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2023144144 = 24722580541
BaseRepresentation
bin111100010010110…
…1011101011010000
312012222220101000121
41320211223223100
513120411103034
6532431000024
7101064304300
oct17045535320
95188811017
102023144144
1194901515a
12485669014
132631bb918
141529a1600
15bc9351b4
hex7896bad0

2023144144 has 30 divisors (see below), whose sum is σ = 4559817714. Its totient is φ = 867061440.

The previous prime is 2023144133. The next prime is 2023144199. The reversal of 2023144144 is 4414413202.

It can be written as a sum of positive squares in only one way, i.e., 1982030400 + 41113744 = 44520^2 + 6412^2 .

It is a super-2 number, since 2×20231441442 = 8186224454802985472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1289487 + ... + 1291054.

Almost surely, 22023144144 is an apocalyptic number.

It is an amenable number.

2023144144 is an abundant number, since it is smaller than the sum of its proper divisors (2536673570).

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

2023144144 is a wasteful number, since it uses less digits than its factorization.

2023144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580563 (or 2580550 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2023144144 is about 44979.3746510553. The cubic root of 2023144144 is about 1264.7623885705.

Adding to 2023144144 its reverse (4414413202), we get a palindrome (6437557346).

The spelling of 2023144144 in words is "two billion, twenty-three million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 2580541 5161082 10322164 18063787 20644328 36127574 41288656 72255148 126446509 144510296 252893018 289020592 505786036 1011572072 2023144144