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4316105144 = 231373751757
BaseRepresentation
bin1000000010100001…
…01000100110111000
3102010210111212012002
410001100220212320
532314410331034
61552141040132
7211646200631
oct40120504670
912123455162
104316105144
11191536874a
12a05556048
1353a26ab90
142cd31a888
151a3db5e7e
hex1014289b8

4316105144 has 64 divisors (see below), whose sum is σ = 8858048640. Its totient is φ = 1959552000.

The previous prime is 4316105047. The next prime is 4316105149. The reversal of 4316105144 is 4415016134.

It is a super-2 number, since 2×43161051442 = 37257527228126521472, which contains 22 as substring.

4316105144 is a Rhonda number in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4316105149) 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, 5701214 + ... + 5701970.

It is an arithmetic number, because the mean of its divisors is an integer number (138407010).

Almost surely, 24316105144 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 4316105144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429024320).

4316105144 is an abundant number, since it is smaller than the sum of its proper divisors (4541943496).

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

4316105144 is a wasteful number, since it uses less digits than its factorization.

4316105144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 4316105144 is about 65697.0710458236. The cubic root of 4316105144 is about 1628.1609660400.

The spelling of 4316105144 in words is "four billion, three hundred sixteen million, one hundred five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 751 757 949 1502 1514 1898 3004 3028 3796 6008 6056 7592 9763 9841 19526 19682 39052 39364 54823 55261 78104 78728 109646 110522 219292 221044 438584 442088 568507 712699 718393 1137014 1425398 1436786 2274028 2850796 2873572 4548056 5701592 5747144 7390591 14781182 29562364 41501011 59124728 83002022 166004044 332008088 539513143 1079026286 2158052572 4316105144