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134026281216 = 28322922632
BaseRepresentation
bin111110011010010010…
…1101100000100000000
3110210221112002112010100
41330310211230010000
54143441211444331
6141323144202400
712453203410362
oct1746445540400
9423845075110
10134026281216
1151927383873
1221b85169400
13c83c098659
1466b6100d32
15374657aae6
hex1f3496c100

134026281216 has 243 divisors, whose sum is σ = 401743017949. Its totient is φ = 42970884096.

The previous prime is 134026281209. The next prime is 134026281247. The reversal of 134026281216 is 612182620431.

It is a happy number.

The square root of 134026281216 is 366096.

It is a perfect power (a square), and thus also a powerful number.

134026281216 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 2 + 628 + 1 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70280130816 + 63746150400 = 265104^2 + 252480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 509605501 + ... + 509605763.

Almost surely, 2134026281216 is an apocalyptic number.

134026281216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

134026281216 is the 366096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134026281216

134026281216 is an abundant number, since it is smaller than the sum of its proper divisors (267716736733).

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

134026281216 is an frugal number, since it uses more digits than its factorization.

134026281216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 134026281216 by its sum of digits (36), we get a square (4824946123776 = 21965762).

134026281216 divided by its sum of digits (36) gives a square (3722952256 = 610162).

The spelling of 134026281216 in words is "one hundred thirty-four billion, twenty-six million, two hundred eighty-one thousand, two hundred sixteen".