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141242319720 = 23325392339777
BaseRepresentation
bin1000001110001010110…
…0101100001101101000
3111111120102100021000200
42003202230230031220
54303231013212340
6144515201032200
713130054623455
oct2034254541550
9444512307020
10141242319720
115499a675357
1223459925660
131041c082b18
146b9c61682c
153a19d1b330
hex20e2b2c368

141242319720 has 48 divisors (see below), whose sum is σ = 459037540260. Its totient is φ = 37664618496.

The previous prime is 141242319697. The next prime is 141242319721. The reversal of 141242319720 is 27913242141.

141242319720 is a `hidden beast` number, since 1 + 41 + 2 + 423 + 197 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 141197080644 + 45239076 = 375762^2 + 6726^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (141242319721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196169529 + ... + 196170248.

Almost surely, 2141242319720 is an apocalyptic number.

141242319720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141242319720 is an abundant number, since it is smaller than the sum of its proper divisors (317795220540).

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

141242319720 is a wasteful number, since it uses less digits than its factorization.

141242319720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392339794 (or 392339787 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 141242319720 in words is "one hundred forty-one billion, two hundred forty-two million, three hundred nineteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 392339777 784679554 1177019331 1569359108 1961698885 2354038662 3138718216 3531057993 3923397770 4708077324 5885096655 7062115986 7846795540 9416154648 11770193310 14124231972 15693591080 17655289965 23540386620 28248463944 35310579930 47080773240 70621159860 141242319720