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130406514126 = 2373124178803
BaseRepresentation
bin111100101110011010…
…1010111110111001110
3110110121020212022011120
41321130311113313032
54114033031423001
6135524040101410
712264411036510
oct1713465276716
9413536768146
10130406514126
115033a094219
1221334a64866
13c3b3187135
146451487bb0
1535d38b2236
hex1e5cd57dce

130406514126 has 96 divisors (see below), whose sum is σ = 315513563904. Its totient is φ = 35177212800.

The previous prime is 130406514071. The next prime is 130406514169. The reversal of 130406514126 is 621415604031.

It is a congruent number.

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, 1615441 + ... + 1694243.

It is an arithmetic number, because the mean of its divisors is an integer number (3286599624).

Almost surely, 2130406514126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130406514126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157756781952).

130406514126 is an abundant number, since it is smaller than the sum of its proper divisors (185107049778).

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

130406514126 is a wasteful number, since it uses less digits than its factorization.

130406514126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78918 (or 78887 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 130406514126 in words is "one hundred thirty billion, four hundred six million, five hundred fourteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 31 41 42 62 82 93 123 186 217 246 287 434 574 651 861 961 1271 1302 1722 1922 2542 2883 3813 5766 6727 7626 8897 13454 17794 20181 26691 39401 40362 53382 78802 78803 118203 157606 236406 236409 275807 472818 551614 551621 827421 1103242 1654842 1654863 2442893 3230923 3309726 4885786 6461846 7328679 9692769 14657358 17100251 19385538 22616461 34200502 45232922 51300753 67849383 75729683 100158613 102601506 135698766 151459366 200317226 227189049 300475839 454378098 530107781 600951678 701110291 1060215562 1402220582 1590323343 2103330873 3104917003 3180646686 4206661746 6209834006 9314751009 18629502018 21734419021 43468838042 65203257063 130406514126