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130214431044 = 2232611491672383
BaseRepresentation
bin111100101000101100…
…0101000100101000100
3110110002212102110201100
41321101120220211010
54113134343243134
6135453015100100
712256556254515
oct1712130504504
9413085373640
10130214431044
1150250719375
12212a0671630
13c3824424c9
146433b66a0c
1535c1abd999
hex1e51628944

130214431044 has 144 divisors (see below), whose sum is σ = 338953305600. Its totient is φ = 42135102720.

The previous prime is 130214431043. The next prime is 130214431049. The reversal of 130214431044 is 440134412031.

130214431044 is a `hidden beast` number, since 1 + 302 + 1 + 4 + 4 + 310 + 44 = 666.

It is a super-2 number, since 2×1302144310442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130214430999 and 130214431017.

It is not an unprimeable number, because it can be changed into a prime (130214431043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54641877 + ... + 54644259.

It is an arithmetic number, because the mean of its divisors is an integer number (2353842400).

Almost surely, 2130214431044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130214431044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169476652800).

130214431044 is an abundant number, since it is smaller than the sum of its proper divisors (208738874556).

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

130214431044 is a wasteful number, since it uses less digits than its factorization.

130214431044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2765 counting only the distinct ones).

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

Adding to 130214431044 its reverse (440134412031), we get a palindrome (570348843075).

The spelling of 130214431044 in words is "one hundred thirty billion, two hundred fourteen million, four hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 149 167 183 244 298 334 366 447 501 549 596 668 732 894 1002 1098 1341 1503 1788 2004 2196 2383 2682 3006 4766 5364 6012 7149 9089 9532 10187 14298 18178 20374 21447 24883 27267 28596 30561 36356 40748 42894 49766 54534 61122 74649 81801 85788 91683 99532 109068 122244 145363 149298 163602 183366 223947 290726 298596 327204 355067 366732 397961 436089 447894 581452 710134 795922 872178 895788 1065201 1193883 1308267 1420268 1517863 1591844 1744356 2130402 2387766 2616534 3035726 3195603 3581649 4260804 4553589 4775532 5233068 6071452 6391206 7163298 9107178 12782412 13660767 14326596 18214356 21659087 24275621 27321534 43318174 48551242 54643068 59296189 64977261 72826863 86636348 97102484 118592378 129954522 145653726 177888567 194931783 218480589 237184756 259909044 291307452 355777134 389863566 436961178 533665701 711554268 779727132 873922356 1067331402 2134662804 3617067529 7234135058 10851202587 14468270116 21702405174 32553607761 43404810348 65107215522 130214431044