| Base | Representation |
|---|---|
| bin | 1001101100111010011110… |
| … | …00110100001110000000000 |
| 3 | 2210112112220002022102200200 |
| 4 | 10312131033012201300000 |
| 5 | 10244020402443423100 |
| 6 | 113212522433045200 |
| 7 | 4331235025044150 |
| oct | 466351706416000 |
| 9 | 83475802272620 |
| 10 | 21334429670400 |
| 11 | 68859763a8190 |
| 12 | 24869093b6800 |
| 13 | bb9a9c3c41c2 |
| 14 | 53a840290760 |
| 15 | 26ee5672ee00 |
| hex | 13674f1a1c00 |
21334429670400 has 3168 divisors, whose sum is σ = 101814772580352. Its totient is φ = 4132071014400.
The previous prime is 21334429670381. The next prime is 21334429670401. The reversal of 21334429670400 is 407692443312.
21334429670400 is a `hidden beast` number, since 2 + 13 + 3 + 442 + 96 + 70 + 40 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3168).
It is a super-2 number, since 2×213344296704002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21334429670401) by changing a digit.
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 287 ways as a sum of consecutive naturals, for example, 38302386922 + ... + 38302387478.
Almost surely, 221334429670400 is an apocalyptic number.
21334429670400 is a gapful number since it is divisible by the number (20) 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 21334429670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50907386290176).
21334429670400 is an abundant number, since it is smaller than the sum of its proper divisors (80480342909952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21334429670400 is a wasteful number, since it uses less digits than its factorization.
21334429670400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 755 (or 729 counting only the distinct ones).
The product of its (nonzero) digits is 870912, while the sum is 45.
The spelling of 21334429670400 in words is "twenty-one trillion, three hundred thirty-four billion, four hundred twenty-nine million, six hundred seventy thousand, four hundred".
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