Search a number
-
+
2404249449030 = 23351113101361471
BaseRepresentation
bin100010111111001000011…
…011110011001001000110
322111211210021111121011000
4202333020123303021012
5303342400324332110
65040255201354130
7335462354061222
oct42771033631106
98454707447130
102404249449030
11847700154130
12329b62338946
131459483a2aa0
148451b17b782
15428179c21c0
hex22fc86f3246

2404249449030 has 256 divisors, whose sum is σ = 7539752263680. Its totient is φ = 537474009600.

The previous prime is 2404249449013. The next prime is 2404249449031. The reversal of 2404249449030 is 309449424042.

2404249449030 is a `hidden beast` number, since 2 + 4 + 0 + 42 + 4 + 94 + 490 + 30 = 666.

2404249449030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24042494490302 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404249449031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39081195 + ... + 39142665.

It is an arithmetic number, because the mean of its divisors is an integer number (29452157280).

Almost surely, 22404249449030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404249449030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769876131840).

2404249449030 is an abundant number, since it is smaller than the sum of its proper divisors (5135502814650).

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

2404249449030 is a wasteful number, since it uses less digits than its factorization.

2404249449030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62524 (or 62518 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2404249449030 in words is "two trillion, four hundred four billion, two hundred forty-nine million, four hundred forty-nine thousand, thirty".