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3002242359204 = 223611229172
BaseRepresentation
bin101011101100000011100…
…101101101111110100100
3101122000022102122221000000
4223230003211231332210
5343142043020443304
610215113333021300
7426622235665344
oct53540345557644
911560272587000
103002242359204
11a582755a8400
12405a30a84830
1318a158272b7a
14a5448a3cd24
155316652b939
hex2bb0396dfa4

3002242359204 has 189 divisors, whose sum is σ = 8661470102481. Its totient is φ = 909458526240.

The previous prime is 3002242359163. The next prime is 3002242359241. The reversal of 3002242359204 is 4029532422003.

The square root of 3002242359204 is 1732698.

It is a perfect power (a square), and thus also a powerful number.

3002242359204 is a `hidden beast` number, since 3 + 0 + 0 + 22 + 42 + 3 + 592 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2998126880100 + 4115479104 = 1731510^2 + 64152^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1029221154 + ... + 1029224070.

Almost surely, 23002242359204 is an apocalyptic number.

3002242359204 is the 1732698-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002242359204

3002242359204 is an abundant number, since it is smaller than the sum of its proper divisors (5659227743277).

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

3002242359204 is an frugal number, since it uses more digits than its factorization.

3002242359204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Multiplying 3002242359204 by its sum of digits (36), we get a square (108080724931344 = 103961882).

3002242359204 divided by its sum of digits (36) gives a square (83395621089 = 2887832).

The spelling of 3002242359204 in words is "three trillion, two billion, two hundred forty-two million, three hundred fifty-nine thousand, two hundred four".