Base | Representation |
---|---|
bin | 11101001001010001111… |
… | …00001000101111010100 |
3 | 10112201211021112220111200 |
4 | 32210220330020233110 |
5 | 112401344020424134 |
6 | 2044013210232500 |
7 | 132230656351311 |
oct | 16445074105724 |
9 | 3481737486450 |
10 | 1001414233044 |
11 | 356774256135 |
12 | 1420b7725730 |
13 | 7358228b824 |
14 | 3667c1c1d08 |
15 | 1b0b09bd499 |
hex | e928f08bd4 |
1001414233044 has 36 divisors (see below), whose sum is σ = 2535564600660. Its totient is φ = 333249321600.
The previous prime is 1001414233037. The next prime is 1001414233069. The reversal of 1001414233044 is 4403324141001.
1001414233044 is a `hidden beast` number, since 10 + 0 + 1 + 414 + 233 + 0 + 4 + 4 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 358755477444 + 642658755600 = 598962^2 + 801660^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×10014142330442 (a number of 25 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1001414232999 and 1001414233017.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23120679 + ... + 23163950.
Almost surely, 21001414233044 is an apocalyptic number.
It is an amenable number.
1001414233044 is an abundant number, since it is smaller than the sum of its proper divisors (1534150367616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001414233044 is a wasteful number, since it uses less digits than its factorization.
1001414233044 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 46285240 (or 46285235 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 1001414233044 its reverse (4403324141001), we get a palindrome (5404738374045).
The spelling of 1001414233044 in words is "one trillion, one billion, four hundred fourteen million, two hundred thirty-three thousand, forty-four".
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