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141413300 = 22527269751
BaseRepresentation
bin10000110110111…
…00101110110100
3100212002112120122
420123130232310
5242200211200
622010551112
73334664450
oct1033345664
9325075518
10141413300
11729079a6
123b438498
13233b3712
1414ad1660
15c635385
hex86dcbb4

141413300 has 72 divisors (see below), whose sum is σ = 352477440. Its totient is φ = 48240000.

The previous prime is 141413299. The next prime is 141413329. The reversal of 141413300 is 3314141.

It is a congruent number.

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, 187925 + ... + 188675.

It is an arithmetic number, because the mean of its divisors is an integer number (4895520).

Almost surely, 2141413300 is an apocalyptic number.

141413300 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 141413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176238720).

141413300 is an abundant number, since it is smaller than the sum of its proper divisors (211064140).

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

141413300 is a wasteful number, since it uses less digits than its factorization.

141413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 141413300 is about 11891.7324221494. The cubic root of 141413300 is about 520.9908376268.

Adding to 141413300 its reverse (3314141), we get a palindrome (144727441).

The spelling of 141413300 in words is "one hundred forty-one million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 269 350 538 700 751 1076 1345 1502 1883 2690 3004 3755 3766 5257 5380 6725 7510 7532 9415 10514 13450 15020 18775 18830 21028 26285 26900 37550 37660 47075 52570 75100 94150 105140 131425 188300 202019 262850 404038 525700 808076 1010095 1414133 2020190 2828266 4040380 5050475 5656532 7070665 10100950 14141330 20201900 28282660 35353325 70706650 141413300