Base | Representation |
---|---|
bin | 101001000111110010… |
… | …010100001011011000 |
3 | 11012222011121220011100 |
4 | 221013302110023120 |
5 | 1210411413421034 |
6 | 32141210231400 |
7 | 3122115122406 |
oct | 510762241330 |
9 | 135864556140 |
10 | 44154045144 |
11 | 177a8897700 |
12 | 8683125560 |
13 | 421888b141 |
14 | 21cc180476 |
15 | 123653a099 |
hex | a47c942d8 |
44154045144 has 144 divisors (see below), whose sum is σ = 131562030600. Its totient is φ = 13367946240.
The previous prime is 44154045119. The next prime is 44154045151.
44154045144 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 44154045099 and 44154045108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16455627 + ... + 16458309.
Almost surely, 244154045144 is an apocalyptic number.
44154045144 is a gapful number since it is divisible by the number (44) 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 44154045144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65781015300).
44154045144 is an abundant number, since it is smaller than the sum of its proper divisors (87407985456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44154045144 is a wasteful number, since it uses less digits than its factorization.
44154045144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4606 (or 4588 counting only the distinct ones).
The product of its (nonzero) digits is 102400, while the sum is 36.
It can be divided in two parts, 441540 and 45144, that added together give a palindrome (486684).
The spelling of 44154045144 in words is "forty-four billion, one hundred fifty-four million, forty-five thousand, one hundred forty-four".
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