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54010801031040 = 2732571657808421
BaseRepresentation
bin11000100011111010111101…
…00111000000011110000000
321002020101022120220012012200
430101331132213000132000
524034403110030443130
6310512115222553200
714243102666605530
oct1421753647003600
9232211276805180
1054010801031040
111623394113a197
1260837a3b98800
13241a273160129
14d4a1cb2234c0
15639e28ea5760
hex311f5e9c0780

54010801031040 has 384 divisors, whose sum is σ = 213278668125120. Its totient is φ = 12337860280320.

The previous prime is 54010801030997. The next prime is 54010801031059. The reversal of 54010801031040 is 4013010801045.

It is a happy number.

54010801031040 is a `hidden beast` number, since 540 + 1 + 0 + 8 + 0 + 10 + 3 + 104 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54010801030995 and 54010801031013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66406030 + ... + 67214450.

Almost surely, 254010801031040 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 54010801031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106639334062560).

54010801031040 is an abundant number, since it is smaller than the sum of its proper divisors (159267867094080).

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

54010801031040 is a wasteful number, since it uses less digits than its factorization.

54010801031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810110 (or 810095 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 54010801031040 its reverse (4013010801045), we get a palindrome (58023811832085).

The spelling of 54010801031040 in words is "fifty-four trillion, ten billion, eight hundred one million, thirty-one thousand, forty".