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30410340000 = 253545373131
BaseRepresentation
bin11100010100100110…
…001111011010100000
32220111100102100000220
4130110212033122200
5444240021340000
621545331043040
72124411424245
oct342446173240
986440370026
1030410340000
11119959315a7
125a88440480
132b383b6c31
141686b415cc
15bceb811a0
hex71498f6a0

30410340000 has 480 divisors, whose sum is σ = 103812819264. Its totient is φ = 7787520000.

The previous prime is 30410339951. The next prime is 30410340001. The reversal of 30410340000 is 4301403.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (30410340001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 232139935 + ... + 232140065.

Almost surely, 230410340000 is an apocalyptic number.

30410340000 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 30410340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51906409632).

30410340000 is an abundant number, since it is smaller than the sum of its proper divisors (73402479264).

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

30410340000 is a wasteful number, since it uses less digits than its factorization.

30410340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 30410340000 its reverse (4301403), we get a palindrome (30414641403).

The spelling of 30410340000 in words is "thirty billion, four hundred ten million, three hundred forty thousand".