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141018448000 = 27538813653
BaseRepresentation
bin1000001101010101011…
…0101100000010000000
3111110222211002101202111
42003111112230002000
54302301210314000
6144441042425104
713121366013313
oct2032526540200
9443884071674
10141018448000
1154895268201
12233b6962194
13103b488b051
146b7a9bc97a
153a05348cba
hex20d55ac080

141018448000 has 64 divisors (see below), whose sum is σ = 350607156120. Its totient is φ = 56407372800.

The previous prime is 141018447989. The next prime is 141018448009. The reversal of 141018448000 is 844810141.

It can be written as a sum of positive squares in 4 ways, for example, as 35070801984 + 105947646016 = 187272^2 + 325496^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (141018448009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4390827 + ... + 4422826.

Almost surely, 2141018448000 is an apocalyptic number.

141018448000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141018448000 is an abundant number, since it is smaller than the sum of its proper divisors (209588708120).

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

141018448000 is an frugal number, since it uses more digits than its factorization.

141018448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8813682 (or 8813660 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The spelling of 141018448000 in words is "one hundred forty-one billion, eighteen million, four hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 8813653 17627306 35254612 44068265 70509224 88136530 141018448 176273060 220341325 282036896 352546120 440682650 564073792 705092240 881365300 1101706625 1128147584 1410184480 1762730600 2203413250 2820368960 3525461200 4406826500 5640737920 7050922400 8813653000 14101844800 17627306000 28203689600 35254612000 70509224000 141018448000