Base | Representation |
---|---|
bin | 100100101000101010011011… |
… | …101100000000000000000000 |
3 | 210010111022020122111120200000 |
4 | 210220222123230000000000 |
5 | 132104323440334114320 |
6 | 1330403203430400000 |
7 | 45636553204314300 |
oct | 4450523354000000 |
9 | 703438218446600 |
10 | 161124015144960 |
11 | 4738034706710a |
12 | 160a2ab6800000 |
13 | 6bb9c10c6c33a |
14 | 2bb0630271600 |
15 | 1396313306c90 |
hex | 928a9bb00000 |
161124015144960 has 3024 divisors, whose sum is σ = 704889360957600. Its totient is φ = 35158870720512.
The previous prime is 161124015144949. The next prime is 161124015144971. The reversal of 161124015144960 is 69441510421161.
161124015144960 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 2 + 4 + 0 + 151 + 4 + 496 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (161124015144949) and next prime (161124015144971).
It is a tau number, because it is divible by the number of its divisors (3024).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
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 143 ways as a sum of consecutive naturals, for example, 1810382192596 + ... + 1810382192684.
It is an arithmetic number, because the mean of its divisors is an integer number (233098333650).
Almost surely, 2161124015144960 is an apocalyptic number.
161124015144960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 161124015144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352444680478800).
161124015144960 is an abundant number, since it is smaller than the sum of its proper divisors (543765345812640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
161124015144960 is an frugal number, since it uses more digits than its factorization.
161124015144960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 192 (or 135 counting only the distinct ones).
The product of its (nonzero) digits is 207360, while the sum is 45.
The spelling of 161124015144960 in words is "one hundred sixty-one trillion, one hundred twenty-four billion, fifteen million, one hundred forty-four thousand, nine hundred sixty".
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