| Base | Representation |
|---|---|
| bin | 1011101010111110100… |
| … | …11011100110101100100 |
| 3 | 1102100010112101011012100 |
| 4 | 11311133103130311210 |
| 5 | 23032302402033100 |
| 6 | 504121523452100 |
| 7 | 40654630226451 |
| oct | 5653723346544 |
| 9 | 1370115334170 |
| 10 | 401030892900 |
| 11 | 145092536500 |
| 12 | 65880527030 |
| 13 | 2ba810a3a41 |
| 14 | 155a5072828 |
| 15 | a67217d400 |
| hex | 5d5f4dcd64 |
401030892900 has 729 divisors, whose sum is σ = 1472798735499. Its totient is φ = 91190880000.
The previous prime is 401030892893. The next prime is 401030892907. The reversal of 401030892900 is 9298030104.
The square root of 401030892900 is 633270.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (401030892893) and next prime (401030892907).
It can be written as a sum of positive squares in 4 ways, for example, as 74048205924 + 326982686976 = 272118^2 + 571824^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (401030892907) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3970602850 + ... + 3970602950.
Almost surely, 2401030892900 is an apocalyptic number.
401030892900 is the 633270-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 401030892900
401030892900 is an abundant number, since it is smaller than the sum of its proper divisors (1071767842599).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401030892900 is a wasteful number, since it uses less digits than its factorization.
401030892900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 282 (or 141 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 36.
Multiplying 401030892900 by its sum of digits (36), we get a square (14437112144400 = 37996202).
401030892900 divided by its sum of digits (36) gives a square (11139747025 = 1055452).
The spelling of 401030892900 in words is "four hundred one billion, thirty million, eight hundred ninety-two thousand, nine hundred".
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