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130055439424 = 266127392
BaseRepresentation
bin111100100011111101…
…0001000010001000000
3110102200210020212012211
41321013322020101000
54112323143030144
6135425135231504
712252615665221
oct1710772102100
9412623225184
10130055439424
11501799a5639
1221257378594
13c358515a21
14641a9bb248
1535b2b65034
hex1e47e88440

130055439424 has 63 divisors (see below), whose sum is σ = 262734445701. Its totient is φ = 63875139840.

The previous prime is 130055439419. The next prime is 130055439433. The reversal of 130055439424 is 424934550031.

The square root of 130055439424 is 360632.

It is a perfect power (a square), and thus also a powerful number.

130055439424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4229161024 + 125826278400 = 65032^2 + 354720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 175988047 + ... + 175988785.

It is an arithmetic number, because the mean of its divisors is an integer number (4170388027).

Almost surely, 2130055439424 is an apocalyptic number.

130055439424 is the 360632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130055439424

130055439424 is an abundant number, since it is smaller than the sum of its proper divisors (132679006277).

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

130055439424 is an frugal number, since it uses more digits than its factorization.

130055439424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

Adding to 130055439424 its reverse (424934550031), we get a palindrome (554989989455).

The spelling of 130055439424 in words is "one hundred thirty billion, fifty-five million, four hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 739 976 1478 1952 2956 3721 3904 5912 7442 11824 14884 23648 29768 45079 47296 59536 90158 119072 180316 238144 360632 546121 721264 1092242 1442528 2184484 2749819 2885056 4368968 5499638 8737936 10999276 17475872 21998552 33313381 34951744 43997104 66626762 87994208 133253524 175988416 266507048 533014096 1066028192 2032116241 2132056384 4064232482 8128464964 16256929928 32513859856 65027719712 130055439424