| Base | Representation |
|---|---|
| bin | 10011010101100010000101… |
| … | …01000010010011101000000 |
| 3 | 12120112222220002120022210000 |
| 4 | 21222301002220102131000 |
| 5 | 21033132102241304000 |
| 6 | 230234002434440000 |
| 7 | 11646030210143400 |
| oct | 1152610250223500 |
| 9 | 176488802508700 |
| 10 | 42521294088000 |
| 11 | 126041a7a91892 |
| 12 | 4928ab3433000 |
| 13 | 1a9598279c570 |
| 14 | a70082296800 |
| 15 | 4db122ebc000 |
| hex | 26ac42a12740 |
42521294088000 has 3360 divisors, whose sum is σ = 203482738787328. Its totient is φ = 8679508992000.
The previous prime is 42521294087999. The next prime is 42521294088001. The reversal of 42521294088000 is 88049212524.
42521294088000 is a `hidden beast` number, since 4 + 2 + 521 + 2 + 9 + 40 + 8 + 80 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (42521294087999) and next prime (42521294088001).
It is a tau number, because it is divible by the number of its divisors (3360).
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 (42521294088001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12796054339 + ... + 12796057661.
Almost surely, 242521294088000 is an apocalyptic number.
42521294088000 is a gapful number since it is divisible by the number (40) 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 42521294088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101741369393664).
42521294088000 is an abundant number, since it is smaller than the sum of its proper divisors (160961444699328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42521294088000 is a wasteful number, since it uses less digits than its factorization.
42521294088000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3420 (or 3384 counting only the distinct ones).
The product of its (nonzero) digits is 368640, while the sum is 45.
The spelling of 42521294088000 in words is "forty-two trillion, five hundred twenty-one billion, two hundred ninety-four million, eighty-eight thousand".
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