Base | Representation |
---|---|
bin | 10001110011010011101… |
… | …100101010011111110000 |
3 | 11022221121102221110010000 |
4 | 101303103230222133300 |
5 | 130020331014204130 |
6 | 2333553032510000 |
7 | 154245032641230 |
oct | 21632354523760 |
9 | 4287542843100 |
10 | 1223322413040 |
11 | 431898679212 |
12 | 17910824b300 |
13 | 8b4883c1500 |
14 | 432cdb81cc0 |
15 | 21c4c485260 |
hex | 11cd3b2a7f0 |
1223322413040 has 2400 divisors, whose sum is σ = 5709365291520. Its totient is φ = 236866166784.
The previous prime is 1223322413017. The next prime is 1223322413041. The reversal of 1223322413040 is 403142233221.
1223322413040 is a `hidden beast` number, since 1 + 2 + 2 + 332 + 24 + 1 + 304 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 1223322412995 and 1223322413013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1223322413041) by changing a digit.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5389085407 + ... + 5389085633.
Almost surely, 21223322413040 is an apocalyptic number.
1223322413040 is a gapful number since it is divisible by the number (10) 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 1223322413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854682645760).
1223322413040 is an abundant number, since it is smaller than the sum of its proper divisors (4486042878480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223322413040 is a wasteful number, since it uses less digits than its factorization.
1223322413040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 341 (or 313 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
Adding to 1223322413040 its reverse (403142233221), we get a palindrome (1626464646261).
The spelling of 1223322413040 in words is "one trillion, two hundred twenty-three billion, three hundred twenty-two million, four hundred thirteen thousand, forty".
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