| Base | Representation |
|---|---|
| bin | 1000110100001100110… |
| … | …1000001110010000000 |
| 3 | 112110220220102102120001 |
| 4 | 2031003031001302000 |
| 5 | 4440133021002000 |
| 6 | 153324211525344 |
| 7 | 13641051116605 |
| oct | 2150315016200 |
| 9 | 473826372501 |
| 10 | 151451344000 |
| 11 | 59259376400 |
| 12 | 254288b9854 |
| 13 | 11388166ca8 |
| 14 | 748a42a6ac |
| 15 | 3e1621746a |
| hex | 2343341c80 |
151451344000 has 192 divisors, whose sum is σ = 413894590200. Its totient is φ = 55072512000.
The previous prime is 151451343961. The next prime is 151451344003. The reversal of 151451344000 is 443154151.
151451344000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 63033132096 + 88418211904 = 251064^2 + 297352^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 151451344000.
It is not an unprimeable number, because it can be changed into a prime (151451344003) 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 23 ways as a sum of consecutive naturals, for example, 1896886 + ... + 1975114.
Almost surely, 2151451344000 is an apocalyptic number.
151451344000 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 151451344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206947295100).
151451344000 is an abundant number, since it is smaller than the sum of its proper divisors (262443246200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
151451344000 is an equidigital number, since it uses as much as digits as its factorization.
151451344000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 78280 (or 78247 counting only the distinct ones).
The product of its (nonzero) digits is 4800, while the sum is 28.
Adding to 151451344000 its reverse (443154151), we get a palindrome (151894498151).
The spelling of 151451344000 in words is "one hundred fifty-one billion, four hundred fifty-one million, three hundred forty-four thousand".
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