930026 790692254 862573368 970395039 1150097824 1186038381 1293860052 1581384508 1725146736 1940790078 2300195648 2372076762 2587720104 3162769016 3450293472 3558115143 3881580156 4600391296 4744153524 5175440208 6325538032 6900586944 7116230286 7763160312 9488307048 10350880416 10674345429 12651076064 13801173888 14232460572 15526320624 18976614096 20701760832 21348690858 25302152128 28464921144 31052641248 37953228192 41403521664 42697381716 50604304256 56929842288 62105282496 75906456384 85394763432 113859684576 124210564992 151812912768 170789526864 227719369152 341579053728 455438738304 683158107456 1366316214912