| Base | Representation |
|---|---|
| bin | 11111001010111010100… |
| … | …010011100011100000000 |
| 3 | 21120202221021202021100000 |
| 4 | 133022322202130130000 |
| 5 | 240043330431224320 |
| 6 | 4320010521200000 |
| 7 | 310520222451450 |
| oct | 37127242343400 |
| 9 | 7522837667300 |
| 10 | 2142023304960 |
| 11 | 756477349990 |
| 12 | 2a717b330000 |
| 13 | 126cb8370226 |
| 14 | 75962ac1d60 |
| 15 | 3aabb666c90 |
| hex | 1f2ba89c700 |
2142023304960 has 1728 divisors, whose sum is σ = 10147711601664. Its totient is φ = 418834022400.
The previous prime is 2142023304947. The next prime is 2142023304961. The reversal of 2142023304960 is 694033202412.
2142023304960 is a `hidden beast` number, since 2 + 142 + 0 + 23 + 3 + 0 + 496 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1728).
It is a super-2 number, since 2×21420233049602 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2142023304961) 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 191 ways as a sum of consecutive naturals, for example, 407148730 + ... + 407153990.
It is an arithmetic number, because the mean of its divisors is an integer number (5872518288).
Almost surely, 22142023304960 is an apocalyptic number.
2142023304960 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 2142023304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073855800832).
2142023304960 is an abundant number, since it is smaller than the sum of its proper divisors (8005688296704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2142023304960 is a wasteful number, since it uses less digits than its factorization.
2142023304960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5332 (or 5306 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The spelling of 2142023304960 in words is "two trillion, one hundred forty-two billion, twenty-three million, three hundred four thousand, nine hundred sixty".
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