Base | Representation |
---|---|
bin | 100011001000010101111… |
… | …110011111011001110100 |
3 | 22112210022120221002010000 |
4 | 203020111332133121310 |
5 | 304023124410322234 |
6 | 5045012445231300 |
7 | 336262435112613 |
oct | 43102576373164 |
9 | 8483276832100 |
10 | 2414140323444 |
11 | 850916304503 |
12 | 32ba62862530 |
13 | 1468635a2bb5 |
14 | 84bb8a1587a |
15 | 42be5ec6899 |
hex | 23215f9f674 |
2414140323444 has 120 divisors (see below), whose sum is σ = 6383751454080. Its totient is φ = 795491819136.
The previous prime is 2414140323407. The next prime is 2414140323487. The reversal of 2414140323444 is 4443230414142.
2414140323444 is a `hidden beast` number, since 2 + 4 + 1 + 414 + 0 + 3 + 234 + 4 + 4 = 666.
It is a super-2 number, since 2×24141403234442 (a number of 26 digits) contains 22 as substring.
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 = 2414140323399 and 2414140323408.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10378357 + ... + 10608419.
It is an arithmetic number, because the mean of its divisors is an integer number (53197928784).
Almost surely, 22414140323444 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2414140323444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191875727040).
2414140323444 is an abundant number, since it is smaller than the sum of its proper divisors (3969611130636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2414140323444 is a wasteful number, since it uses less digits than its factorization.
2414140323444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 230451 (or 230440 counting only the distinct ones).
The product of its (nonzero) digits is 147456, while the sum is 36.
Adding to 2414140323444 its reverse (4443230414142), we get a palindrome (6857370737586).
The spelling of 2414140323444 in words is "two trillion, four hundred fourteen billion, one hundred forty million, three hundred twenty-three thousand, four hundred forty-four".
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