Search a number
-
+
4197120209280 = 273452325713697
BaseRepresentation
bin111101000100110111110…
…110111111000110000000
3112212020111112010212020000
4331010313312333012000
51022231200233144110
612532044100120000
7612142360066605
oct75046766770600
915766445125200
104197120209280
111378a96a37439
1257951b096000
13245a2c60161b
141071dab8a6ac
157429b6d31c0
hex3d137dbf180

4197120209280 has 640 divisors, whose sum is σ = 15702359302080. Its totient is φ = 1066326294528.

The previous prime is 4197120209279. The next prime is 4197120209287. The reversal of 4197120209280 is 829020217914.

4197120209280 is a `hidden beast` number, since 41 + 9 + 7 + 120 + 209 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-4 number, since 4×41971202092804 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4197120209287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 306419392 + ... + 306433088.

Almost surely, 24197120209280 is an apocalyptic number.

4197120209280 is a gapful number since it is divisible by the number (40) 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 4197120209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851179651040).

4197120209280 is an abundant number, since it is smaller than the sum of its proper divisors (11505239092800).

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

4197120209280 is a wasteful number, since it uses less digits than its factorization.

4197120209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14008 (or 13987 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 4197120209280 in words is "four trillion, one hundred ninety-seven billion, one hundred twenty million, two hundred nine thousand, two hundred eighty".