Search a number
-
+
57240361221120 = 21033571123377189
BaseRepresentation
bin11010000001111010011110…
…11001011011110000000000
321111200010101012011101202000
431000331033121123300000
530000311224433033440
6321423505310024000
715025323340360050
oct1500751731336000
9244603335141660
1057240361221120
1117269556724420
1265056951a8000
1325c298720481c
14101c63c07b560
15693e46d6d730
hex340f4f65bc00

57240361221120 has 5632 divisors, whose sum is σ = 278721301708800. Its totient is φ = 10790948044800.

The previous prime is 57240361221119. The next prime is 57240361221137. The reversal of 57240361221120 is 2112216304275.

57240361221120 is a `hidden beast` number, since 5 + 7 + 2 + 4 + 0 + 3 + 612 + 2 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5632).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 643150126036 + ... + 643150126124.

Almost surely, 257240361221120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57240361221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139360650854400).

57240361221120 is an abundant number, since it is smaller than the sum of its proper divisors (221480940487680).

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

57240361221120 is a wasteful number, since it uses less digits than its factorization.

57240361221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 57240361221120 its reverse (2112216304275), we get a palindrome (59352577525395).

The spelling of 57240361221120 in words is "fifty-seven trillion, two hundred forty billion, three hundred sixty-one million, two hundred twenty-one thousand, one hundred twenty".