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141410000 = 245479179
BaseRepresentation
bin10000110110110…
…11111011010000
3100212002101001102
420123123323100
5242200110000
622010523532
73334652024
oct1033337320
9325071042
10141410000
1172905476
123b4365a8
13233b2074
1414ad0384
15c6343d5
hex86dbed0

141410000 has 100 divisors (see below), whose sum is σ = 348638400. Its totient is φ = 55536000.

The previous prime is 141409993. The next prime is 141410021. The reversal of 141410000 is 14141.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 789911 + ... + 790089.

It is an arithmetic number, because the mean of its divisors is an integer number (3486384).

Almost surely, 2141410000 is an apocalyptic number.

141410000 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 141410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174319200).

141410000 is an abundant number, since it is smaller than the sum of its proper divisors (207228400).

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

141410000 is an equidigital number, since it uses as much as digits as its factorization.

141410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 141410000 is about 11891.5936694793. The cubic root of 141410000 is about 520.9867850067.

Adding to 141410000 its reverse (14141), we get a palindrome (141424141).

Multiplying 141410000 by its reverse (14141), we get a square (1999678810000 = 14141002).

141410000 divided by its reverse (14141) gives a 4-th power (10000 = 104).

The spelling of 141410000 in words is "one hundred forty-one million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 179 200 250 316 358 395 400 500 625 632 716 790 895 1000 1250 1264 1432 1580 1790 1975 2000 2500 2864 3160 3580 3950 4475 5000 6320 7160 7900 8950 9875 10000 14141 14320 15800 17900 19750 22375 28282 31600 35800 39500 44750 49375 56564 70705 71600 79000 89500 98750 111875 113128 141410 158000 179000 197500 223750 226256 282820 353525 358000 395000 447500 565640 707050 790000 895000 1131280 1414100 1767625 1790000 2828200 3535250 5656400 7070500 8838125 14141000 17676250 28282000 35352500 70705000 141410000