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141818300 = 22521343259
BaseRepresentation
bin10000111001111…
…11100110111100
3100212212010010122
420130333212330
5242301141200
622023354112
73341302301
oct1034774674
9325763118
10141818300
1173064208
123b5b2938
13234c5b70
1414b990a8
15c6b5385
hex873f9bc

141818300 has 108 divisors (see below), whose sum is σ = 345056040. Its totient is φ = 50279040.

The previous prime is 141818293. The next prime is 141818309. The reversal of 141818300 is 3818141.

141818300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1418183002 = 40224860429780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 141818300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141818309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2403671 + ... + 2403729.

Almost surely, 2141818300 is an apocalyptic number.

141818300 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 141818300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172528020).

141818300 is an abundant number, since it is smaller than the sum of its proper divisors (203237740).

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

141818300 is a wasteful number, since it uses less digits than its factorization.

141818300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 141818300 is about 11908.7488847486. The cubic root of 141818300 is about 521.4877267149.

The spelling of 141818300 in words is "one hundred forty-one million, eight hundred eighteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 59 65 86 100 118 130 172 215 236 260 295 325 430 559 590 650 767 860 1075 1118 1180 1300 1475 1534 1849 2150 2236 2537 2795 2950 3068 3698 3835 4300 5074 5590 5900 7396 7670 9245 10148 11180 12685 13975 15340 18490 19175 24037 25370 27950 32981 36980 38350 46225 48074 50740 55900 63425 65962 76700 92450 96148 109091 120185 126850 131924 164905 184900 218182 240370 253700 329810 436364 480740 545455 600925 659620 824525 1090910 1201850 1418183 1649050 2181820 2403700 2727275 2836366 3298100 5454550 5672732 7090915 10909100 14181830 28363660 35454575 70909150 141818300