| Base | Representation |
|---|---|
| bin | 11110010110000000000… |
| … | …10101001110000000000 |
| 3 | 10200200010212101012020000 |
| 4 | 33023000002221300000 |
| 5 | 114040223111201100 |
| 6 | 2114544330120000 |
| 7 | 135216461555145 |
| oct | 17130002516000 |
| 9 | 3620125335200 |
| 10 | 1042604006400 |
| 11 | 372190865540 |
| 12 | 14a091b80000 |
| 13 | 77417994798 |
| 14 | 386687ba3cc |
| 15 | 1c1c1b70900 |
| hex | f2c00a9c00 |
1042604006400 has 1320 divisors, whose sum is σ = 4313605828224. Its totient is φ = 246642278400.
The previous prime is 1042604006341. The next prime is 1042604006407. The reversal of 1042604006400 is 46004062401.
1042604006400 is a `hidden beast` number, since 10 + 4 + 2 + 6 + 0 + 4 + 0 + 0 + 640 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1320).
It is a super-2 number, since 2×10426040064002 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1042604006407) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 980812269 + ... + 980813331.
Almost surely, 21042604006400 is an apocalyptic number.
1042604006400 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 1042604006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156802914112).
1042604006400 is an abundant number, since it is smaller than the sum of its proper divisors (3271001821824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1042604006400 is a wasteful number, since it uses less digits than its factorization.
1042604006400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1159 (or 1127 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 1042604006400 its reverse (46004062401), we get a palindrome (1088608068801).
The spelling of 1042604006400 in words is "one trillion, forty-two billion, six hundred four million, six thousand, four hundred".
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