Search a number
-
+
130353414432 = 2532497154377
BaseRepresentation
bin111100101100110101…
…0110100000100100000
3110110110112221120002020
41321121222310010200
54113430433230212
6135514502021440
712263164512063
oct1713152640440
9413415846066
10130353414432
115031211667a
122131b117880
13c3a5184bb7
1464483c48da
1535cddc3d8c
hex1e59ab4120

130353414432 has 48 divisors (see below), whose sum is σ = 342197708832. Its totient is φ = 43448599040.

The previous prime is 130353414413. The next prime is 130353414439. The reversal of 130353414432 is 234414353031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 130353414393 and 130353414402.

It is not an unprimeable number, because it can be changed into a prime (130353414439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2370028 + ... + 2424404.

It is an arithmetic number, because the mean of its divisors is an integer number (7129118934).

Almost surely, 2130353414432 is an apocalyptic number.

130353414432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130353414432 is an abundant number, since it is smaller than the sum of its proper divisors (211844294400).

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

130353414432 is a wasteful number, since it uses less digits than its factorization.

130353414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79361 (or 79353 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 130353414432 its reverse (234414353031), we get a palindrome (364767767463).

The spelling of 130353414432 in words is "one hundred thirty billion, three hundred fifty-three million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 24971 49942 54377 74913 99884 108754 149826 163131 199768 217508 299652 326262 399536 435016 599304 652524 799072 870032 1198608 1305048 1740064 2397216 2610096 5220192 1357848067 2715696134 4073544201 5431392268 8147088402 10862784536 16294176804 21725569072 32588353608 43451138144 65176707216 130353414432