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141315000 = 233549421
BaseRepresentation
bin10000110110001…
…00101110111000
3100211220112201220
420123010232320
5242134040000
622004512040
73334105041
oct1033045670
9324815656
10141315000
1172850062
123b3ab620
132337aa58
1414aa78c8
15c6161a0
hex86c4bb8

141315000 has 80 divisors (see below), whose sum is σ = 441514920. Its totient is φ = 37680000.

The previous prime is 141314983. The next prime is 141315023. The reversal of 141315000 is 513141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10290 + ... + 19710.

Almost surely, 2141315000 is an apocalyptic number.

141315000 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 141315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220757460).

141315000 is an abundant number, since it is smaller than the sum of its proper divisors (300199920).

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

141315000 is an equidigital number, since it uses as much as digits as its factorization.

141315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 141315000 is about 11887.5985800329. The cubic root of 141315000 is about 520.8700916279.

Adding to 141315000 its reverse (513141), we get a palindrome (141828141).

The spelling of 141315000 in words is "one hundred forty-one million, three hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 9421 15000 18842 28263 37684 47105 56526 75368 94210 113052 141315 188420 226104 235525 282630 376840 471050 565260 706575 942100 1130520 1177625 1413150 1884200 2355250 2826300 3532875 4710500 5652600 5888125 7065750 9421000 11776250 14131500 17664375 23552500 28263000 35328750 47105000 70657500 141315000