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3105522144 = 2532101241443
BaseRepresentation
bin1011100100011010…
…1000000111100000
322000102120212111200
42321012220013200
522330003202034
61232054041200
7136646334264
oct27106500740
98012525450
103105522144
111353a9382a
12728049200
133a650c68a
142166340a4
15132989a99
hexb91a81e0

3105522144 has 144 divisors (see below), whose sum is σ = 8975991024. Its totient is φ = 1018368000.

The previous prime is 3105522143. The next prime is 3105522193. The reversal of 3105522144 is 4412255013.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105522143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7009987 + ... + 7010429.

It is an arithmetic number, because the mean of its divisors is an integer number (62333271).

Almost surely, 23105522144 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 3105522144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487995512).

3105522144 is an abundant number, since it is smaller than the sum of its proper divisors (5870468880).

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

3105522144 is a wasteful number, since it uses less digits than its factorization.

3105522144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3105522144 is about 55727.2118807320. The cubic root of 3105522144 is about 1458.9650111410.

Adding to 3105522144 its reverse (4412255013), we get a palindrome (7517777157).

The spelling of 3105522144 in words is "three billion, one hundred five million, five hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 241 288 303 404 443 482 606 723 808 886 909 964 1212 1329 1446 1616 1772 1818 1928 2169 2424 2658 2892 3232 3544 3636 3856 3987 4338 4848 5316 5784 7088 7272 7712 7974 8676 9696 10632 11568 14176 14544 15948 17352 21264 23136 24341 29088 31896 34704 42528 44743 48682 63792 69408 73023 89486 97364 106763 127584 134229 146046 178972 194728 213526 219069 268458 292092 320289 357944 389456 402687 427052 438138 536916 584184 640578 715888 778912 805374 854104 876276 960867 1073832 1168368 1281156 1431776 1610748 1708208 1752552 1921734 2147664 2336736 2562312 3221496 3416416 3505104 3843468 4295328 5124624 6442992 7010208 7686936 10249248 10783063 12885984 15373872 21566126 30747744 32349189 43132252 64698378 86264504 97047567 129396756 172529008 194095134 258793512 345058016 388190268 517587024 776380536 1035174048 1552761072 3105522144