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54143234145 = 325711213113967
BaseRepresentation
bin110010011011001100…
…000011000001100001
312011202100001021101100
4302123030003001201
51341341131443040
640512325225013
73624501616410
oct623314030141
9164670037340
1054143234145
1120a64498200
12a5b0562169
13514b261870
142898acb477
15161d4aeb30
hexc9b303061

54143234145 has 288 divisors, whose sum is σ = 128216664576. Its totient is φ = 20565135360.

The previous prime is 54143234129. The next prime is 54143234149.

54143234145 is a `hidden beast` number, since 5 + 414 + 3 + 234 + 1 + 4 + 5 = 666.

54143234145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54143234145 - 24 = 54143234129 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54143234149) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55990452 + ... + 55991418.

It is an arithmetic number, because the mean of its divisors is an integer number (445196752).

Almost surely, 254143234145 is an apocalyptic number.

54143234145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54143234145 is an abundant number, since it is smaller than the sum of its proper divisors (74073430431).

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

54143234145 is a wasteful number, since it uses less digits than its factorization.

54143234145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1119 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 54143234145 in words is "fifty-four billion, one hundred forty-three million, two hundred thirty-four thousand, one hundred forty-five".