Search a number
-
+
54251054152240 = 245112234715493347
BaseRepresentation
bin11000101010111010011101…
…10011111011101000110000
321010002100110020112022012211
430111131032303323220300
524102322124330332430
6311214331253101504
714266336460465161
oct1425351663735060
9233070406468184
1054251054152240
1116316819824100
126102274327894
132436b10ac7aca
14d57a9d361768
156412db26072a
hex31574ecfba30

54251054152240 has 480 divisors, whose sum is σ = 147888434534400. Its totient is φ = 18451006801920.

The previous prime is 54251054152201. The next prime is 54251054152283. The reversal of 54251054152240 is 4225145015245.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 54251054152193 and 54251054152202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16208858247 + ... + 16208861593.

It is an arithmetic number, because the mean of its divisors is an integer number (308100905280).

Almost surely, 254251054152240 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 54251054152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73944217267200).

54251054152240 is an abundant number, since it is smaller than the sum of its proper divisors (93637380382160).

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

54251054152240 is a wasteful number, since it uses less digits than its factorization.

54251054152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 40.

Adding to 54251054152240 its reverse (4225145015245), we get a palindrome (58476199167485).

The spelling of 54251054152240 in words is "fifty-four trillion, two hundred fifty-one billion, fifty-four million, one hundred fifty-two thousand, two hundred forty".