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141111400 = 23521096473
BaseRepresentation
bin10000110100100…
…11000001101000
3100211112012110011
420122103001220
5242111031100
622000301304
73332266333
oct1032230150
9324465404
10141111400
11727210a1
123b311834
1323309191
1414a5361a
15c5c5bba
hex8693068

141111400 has 48 divisors (see below), whose sum is σ = 331145100. Its totient is φ = 55918080.

The previous prime is 141111359. The next prime is 141111413. The reversal of 141111400 is 4111141.

It can be written as a sum of positive squares in 6 ways, for example, as 41550916 + 99560484 = 6446^2 + 9978^2 .

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18564 + ... + 25036.

Almost surely, 2141111400 is an apocalyptic number.

141111400 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 141111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165572550).

141111400 is an abundant number, since it is smaller than the sum of its proper divisors (190033700).

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

141111400 is a wasteful number, since it uses less digits than its factorization.

141111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6598 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 141111400 is about 11879.0319470906. The cubic root of 141111400 is about 520.6198230278.

Adding to 141111400 its reverse (4111141), we get a palindrome (145222541).

The spelling of 141111400 in words is "one hundred forty-one million, one hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 6473 10900 12946 21800 25892 32365 51784 64730 129460 161825 258920 323650 647300 705557 1294600 1411114 2822228 3527785 5644456 7055570 14111140 17638925 28222280 35277850 70555700 141111400