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54131141440 = 265169159817
BaseRepresentation
bin110010011010011101…
…111010101101000000
312011201111021220022101
4302122131322231000
51341330033011230
640511214120144
73624264052615
oct623235725500
9164644256271
1054131141440
1120a58688832
12a5a84b0054
1351488b960c
14289726050c
15161c3c1aca
hexc9a77ab40

54131141440 has 28 divisors (see below), whose sum is σ = 128899781316. Its totient is φ = 21652456448.

The previous prime is 54131141431. The next prime is 54131141501. The reversal of 54131141440 is 4414113145.

54131141440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39270556224 + 14860585216 = 198168^2 + 121904^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54131141399 and 54131141408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84579589 + ... + 84580228.

Almost surely, 254131141440 is an apocalyptic number.

It is an amenable number.

54131141440 is an abundant number, since it is smaller than the sum of its proper divisors (74768639876).

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

54131141440 is a wasteful number, since it uses less digits than its factorization.

54131141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169159834 (or 169159824 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 54131141440 its reverse (4414113145), we get a palindrome (58545254585).

The spelling of 54131141440 in words is "fifty-four billion, one hundred thirty-one million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 169159817 338319634 676639268 845799085 1353278536 1691598170 2706557072 3383196340 5413114144 6766392680 10826228288 13532785360 27065570720 54131141440