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335345040030 = 2357111329385069
BaseRepresentation
bin1001110000101000001…
…11110011101010011110
31012001120202212002121210
410320110013303222132
520443241312240110
6414015544005250
733141106544310
oct4702407635236
91161522762553
10335345040030
1111a245594a90
1254baa460826
132581368cc90
14123333c77b0
158aca698520
hex4e141f3a9e

335345040030 has 256 divisors, whose sum is σ = 1117873612800. Its totient is φ = 62103767040.

The previous prime is 335345040029. The next prime is 335345040049. The reversal of 335345040030 is 30040543533.

335345040030 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3353450400302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 335345040030.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 678336 + ... + 1063404.

It is an arithmetic number, because the mean of its divisors is an integer number (4366693800).

Almost surely, 2335345040030 is an apocalyptic number.

335345040030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 335345040030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558936806400).

335345040030 is an abundant number, since it is smaller than the sum of its proper divisors (782528572770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

335345040030 is a wasteful number, since it uses less digits than its factorization.

335345040030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385139.

The product of its (nonzero) digits is 32400, while the sum is 30.

Adding to 335345040030 its reverse (30040543533), we get a palindrome (365385583563).

The spelling of 335345040030 in words is "three hundred thirty-five billion, three hundred forty-five million, forty thousand, thirty".