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3130222341144 = 2332326334961781
BaseRepresentation
bin101101100011001111110…
…010100110110000011000
3102002020122120120121210010
4231203033302212300120
5402241143404404034
610354000532121520
7442102553615253
oct55431762466030
912066576517703
103130222341144
11aa75799a8018
124267a91662a0
131992427b1932
14ab709b1c09a
1556656d763e9
hex2d8cfca6c18

3130222341144 has 128 divisors (see below), whose sum is σ = 8220465792000. Its totient is φ = 991382177280.

The previous prime is 3130222341137. The next prime is 3130222341163. The reversal of 3130222341144 is 4411432220313.

3130222341144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50635534 + ... + 50697314.

It is an arithmetic number, because the mean of its divisors is an integer number (64222389000).

Almost surely, 23130222341144 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 3130222341144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110232896000).

3130222341144 is an abundant number, since it is smaller than the sum of its proper divisors (5090243450856).

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

3130222341144 is a wasteful number, since it uses less digits than its factorization.

3130222341144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62425 (or 62421 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 3130222341144 its reverse (4411432220313), we get a palindrome (7541654561457).

The spelling of 3130222341144 in words is "three trillion, one hundred thirty billion, two hundred twenty-two million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 263 276 349 526 552 698 789 1047 1052 1396 1578 2094 2104 2792 3156 4188 6049 6312 8027 8376 12098 16054 18147 24081 24196 32108 36294 48162 48392 61781 64216 72588 91787 96324 123562 145176 183574 185343 192648 247124 275361 367148 370686 494248 550722 734296 741372 1101444 1420963 1482744 2111101 2202888 2841926 4222202 4262889 5683852 6333303 8444404 8525778 11367704 12666606 16248403 16888808 17051556 21561569 25333212 32496806 34103112 43123138 48745209 50666424 64684707 64993612 86246276 97490418 129369414 129987224 172492552 194980836 258738828 373713269 389961672 495916087 517477656 747426538 991832174 1121139807 1487748261 1494853076 1983664348 2242279614 2975496522 2989706152 3967328696 4484559228 5670692647 5950993044 8969118456 11341385294 11901986088 17012077941 22682770588 34024155882 45365541176 68048311764 130425930881 136096623528 260851861762 391277792643 521703723524 782555585286 1043407447048 1565111170572 3130222341144