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4314483672 = 2331922741681
BaseRepresentation
bin1000000010010100…
…11100101111011000
3102010200110110221120
410001022130233120
532314001434142
61552042205240
7211626335412
oct40112345730
912120413846
104314483672
111914460494
12a04ab3820
13539b20b25
142cd0179b2
151a3b957ec
hex10129cbd8

4314483672 has 64 divisors (see below), whose sum is σ = 11404195200. Its totient is φ = 1356433920.

The previous prime is 4314483629. The next prime is 4314483707. The reversal of 4314483672 is 2763844134.

It is a super-2 number, since 2×43144836722 = 37229538711909207168, which contains 22 as substring.

It is a congruent number.

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, 82672 + ... + 124352.

It is an arithmetic number, because the mean of its divisors is an integer number (178190550).

Almost surely, 24314483672 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 4314483672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702097600).

4314483672 is an abundant number, since it is smaller than the sum of its proper divisors (7089711528).

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

4314483672 is a wasteful number, since it uses less digits than its factorization.

4314483672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41936 (or 41932 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 4314483672 is about 65684.7293668780. The cubic root of 4314483672 is about 1627.9570516312.

The spelling of 4314483672 in words is "four billion, three hundred fourteen million, four hundred eighty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 227 228 454 456 681 908 1362 1816 2724 4313 5448 8626 12939 17252 25878 34504 41681 51756 83362 103512 125043 166724 250086 333448 500172 791939 1000344 1583878 2375817 3167756 4751634 6335512 9461587 9503268 18923174 19006536 28384761 37846348 56769522 75692696 113539044 179770153 227078088 359540306 539310459 719080612 1078620918 1438161224 2157241836 4314483672