Search a number
-
+
4212130124160 = 273257439237967
BaseRepresentation
bin111101010010110110100…
…001010001000110000000
3112220200020120221112120100
4331102312201101012000
51023002420302433120
612543005330442400
7613213340212440
oct75226641210600
915820216845510
104212130124160
111384399710672
12580409a33400
1324728220c56a
14107c22432120
1574879305490
hex3d4b6851180

4212130124160 has 384 divisors, whose sum is σ = 16660805990400. Its totient is φ = 960575459328.

The previous prime is 4212130124149. The next prime is 4212130124197. The reversal of 4212130124160 is 614210312124.

4212130124160 is a `hidden beast` number, since 4 + 21 + 213 + 0 + 12 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×42121301241602 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17581497 + ... + 17819463.

It is an arithmetic number, because the mean of its divisors is an integer number (43387515600).

Almost surely, 24212130124160 is an apocalyptic number.

4212130124160 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 4212130124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8330402995200).

4212130124160 is an abundant number, since it is smaller than the sum of its proper divisors (12448675866240).

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

4212130124160 is a wasteful number, since it uses less digits than its factorization.

4212130124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238438 (or 238423 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4212130124160 its reverse (614210312124), we get a palindrome (4826340436284).

The spelling of 4212130124160 in words is "four trillion, two hundred twelve billion, one hundred thirty million, one hundred twenty-four thousand, one hundred sixty".