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147094295040 = 2932571182913
BaseRepresentation
bin1000100011111110000…
…0001101001000000000
3112001200020212102000100
42020333200031020000
54402222114420130
6151324005122400
713425063610140
oct2107740151000
9461606772010
10147094295040
1157422992aa0
12246116b9400
1310b42591b04
1471958d2920
153c5d964c60
hex223f80d200

147094295040 has 480 divisors, whose sum is σ = 635139812736. Its totient is φ = 30564679680.

The previous prime is 147094294999. The next prime is 147094295063. The reversal of 147094295040 is 40592490741.

147094295040 is a `hidden beast` number, since 1 + 470 + 94 + 2 + 9 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1732624 + ... + 1815536.

Almost surely, 2147094295040 is an apocalyptic number.

147094295040 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 147094295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317569906368).

147094295040 is an abundant number, since it is smaller than the sum of its proper divisors (488045517696).

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

147094295040 is a wasteful number, since it uses less digits than its factorization.

147094295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82960 (or 82941 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 147094295040 in words is "one hundred forty-seven billion, ninety-four million, two hundred ninety-five thousand, forty".