Search a number
-
+
130141412340 = 22354789518533
BaseRepresentation
bin111100100110100001…
…0000101101111110100
3110102220210000201212220
41321031002011233310
54113012200143330
6135441450042340
712255011516142
oct1711502055764
9412823021786
10130141412340
1150213486335
12212801193b0
13c370287984
14642819a592
1535ba498710
hex1e4d085bf4

130141412340 has 96 divisors (see below), whose sum is σ = 376331235840. Its totient is φ = 33584280576.

The previous prime is 130141412273. The next prime is 130141412381. The reversal of 130141412340 is 43214141031.

It is a self number, because there is not a number n which added to its sum of digits gives 130141412340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8287 + ... + 510246.

It is an arithmetic number, because the mean of its divisors is an integer number (3920117040).

Almost surely, 2130141412340 is an apocalyptic number.

130141412340 is a gapful number since it is divisible by the number (10) 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 130141412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188165617920).

130141412340 is an abundant number, since it is smaller than the sum of its proper divisors (246189823500).

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

130141412340 is a wasteful number, since it uses less digits than its factorization.

130141412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518681 (or 518679 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 130141412340 its reverse (43214141031), we get a palindrome (173355553371).

The spelling of 130141412340 in words is "one hundred thirty billion, one hundred forty-one million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 89 94 141 178 188 235 267 282 356 445 470 534 564 705 890 940 1068 1335 1410 1780 2670 2820 4183 5340 8366 12549 16732 20915 25098 41830 50196 62745 83660 125490 250980 518533 1037066 1555599 2074132 2592665 3111198 5185330 6222396 7777995 10370660 15555990 24371051 31111980 46149437 48742102 73113153 92298874 97484204 121855255 138448311 146226306 184597748 230747185 243710510 276896622 292452612 365565765 461494370 487421020 553793244 692241555 731131530 922988740 1384483110 1462263060 2169023539 2768966220 4338047078 6507070617 8676094156 10845117695 13014141234 21690235390 26028282468 32535353085 43380470780 65070706170 130141412340