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141315068900 = 22522753513313
BaseRepresentation
bin1000001110011100001…
…0001101001111100100
3111111202111020022010202
42003213002031033210
54303403124201100
6144530320210032
713131630160265
oct2034702151744
9444674208122
10141315068900
1154a27743945
122347a169918
1310431174a85
146ba815296c
153a213db7d5
hex20e708d3e4

141315068900 has 36 divisors (see below), whose sum is σ = 306765686052. Its totient is φ = 56505384960.

The previous prime is 141315068899. The next prime is 141315068927. The reversal of 141315068900 is 9860513141.

It can be written as a sum of positive squares in 6 ways, for example, as 953944996 + 140361123904 = 30886^2 + 374648^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18644 + ... + 531956.

It is an arithmetic number, because the mean of its divisors is an integer number (8521269057).

Almost surely, 2141315068900 is an apocalyptic number.

141315068900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141315068900 is an abundant number, since it is smaller than the sum of its proper divisors (165450617152).

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

141315068900 is a wasteful number, since it uses less digits than its factorization.

141315068900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516080 (or 516073 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The spelling of 141315068900 in words is "one hundred forty-one billion, three hundred fifteen million, sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2753 5506 11012 13765 27530 55060 68825 137650 275300 513313 1026626 2053252 2566565 5133130 10266260 12832825 25665650 51331300 1413150689 2826301378 5652602756 7065753445 14131506890 28263013780 35328767225 70657534450 141315068900