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30404414040 = 233571113376841
BaseRepresentation
bin11100010100001111…
…101000101001011000
32220110221021021010220
4130110033220221120
5444232012222130
621545000040040
72124310153350
oct342417505130
986427237126
1030404414040
1111992554310
125a86463020
132b370c0850
14168603bb60
15bce3b0410
hex7143e8a58

30404414040 has 512 divisors, whose sum is σ = 125796464640. Its totient is φ = 5673369600.

The previous prime is 30404413987. The next prime is 30404414119. The reversal of 30404414040 is 4041440403.

Adding to 30404414040 its reverse (4041440403), we get a palindrome (34445854443).

It can be divided in two parts, 30404 and 414040, that added together give a palindrome (444444).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30404414040.

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, 4441020 + ... + 4447860.

It is an arithmetic number, because the mean of its divisors is an integer number (245696220).

Almost surely, 230404414040 is an apocalyptic number.

30404414040 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 30404414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62898232320).

30404414040 is an abundant number, since it is smaller than the sum of its proper divisors (95392050600).

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

30404414040 is a wasteful number, since it uses less digits than its factorization.

30404414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6923 (or 6919 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The spelling of 30404414040 in words is "thirty billion, four hundred four million, four hundred fourteen thousand, forty".