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54334113130440 = 2332511131955549537
BaseRepresentation
bin11000101101010101001011…
…00000110010011111001000
321010101021211202122120102200
430112222211200302133020
524110202230430133230
6311320425203200200
714305336655242443
oct1426524540623710
9233337752576380
1054334113130440
1116348a71413840
126116394676060
1324418b98c3ca0
14d5badc49665a
1564354d073160
hex316aa58327c8

54334113130440 has 384 divisors, whose sum is σ = 218376343785600. Its totient is φ = 11518751784960.

The previous prime is 54334113130343. The next prime is 54334113130457. The reversal of 54334113130440 is 4403131143345.

54334113130440 is a `hidden beast` number, since 5 + 4 + 3 + 341 + 1 + 3 + 1 + 304 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54334113130395 and 54334113130404.

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, 26796649 + ... + 28752888.

It is an arithmetic number, because the mean of its divisors is an integer number (568688395275).

Almost surely, 254334113130440 is an apocalyptic number.

It is an amenable number.

54334113130440 is an abundant number, since it is smaller than the sum of its proper divisors (164042230655160).

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

54334113130440 is a wasteful number, since it uses less digits than its factorization.

54334113130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55549597 (or 55549590 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 54334113130440 its reverse (4403131143345), we get a palindrome (58737244273785).

The spelling of 54334113130440 in words is "fifty-four trillion, three hundred thirty-four billion, one hundred thirteen million, one hundred thirty thousand, four hundred forty".