Base | Representation |
---|---|
bin | 1010001110001110110… |
… | …10110001000000100000 |
3 | 1020120121101022210222100 |
4 | 11013013122301000200 |
5 | 21223313414032230 |
6 | 425205002010400 |
7 | 34243002011130 |
oct | 5070732610040 |
9 | 1216541283870 |
10 | 351238033440 |
11 | 125a60793188 |
12 | 580a4aa6a00 |
13 | 2717721b4a8 |
14 | 13000062ac0 |
15 | 920aaa3660 |
hex | 51c76b1020 |
351238033440 has 288 divisors, whose sum is σ = 1370394305280. Its totient is φ = 80249812992.
The previous prime is 351238033439. The next prime is 351238033463. The reversal of 351238033440 is 44330832153.
351238033440 is a `hidden beast` number, since 3 + 51 + 238 + 0 + 334 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×3512380334402 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 351238033395 and 351238033404.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31030662 + ... + 31041978.
It is an arithmetic number, because the mean of its divisors is an integer number (4758313560).
Almost surely, 2351238033440 is an apocalyptic number.
351238033440 is a gapful number since it is divisible by the number (30) 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 351238033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685197152640).
351238033440 is an abundant number, since it is smaller than the sum of its proper divisors (1019156271840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
351238033440 is a wasteful number, since it uses less digits than its factorization.
351238033440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14424 (or 14413 counting only the distinct ones).
The product of its (nonzero) digits is 103680, while the sum is 36.
Adding to 351238033440 its reverse (44330832153), we get a palindrome (395568865593).
The spelling of 351238033440 in words is "three hundred fifty-one billion, two hundred thirty-eight million, thirty-three thousand, four hundred forty".
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