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3234142144 = 26438314159
BaseRepresentation
bin1100000011000101…
…0001011111000000
322100101121102222101
43000301101133000
523110420022034
61252530520144
7143100516562
oct30061213700
98311542871
103234142144
11140a652952
12763136054
133c7063c9c
14229755332
1513dde4514
hexc0c517c0

3234142144 has 56 divisors (see below), whose sum is σ = 6646590720. Its totient is φ = 1560324864.

The previous prime is 3234142129. The next prime is 3234142189. The reversal of 3234142144 is 4412414323.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221337 + ... + 235495.

It is an arithmetic number, because the mean of its divisors is an integer number (118689120).

Almost surely, 23234142144 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 3234142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323295360).

3234142144 is an abundant number, since it is smaller than the sum of its proper divisors (3412448576).

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

3234142144 is a wasteful number, since it uses less digits than its factorization.

3234142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14297 (or 14287 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 3234142144 is about 56869.5185842117. The cubic root of 3234142144 is about 1478.8349340791.

Adding to 3234142144 its reverse (4412414323), we get a palindrome (7646556467).

The spelling of 3234142144 in words is "three billion, two hundred thirty-four million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 83 86 166 172 332 344 664 688 1328 1376 2656 2752 3569 5312 7138 14159 14276 28318 28552 56636 57104 113272 114208 226544 228416 453088 608837 906176 1175197 1217674 2350394 2435348 4700788 4870696 9401576 9741392 18803152 19482784 37606304 38965568 50533471 75212608 101066942 202133884 404267768 808535536 1617071072 3234142144