Search a number
-
+
130420444403304 = 2333112311131424513
BaseRepresentation
bin11101101001110111100000…
…010000101001011001101000
3122002210001222000022221202000
4131221313200100221121220
5114043302032231401204
61141214154112411000
736320365123156026
oct3551674020513150
9562701860287660
10130420444403304
1138612aaa8a2400
1212764432b46a60
1357a0797688593
14242c551689716
151012805c43039
hex769de0429668

130420444403304 has 384 divisors, whose sum is σ = 414690840345600. Its totient is φ = 37907973734400.

The previous prime is 130420444403257. The next prime is 130420444403321. The reversal of 130420444403304 is 403304444024031.

130420444403304 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 204 + 4 + 440 + 3 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×1304204444033042 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90842152 + ... + 92266664.

It is an arithmetic number, because the mean of its divisors is an integer number (1079924063400).

Almost surely, 2130420444403304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130420444403304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207345420172800).

130420444403304 is an abundant number, since it is smaller than the sum of its proper divisors (284270395942296).

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

130420444403304 is a wasteful number, since it uses less digits than its factorization.

130420444403304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424694 (or 1424673 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 130420444403304 its reverse (403304444024031), we get a palindrome (533724888427335).

The spelling of 130420444403304 in words is "one hundred thirty trillion, four hundred twenty billion, four hundred forty-four million, four hundred three thousand, three hundred four".