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2134234144 = 25719349367
BaseRepresentation
bin111111100110101…
…1101010000100000
312111201221022212001
41333031131100200
513332330443034
6551440013344
7103613455660
oct17715352040
95451838761
102134234144
119a57a0779
124b6901254
13280216153
1416363c1a0
15c757aa14
hex7f35d420

2134234144 has 48 divisors (see below), whose sum is σ = 4827005568. Its totient is φ = 909914112.

The previous prime is 2134234133. The next prime is 2134234163. The reversal of 2134234144 is 4414324312.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 18549 + ... + 67915.

It is an arithmetic number, because the mean of its divisors is an integer number (100562616).

Almost surely, 22134234144 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 2134234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413502784).

2134234144 is an abundant number, since it is smaller than the sum of its proper divisors (2692771424).

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

2134234144 is a wasteful number, since it uses less digits than its factorization.

2134234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49577 (or 49569 counting only the distinct ones).

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

The square root of 2134234144 is about 46197.7720674926. The cubic root of 2134234144 is about 1287.5003462971.

Adding to 2134234144 its reverse (4414324312), we get a palindrome (6548558456).

The spelling of 2134234144 in words is "two billion, one hundred thirty-four million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 193 224 386 772 1351 1544 2702 3088 5404 6176 10808 21616 43232 49367 98734 197468 345569 394936 691138 789872 1382276 1579744 2764552 5529104 9527831 11058208 19055662 38111324 66694817 76222648 133389634 152445296 266779268 304890592 533558536 1067117072 2134234144