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3024140000 = 2554721601
BaseRepresentation
bin1011010001000000…
…1011011011100000
321210202110020012012
42310100023123200
522143134440000
61220025452052
7134640523460
oct26420133340
97722406165
103024140000
111312059162
12704941028
133926b716b
142098cbba0
1512a761735
hexb440b6e0

3024140000 has 120 divisors (see below), whose sum is σ = 8503065648. Its totient is φ = 1036800000.

The previous prime is 3024139969. The next prime is 3024140143. The reversal of 3024140000 is 414203.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 129200 + ... + 150800.

Almost surely, 23024140000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3024140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251532824).

3024140000 is an abundant number, since it is smaller than the sum of its proper divisors (5478925648).

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

3024140000 is an equidigital number, since it uses as much as digits as its factorization.

3024140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21638 (or 21615 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3024140000 is about 54992.1812624304. The cubic root of 3024140000 is about 1446.1076742928.

Adding to 3024140000 its reverse (414203), we get a palindrome (3024554203).

The spelling of 3024140000 in words is "three billion, twenty-four million, one hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4375 5000 5600 7000 8750 10000 14000 17500 20000 21601 28000 35000 43202 70000 86404 108005 140000 151207 172808 216010 302414 345616 432020 540025 604828 691232 756035 864040 1080050 1209656 1512070 1728080 2160100 2419312 2700125 3024140 3456160 3780175 4320200 4838624 5400250 6048280 7560350 8640400 10800500 12096560 13500625 15120700 17280800 18900875 21601000 24193120 27001250 30241400 37801750 43202000 54002500 60482800 75603500 86404000 94504375 108005000 120965600 151207000 189008750 216010000 302414000 378017500 432020000 604828000 756035000 1512070000 3024140000