Search a number
-
+
2144842368 = 27323475167
BaseRepresentation
bin111111111010111…
…1011001010000000
312112110220021121020
41333311323022000
513343034423433
6552455225440
7104102600514
oct17765731200
95473807536
102144842368
11a007868a9
124ba378280
1328248b7c6
14164c00144
15c8473cb3
hex7fd7b280

2144842368 has 128 divisors (see below), whose sum is σ = 6072606720. Its totient is φ = 669182976.

The previous prime is 2144842309. The next prime is 2144842373. The reversal of 2144842368 is 8632484412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412521 + ... + 417687.

It is an arithmetic number, because the mean of its divisors is an integer number (47442240).

Almost surely, 22144842368 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 2144842368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036303360).

2144842368 is an abundant number, since it is smaller than the sum of its proper divisors (3927764352).

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

2144842368 is a wasteful number, since it uses less digits than its factorization.

2144842368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5254 (or 5242 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 2144842368 is about 46312.4429068474. The cubic root of 2144842368 is about 1289.6299978450.

The spelling of 2144842368 in words is "two billion, one hundred forty-four million, eight hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 64 69 92 94 96 128 138 141 184 188 192 276 282 368 376 384 552 564 736 752 1081 1104 1128 1472 1504 2162 2208 2256 2944 3008 3243 4324 4416 4512 5167 6016 6486 8648 8832 9024 10334 12972 15501 17296 18048 20668 25944 31002 34592 41336 51888 62004 69184 82672 103776 118841 124008 138368 165344 207552 237682 242849 248016 330688 356523 415104 475364 485698 496032 661376 713046 728547 950728 971396 992064 1426092 1457094 1901456 1942792 1984128 2852184 2914188 3802912 3885584 5585527 5704368 5828376 7605824 7771168 11171054 11408736 11656752 15211648 15542336 16756581 22342108 22817472 23313504 31084672 33513162 44684216 45634944 46627008 67026324 89368432 93254016 134052648 178736864 268105296 357473728 536210592 714947456 1072421184 2144842368