Search a number
-
+
297013934131200 = 2113252111359241317
BaseRepresentation
bin100001110001000011111001…
…0000010011000100000000000
31102221122020212202012111222100
41003202013302002120200000
5302412234014114144300
62531410152341310400
7116363356112412126
oct10342076202304000
91387566782174870
10297013934131200
11867019a1752860
122938b359705400
13c9963a8660780
14534b7a038b916
15245103258b700
hex10e21f2098800

297013934131200 has 3456 divisors, whose sum is σ = 1280153271196800. Its totient is φ = 64861765632000.

The previous prime is 297013934131177. The next prime is 297013934131261. The reversal of 297013934131200 is 2131439310792.

297013934131200 is a `hidden beast` number, since 2 + 9 + 70 + 1 + 3 + 9 + 341 + 31 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 936952473442 + ... + 936952473758.

It is an arithmetic number, because the mean of its divisors is an integer number (370414719675).

Almost surely, 2297013934131200 is an apocalyptic number.

297013934131200 is a gapful number since it is divisible by the number (20) 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 297013934131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640076635598400).

297013934131200 is an abundant number, since it is smaller than the sum of its proper divisors (983139337065600).

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

297013934131200 is a wasteful number, since it uses less digits than its factorization.

297013934131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 297013934131200 in words is "two hundred ninety-seven trillion, thirteen billion, nine hundred thirty-four million, one hundred thirty-one thousand, two hundred".