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141341310 = 232511212979
BaseRepresentation
bin10000110110010…
…11001001111110
3100211221212211100
420123023021332
5242140410220
622005233530
73334244535
oct1033131176
9324855740
10141341310
1172868900
123b4028a6
1323389a16
1414ab331c
15c61dd90
hex86cb27e

141341310 has 72 divisors (see below), whose sum is σ = 403963560. Its totient is φ = 34261920.

The previous prime is 141341297. The next prime is 141341311. The reversal of 141341310 is 13143141.

141341310 is a `hidden beast` number, since 14 + 1 + 341 + 310 = 666.

It is a super-2 number, since 2×1413413102 = 39954731825032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141341311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4401 + ... + 17379.

It is an arithmetic number, because the mean of its divisors is an integer number (5610605).

Almost surely, 2141341310 is an apocalyptic number.

141341310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141341310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201981780).

141341310 is an abundant number, since it is smaller than the sum of its proper divisors (262622250).

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

141341310 is a wasteful number, since it uses less digits than its factorization.

141341310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13014 (or 13000 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 141341310 is about 11888.7051439591. The cubic root of 141341310 is about 520.9024147871.

Adding to 141341310 its reverse (13143141), we get a palindrome (154484451).

The spelling of 141341310 in words is "one hundred forty-one million, three hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 12979 25958 38937 64895 77874 116811 129790 142769 194685 233622 285538 389370 428307 584055 713845 856614 1168110 1284921 1427690 1570459 2141535 2569842 3140918 4283070 4711377 6424605 7852295 9422754 12849210 14134131 15704590 23556885 28268262 47113770 70670655 141341310