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4312104216 = 2337233135999
BaseRepresentation
bin1000000010000010…
…10111110100011000
3102010111222120221120
410001001113310120
532312344313331
61551515205240
7211600165260
oct40101276430
912114876846
104312104216
1119130857a2
12a04146820
13539499a74
142cc9987a0
151a3875796
hex101057d18

4312104216 has 128 divisors (see below), whose sum is σ = 13271040000. Its totient is φ = 1140416640.

The previous prime is 4312104187. The next prime is 4312104217. The reversal of 4312104216 is 6124012134.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4312104217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101785 + ... + 137783.

It is an arithmetic number, because the mean of its divisors is an integer number (103680000).

Almost surely, 24312104216 is an apocalyptic number.

4312104216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312104216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635520000).

4312104216 is an abundant number, since it is smaller than the sum of its proper divisors (8958935784).

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

4312104216 is a wasteful number, since it uses less digits than its factorization.

4312104216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36069 (or 36065 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4312104216 is about 65666.6141657997. The cubic root of 4312104216 is about 1627.6577215298.

The spelling of 4312104216 in words is "four billion, three hundred twelve million, one hundred four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 31 42 46 56 62 69 84 92 93 124 138 161 168 184 186 217 248 276 322 372 434 483 552 644 651 713 744 868 966 1288 1302 1426 1736 1932 2139 2604 2852 3864 4278 4991 5208 5704 8556 9982 14973 17112 19964 29946 35999 39928 59892 71998 107997 119784 143996 215994 251993 287992 431988 503986 755979 827977 863976 1007972 1115969 1511958 1655954 2015944 2231938 2483931 3023916 3311908 3347907 4463876 4967862 5795839 6047832 6623816 6695814 7811783 8927752 9935724 11591678 13391628 15623566 17387517 19871448 23183356 23435349 25667287 26783256 31247132 34775034 46366712 46870698 51334574 62494264 69550068 77001861 93741396 102669148 139100136 154003722 179671009 187482792 205338296 308007444 359342018 539013027 616014888 718684036 1078026054 1437368072 2156052108 4312104216