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141416300 = 22526197239
BaseRepresentation
bin10000110110111…
…01011101101100
3100212002200200202
420123131131230
5242200310200
622011013032
73335006264
oct1033353554
9325080622
10141416300
117290a183
123b43a178
13233b4bac
1414ad27a4
15c6361d5
hex86dd76c

141416300 has 72 divisors (see below), whose sum is σ = 316438080. Its totient is φ = 54835200.

The previous prime is 141416299. The next prime is 141416329. The reversal of 141416300 is 3614141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591581 + ... + 591819.

Almost surely, 2141416300 is an apocalyptic number.

141416300 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 141416300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158219040).

141416300 is an abundant number, since it is smaller than the sum of its proper divisors (175021780).

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

141416300 is a wasteful number, since it uses less digits than its factorization.

141416300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 141416300 is about 11891.8585595356. The cubic root of 141416300 is about 520.9945217722.

The spelling of 141416300 in words is "one hundred forty-one million, four hundred sixteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 97 100 122 194 239 244 305 388 478 485 610 956 970 1195 1220 1525 1940 2390 2425 3050 4780 4850 5917 5975 6100 9700 11834 11950 14579 23183 23668 23900 29158 29585 46366 58316 59170 72895 92732 115915 118340 145790 147925 231830 291580 295850 364475 463660 579575 591700 728950 1159150 1414163 1457900 2318300 2828326 5656652 7070815 14141630 28283260 35354075 70708150 141416300