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13970785448448 = 293237213731613
BaseRepresentation
bin1100101101001101001110…
…1101000011001000000000
31211110121001001120222002200
43023103103231003020000
53312344132033322243
645414031253513200
72641233041640633
oct313232355031000
954417031528080
1013970785448448
1144a6a82193704
12169776b942800
137a459351855a
14364292481c1a
1519362b224ad3
hexcb4d3b43200

13970785448448 has 360 divisors, whose sum is σ = 41495724017748. Its totient is φ = 4524958384128.

The previous prime is 13970785448441. The next prime is 13970785448483. The reversal of 13970785448448 is 84484458707931.

13970785448448 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 0 + 78 + 544 + 8 + 4 + 4 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13899534891264 + 71250557184 = 3728208^2 + 266928^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (13970785448441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8661366490 + ... + 8661368102.

Almost surely, 213970785448448 is an apocalyptic number.

13970785448448 is a gapful number since it is divisible by the number (18) 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 13970785448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20747862008874).

13970785448448 is an abundant number, since it is smaller than the sum of its proper divisors (27524938569300).

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

13970785448448 is a wasteful number, since it uses less digits than its factorization.

13970785448448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 13970785448448 in words is "thirteen trillion, nine hundred seventy billion, seven hundred eighty-five million, four hundred forty-eight thousand, four hundred forty-eight".