Base | Representation |
---|---|
bin | 111100111110100… |
… | …101101010010000 |
3 | 2122022000211020201 |
4 | 330332211222100 |
5 | 4043344241034 |
6 | 245303144544 |
7 | 34231461220 |
oct | 7476455220 |
9 | 2568024221 |
10 | 1023040144 |
11 | 485530225 |
12 | 246745154 |
13 | 133c462c9 |
14 | 99c28080 |
15 | 5ec33014 |
hex | 3cfa5a90 |
1023040144 has 80 divisors (see below), whose sum is σ = 2405310336. Its totient is φ = 411494400.
The previous prime is 1023040129. The next prime is 1023040147. The reversal of 1023040144 is 4410403201.
It is a super-2 number, since 2×10230401442 = 2093222272471081472, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1023040147) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086714 + ... + 1087654.
Almost surely, 21023040144 is an apocalyptic number.
1023040144 is a gapful number since it is divisible by the number (14) 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 1023040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202655168).
1023040144 is an abundant number, since it is smaller than the sum of its proper divisors (1382270192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023040144 is a wasteful number, since it uses less digits than its factorization.
1023040144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1544 (or 1538 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
The square root of 1023040144 is about 31984.9987337814. The cubic root of 1023040144 is about 1007.6218084474.
Adding to 1023040144 its reverse (4410403201), we get a palindrome (5433443345).
The spelling of 1023040144 in words is "one billion, twenty-three million, forty thousand, one hundred forty-four".
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