Base | Representation |
---|---|
bin | 1010011101011101010101… |
… | …00011111100100110000000 |
3 | 10000110000020121020121111220 |
4 | 11032232222203330212000 |
5 | 11003332414310420112 |
6 | 120531054550435040 |
7 | 4562604125015052 |
oct | 516565243744600 |
9 | 100400217217456 |
10 | 23002411420032 |
11 | 73692a4636330 |
12 | 26b6031062a80 |
13 | cab16c59a5a5 |
14 | 5974735078d2 |
15 | 29d52b15998c |
hex | 14ebaa8fc980 |
23002411420032 has 128 divisors (see below), whose sum is σ = 68456194156800. Its totient is φ = 6782037719040.
The previous prime is 23002411419997. The next prime is 23002411420049.
It is a happy number.
23002411420032 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×230024114200322 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 23002411419984 and 23002411420011.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73433532 + ... + 73746107.
It is an arithmetic number, because the mean of its divisors is an integer number (534814016850).
Almost surely, 223002411420032 is an apocalyptic number.
23002411420032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
23002411420032 is an abundant number, since it is smaller than the sum of its proper divisors (45453782736768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23002411420032 is a wasteful number, since it uses less digits than its factorization.
23002411420032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 147179704 (or 147179692 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
It can be divided in two parts, 2300241 and 1420032, that added together give a palindrome (3720273).
The spelling of 23002411420032 in words is "twenty-three trillion, two billion, four hundred eleven million, four hundred twenty thousand, thirty-two".
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