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1397060140896 = 2532717392310391
BaseRepresentation
bin10100010101000111010…
…001011111111101100000
311221120001112010110221100
4110111013101133331200
5140342134344002041
62545444531154400
7202635311156160
oct24250721377540
94846045113840
101397060140896
11499543034672
121a6914745a00
13a198581b784
144b891dba5a0
1526519eea6b6
hex1454745ff60

1397060140896 has 288 divisors, whose sum is σ = 4809218738688. Its totient is φ = 375548129280.

The previous prime is 1397060140891. The next prime is 1397060140933. The reversal of 1397060140896 is 6980410607931.

1397060140896 is a `hidden beast` number, since 1 + 3 + 97 + 0 + 60 + 1 + 408 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1397060140891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134443861 + ... + 134454251.

It is an arithmetic number, because the mean of its divisors is an integer number (16698676176).

Almost surely, 21397060140896 is an apocalyptic number.

1397060140896 is a gapful number since it is divisible by the number (16) 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 1397060140896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404609369344).

1397060140896 is an abundant number, since it is smaller than the sum of its proper divisors (3412158597792).

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

1397060140896 is a wasteful number, since it uses less digits than its factorization.

1397060140896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14354 (or 14343 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1397060140896 in words is "one trillion, three hundred ninety-seven billion, sixty million, one hundred forty thousand, eight hundred ninety-six".