Base | Representation |
---|---|
bin | 1000011101101000100… |
… | …0011010010111100010 |
3 | 111220021201122001210000 |
4 | 2013122020122113202 |
5 | 4340231222342020 |
6 | 150443132320430 |
7 | 13334662601100 |
oct | 2073210322742 |
9 | 456251561700 |
10 | 145393559010 |
11 | 5672a967927 |
12 | 24218013116 |
13 | 1093111852b |
14 | 7073a98c70 |
15 | 3bae4b8090 |
hex | 21da21a5e2 |
145393559010 has 240 divisors, whose sum is σ = 455402785464. Its totient is φ = 33186972672.
The previous prime is 145393559009. The next prime is 145393559011. The reversal of 145393559010 is 10955393541.
145393559010 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 93 + 559 + 0 + 1 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (145393559009) and next prime (145393559011).
It can be written as a sum of positive squares in 4 ways, for example, as 145323351369 + 70207641 = 381213^2 + 8379^2 .
It is a super-2 number, since 2×1453935590102 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (145393559011) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34806042 + ... + 34810218.
Almost surely, 2145393559010 is an apocalyptic number.
145393559010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 145393559010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227701392732).
145393559010 is an abundant number, since it is smaller than the sum of its proper divisors (310009226454).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145393559010 is a wasteful number, since it uses less digits than its factorization.
145393559010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5087 (or 5071 counting only the distinct ones).
The product of its (nonzero) digits is 364500, while the sum is 45.
The spelling of 145393559010 in words is "one hundred forty-five billion, three hundred ninety-three million, five hundred fifty-nine thousand, ten".
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