Search a number
-
+
130343121322432 = 2619620317280359
BaseRepresentation
bin11101101000101111011111…
…011100100000000111000000
3122002111200101020022110102221
4131220233133130200013000
5114041020203024304212
61141114445302420424
736311660024630254
oct3550573734400700
9562450336273387
10130343121322432
1138593230a48287
1212751453731714
1357963c40186a5
1424288d8256264
1510107cc79a807
hex768bdf7201c0

130343121322432 has 56 divisors (see below), whose sum is σ = 272306677737600. Its totient is φ = 61731521462016.

The previous prime is 130343121322417. The next prime is 130343121322457. The reversal of 130343121322432 is 234223121343031.

130343121322432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1097332 + ... + 16183027.

Almost surely, 2130343121322432 is an apocalyptic number.

It is an amenable number.

130343121322432 is an abundant number, since it is smaller than the sum of its proper divisors (141963556415168).

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

130343121322432 is a wasteful number, since it uses less digits than its factorization.

130343121322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17286593 (or 17286583 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 130343121322432 its reverse (234223121343031), we get a palindrome (364566242665463).

The spelling of 130343121322432 in words is "one hundred thirty trillion, three hundred forty-three billion, one hundred twenty-one million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 6203 12406 24812 49624 99248 117857 198496 235714 396992 471428 942856 1885712 3771424 7542848 17280359 34560718 69121436 138242872 276485744 328326821 552971488 656653642 1105942976 1313307284 2626614568 5253229136 10506458272 21012916544 107190066877 214380133754 428760267508 857520535016 1715041070032 2036611270663 3430082140064 4073222541326 6860164280128 8146445082652 16292890165304 32585780330608 65171560661216 130343121322432