Search a number
-
+
130443410412 = 223274336732801
BaseRepresentation
bin111100101111100001…
…0000111101111101100
3110110200211021211100200
41321133002013233230
54114122003113122
6135531434553500
712265336460040
oct1713702075754
9413624254320
10130443410412
11503589a4a17
1221345298890
13c3baa05063
146456330020
1535d6c4e5ac
hex1e5f087bec

130443410412 has 144 divisors (see below), whose sum is σ = 386662628352. Its totient is φ = 36302515200.

The previous prime is 130443410389. The next prime is 130443410431. The reversal of 130443410412 is 214014344031.

130443410412 is a `hidden beast` number, since 1 + 304 + 4 + 341 + 0 + 4 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3960412 + ... + 3993212.

Almost surely, 2130443410412 is an apocalyptic number.

130443410412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130443410412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193331314176).

130443410412 is an abundant number, since it is smaller than the sum of its proper divisors (256219217940).

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

130443410412 is a wasteful number, since it uses less digits than its factorization.

130443410412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33228 (or 33223 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 130443410412 its reverse (214014344031), we get a palindrome (344457754443).

The spelling of 130443410412 in words is "one hundred thirty billion, four hundred forty-three million, four hundred ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 367 387 516 602 734 774 903 1101 1204 1468 1548 1806 2202 2569 2709 3303 3612 4404 5138 5418 6606 7707 10276 10836 13212 15414 15781 23121 30828 31562 32801 46242 47343 63124 65602 92484 94686 98403 110467 131204 142029 189372 196806 220934 229607 284058 295209 331401 393612 441868 459214 568116 590418 662802 688821 918428 994203 1180836 1325604 1377642 1410443 1988406 2066463 2755284 2820886 3976812 4132926 4231329 5641772 8265852 8462658 9873101 12037967 12693987 16925316 19746202 24075934 25387974 29619303 36113901 39492404 48151868 50775948 59238606 72227802 84265769 88857909 108341703 118477212 144455604 168531538 177715818 216683406 252797307 337063076 355431636 433366812 505594614 517632581 758391921 1011189228 1035265162 1516783842 1552897743 2070530324 3033567684 3105795486 3623428067 4658693229 6211590972 7246856134 9317386458 10870284201 14493712268 18634772916 21740568402 32610852603 43481136804 65221705206 130443410412