Search a number
-
+
130429425420 = 223457313111193
BaseRepresentation
bin111100101111000110…
…0110001011100001100
3110110122211222022120000
41321132030301130030
54114104413103140
6135530215124300
712265106552340
oct1713614613414
9413584868500
10130429425420
1150351012878
1221340673690
13c3b7b49708
14645452d620
1535d58daa30
hex1e5e33170c

130429425420 has 480 divisors, whose sum is σ = 484655947776. Its totient is φ = 28733875200.

The previous prime is 130429425407. The next prime is 130429425421. The reversal of 130429425420 is 24524924031.

It is a happy number.

130429425420 is a `hidden beast` number, since 1 + 30 + 42 + 9 + 42 + 542 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130429425421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 109328344 + ... + 109329536.

Almost surely, 2130429425420 is an apocalyptic number.

130429425420 is a gapful number since it is divisible by the number (10) 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 130429425420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242327973888).

130429425420 is an abundant number, since it is smaller than the sum of its proper divisors (354226522356).

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

130429425420 is a wasteful number, since it uses less digits than its factorization.

130429425420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 130429425420 in words is "one hundred thirty billion, four hundred twenty-nine million, four hundred twenty-five thousand, four hundred twenty".