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3024121140 = 2232516800673
BaseRepresentation
bin1011010001000000…
…0110110100110100
321210202102021022200
42310100012310310
522143133334030
61220025224500
7134640414465
oct26420066464
97722367280
103024121140
111312045a77
12704932130
133926ab6c1
142098c4d6c
1512a75ad60
hexb4406d34

3024121140 has 36 divisors (see below), whose sum is σ = 9173168004. Its totient is φ = 806432256.

The previous prime is 3024121129. The next prime is 3024121153. The reversal of 3024121140 is 411214203.

It can be written as a sum of positive squares in 2 ways, for example, as 347300496 + 2676820644 = 18636^2 + 51738^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 8400157 + ... + 8400516.

Almost surely, 23024121140 is an apocalyptic number.

3024121140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3024121140 is an abundant number, since it is smaller than the sum of its proper divisors (6149046864).

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

3024121140 is a wasteful number, since it uses less digits than its factorization.

3024121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16800688 (or 16800683 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3024121140 is about 54992.0097832403. The cubic root of 3024121140 is about 1446.1046680776.

Adding to 3024121140 its reverse (411214203), we get a palindrome (3435335343).

The spelling of 3024121140 in words is "three billion, twenty-four million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 16800673 33601346 50402019 67202692 84003365 100804038 151206057 168006730 201608076 252010095 302412114 336013460 504020190 604824228 756030285 1008040380 1512060570 3024121140