| Base | Representation |
|---|---|
| bin | 1001101100111001111100… |
| … | …00101010100111111010000 |
| 3 | 2210112112011012001011011100 |
| 4 | 10312130332011110333100 |
| 5 | 10244014311400041222 |
| 6 | 113212434233144400 |
| 7 | 4331224660103520 |
| oct | 466347605247720 |
| 9 | 83475135034140 |
| 10 | 21334144143312 |
| 11 | 688583a209490 |
| 12 | 248684985b100 |
| 13 | bb9a551c2b70 |
| 14 | 53a8143a7680 |
| 15 | 26ee3b62e4ac |
| hex | 13673e154fd0 |
21334144143312 has 480 divisors, whose sum is σ = 81870319964160. Its totient is φ = 5006246446080.
The previous prime is 21334144143227. The next prime is 21334144143329.
21334144143312 is a `hidden beast` number, since 2 + 1 + 334 + 1 + 4 + 4 + 1 + 4 + 3 + 312 = 666.
21334144143312 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×213341441433122 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5200239 + ... + 8349297.
It is an arithmetic number, because the mean of its divisors is an integer number (170563166592).
Almost surely, 221334144143312 is an apocalyptic number.
21334144143312 is a gapful number since it is divisible by the number (22) 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 21334144143312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40935159982080).
21334144143312 is an abundant number, since it is smaller than the sum of its proper divisors (60536175820848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21334144143312 is a wasteful number, since it uses less digits than its factorization.
21334144143312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3149151 (or 3149142 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
It can be divided in two parts, 2133414 and 4143312, that added together give a palindrome (6276726).
The spelling of 21334144143312 in words is "twenty-one trillion, three hundred thirty-four billion, one hundred forty-four million, one hundred forty-three thousand, three hundred twelve".
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