Search a number
-
+
53214425440 = 2551121729511
BaseRepresentation
bin110001100011110100…
…111011000101100000
312002100121022220100221
4301203310323011200
51332440343103230
640240225452424
73562463103331
oct614364730540
9162317286327
1053214425440
1120628179500
12a3914a1114
1350309bc507
14280b5d2288
1515b6b9227a
hexc63d3b160

53214425440 has 216 divisors, whose sum is σ = 146809330416. Its totient is φ = 18210508800.

The previous prime is 53214425393. The next prime is 53214425441. The reversal of 53214425440 is 4452441235.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 53214425396 and 53214425405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53214425441) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5590285 + ... + 5599795.

It is an arithmetic number, because the mean of its divisors is an integer number (679672826).

Almost surely, 253214425440 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 53214425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73404665208).

53214425440 is an abundant number, since it is smaller than the sum of its proper divisors (93594904976).

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

53214425440 is a wasteful number, since it uses less digits than its factorization.

53214425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9582 (or 9546 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 53214425440 its reverse (4452441235), we get a palindrome (57666866675).

The spelling of 53214425440 in words is "fifty-three billion, two hundred fourteen million, four hundred twenty-five thousand, four hundred forty".