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2323004744320 = 27513279207301
BaseRepresentation
bin100001110011011101110…
…111110110001010000000
322020002002012020222021121
4201303131313312022000
5301030003203304240
64535101301402024
7326555136350011
oct41633567661200
98202065228247
102323004744320
118161a9687a77
12316269709314
1313b09b423710
1480610d97008
15406600d704a
hex21cdddf6280

2323004744320 has 64 divisors (see below), whose sum is σ = 5980620408840. Its totient is φ = 857724825600.

The previous prime is 2323004744299. The next prime is 2323004744323. The reversal of 2323004744320 is 234474003232.

2323004744320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 841798910016 + 1481205834304 = 917496^2 + 1217048^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2323004744323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139595331 + ... + 139611970.

Almost surely, 22323004744320 is an apocalyptic number.

2323004744320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2323004744320 is an abundant number, since it is smaller than the sum of its proper divisors (3657615664520).

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

2323004744320 is a wasteful number, since it uses less digits than its factorization.

2323004744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279207333 (or 279207321 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 34.

Adding to 2323004744320 its reverse (234474003232), we get a palindrome (2557478747552).

The spelling of 2323004744320 in words is "two trillion, three hundred twenty-three billion, four million, seven hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 279207301 558414602 1116829204 1396036505 2233658408 2792073010 3629694913 4467316816 5584146020 7259389826 8934633632 11168292040 14518779652 17869267264 18148474565 22336584080 29037559304 35738534528 36296949130 44673168160 58075118608 72593898260 89346336320 116150237216 145187796520 178692672640 232300474432 290375593040 464600948864 580751186080 1161502372160 2323004744320