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141411100 = 225217193431
BaseRepresentation
bin10000110110111…
…00001100011100
3100212002102120011
420123130030130
5242200123400
622010533004
73334655155
oct1033341434
9325072504
10141411100
1172906286
123b437164
13233b270c
1414ad092c
15c6348ba
hex86dc31c

141411100 has 72 divisors (see below), whose sum is σ = 327354048. Its totient is φ = 52838400.

The previous prime is 141411097. The next prime is 141411113. The reversal of 141411100 is 1114141.

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 23 ways as a sum of consecutive naturals, for example, 327885 + ... + 328315.

It is an arithmetic number, because the mean of its divisors is an integer number (4546584).

Almost surely, 2141411100 is an apocalyptic number.

141411100 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 141411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163677024).

141411100 is an abundant number, since it is smaller than the sum of its proper divisors (185942948).

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

141411100 is a wasteful number, since it uses less digits than its factorization.

141411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 648 counting only the distinct ones).

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

The square root of 141411100 is about 11891.6399205492. The cubic root of 141411100 is about 520.9881358871.

Adding to 141411100 its reverse (1114141), we get a palindrome (142525241).

The spelling of 141411100 in words is "one hundred forty-one million, four hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 193 340 386 425 431 772 850 862 965 1700 1724 1930 2155 3281 3860 4310 4825 6562 7327 8620 9650 10775 13124 14654 16405 19300 21550 29308 32810 36635 43100 65620 73270 82025 83183 146540 164050 166366 183175 328100 332732 366350 415915 732700 831830 1414111 1663660 2079575 2828222 4159150 5656444 7070555 8318300 14141110 28282220 35352775 70705550 141411100