Search a number
-
+
2401323144 = 2331115535857
BaseRepresentation
bin1000111100100001…
…0100100010001000
320012100111212002020
42033020110202020
514404214320034
61034140404440
7113335624053
oct21710244210
96170455066
102401323144
111022536690
12570246720
132c365cc8c
1418acc5a9a
15e0c38249
hex8f214888

2401323144 has 64 divisors (see below), whose sum is σ = 6554399040. Its totient is φ = 727080960.

The previous prime is 2401323143. The next prime is 2401323161. The reversal of 2401323144 is 4413231042.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2401323143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407064 + ... + 412920.

It is an arithmetic number, because the mean of its divisors is an integer number (102412485).

Almost surely, 22401323144 is an apocalyptic number.

2401323144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2401323144 is an abundant number, since it is smaller than the sum of its proper divisors (4153075896).

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

2401323144 is a wasteful number, since it uses less digits than its factorization.

2401323144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7430 (or 7426 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2401323144 is about 49003.2972768160. The cubic root of 2401323144 is about 1339.1118983493. Note that the first 3 decimals are identical.

Adding to 2401323144 its reverse (4413231042), we get a palindrome (6814554186).

The spelling of 2401323144 in words is "two billion, four hundred one million, three hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1553 3106 4659 5857 6212 9318 11714 12424 17083 17571 18636 23428 34166 35142 37272 46856 51249 64427 68332 70284 102498 128854 136664 140568 193281 204996 257708 386562 409992 515416 773124 1546248 9095921 18191842 27287763 36383684 54575526 72767368 100055131 109151052 200110262 218302104 300165393 400220524 600330786 800441048 1200661572 2401323144