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54144442050660 = 223451331101821131
BaseRepresentation
bin11000100111110011111000…
…01111000010100001100100
321002201011021021001101210000
430103321330033002201210
524044100304131110120
6311053340245501300
714255543514540453
oct1423717417024144
9232634237041700
1054144442050660
111628558aaa4245
1260a5680111830
132429a50477730
14d528680b8b9a
1563d64b7ce990
hex313e7c3c2864

54144442050660 has 480 divisors, whose sum is σ = 190689080085504. Its totient is φ = 12770213760000.

The previous prime is 54144442050659. The next prime is 54144442050763. The reversal of 54144442050660 is 6605024444145.

54144442050660 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 44 + 42 + 0 + 506 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 65528295 + ... + 66349425.

Almost surely, 254144442050660 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 54144442050660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95344540042752).

54144442050660 is an abundant number, since it is smaller than the sum of its proper divisors (136544638034844).

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

54144442050660 is a wasteful number, since it uses less digits than its factorization.

54144442050660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821297 (or 821286 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 54144442050660 in words is "fifty-four trillion, one hundred forty-four billion, four hundred forty-two million, fifty thousand, six hundred sixty".