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130424220414 = 2336160165881
BaseRepresentation
bin111100101110111100…
…0111010101011111110
3110110122111011212122000
41321131320322223332
54114102100023124
6135525511403130
712265014403365
oct1713570725376
9413574155560
10130424220414
1150349088214
122133a9834a6
13c3b6a46527
1464539767dc
1535d520d6c9
hex1e5de3aafe

130424220414 has 64 divisors (see below), whose sum is σ = 295077572160. Its totient is φ = 42690240000.

The previous prime is 130424220389. The next prime is 130424220457. The reversal of 130424220414 is 414022424031.

130424220414 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 24 + 220 + 414 = 666.

130424220414 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1946754 + ... + 2012634.

It is an arithmetic number, because the mean of its divisors is an integer number (4610587065).

Almost surely, 2130424220414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130424220414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147538786080).

130424220414 is an abundant number, since it is smaller than the sum of its proper divisors (164653351746).

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

130424220414 is a wasteful number, since it uses less digits than its factorization.

130424220414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66554 (or 66548 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 130424220414 its reverse (414022424031), we get a palindrome (544446644445).

The spelling of 130424220414 in words is "one hundred thirty billion, four hundred twenty-four million, two hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 601 1098 1202 1647 1803 3294 3606 5409 10818 16227 32454 36661 65881 73322 109983 131762 197643 219966 329949 395286 592929 659898 989847 1185858 1778787 1979694 3557574 4018741 8037482 12056223 24112446 36168669 39594481 72337338 79188962 108506007 118783443 217012014 237566886 356350329 712700658 1069050987 2138101974 2415263341 4830526682 7245790023 14491580046 21737370069 43474740138 65212110207 130424220414