1328812038144
1,328,812,038,144 is an even composite number composed of five prime numbers multiplied together.
1328812038144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 1328812038144:
211 × 33 × 53 × 61 × 7433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 53 × 61 × 7433)See below for interesting mathematical facts about the number 1328812038144 from the Numbermatics database.
Names of 1328812038144
- Cardinal: 1328812038144 can be written as One trillion, three hundred twenty-eight billion, eight hundred twelve million, thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.328812038144 × 1012
Factors of 1328812038144
Divisors of 1328812038144
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 61 64 72 96 106 108 122 128 144 159 183 192 212 216 244 256 288 318 366 384 424 432 477 488 512 549 576 636 732 768 848 864 954 976 1024 1098 1152 1272 1431 1464 1536 1647 1696 1728 1908 1952 2048 2196 2304 2544 2862 2928 3072 3233 3294 3392 3456 3816 3904 4392 4608 5088 5724 5856 6144 6466 6588 6784 6912 7433 7632 7808 8784 9216 9699 10176 11448 11712 12932 13176 13568 13824 14866 15264 15616 17568 18432 19398 20352 22299 22896 23424 25864 26352 27136 27648 29097 29732 30528 31232 35136 38796 40704 44598 45792 46848 51728 52704 54272 55296 58194 59464 61056 62464 66897 70272 77592 81408 87291 89196 91584 93696 103456 105408 108544 116388 118928 122112 124928 133794 140544 155184 162816 174582 178392 183168 187392 200691 206912 210816 232776 237856 244224 267588 281088 310368 325632 349164 356784 366336 374784 393949 401382 413824 421632 453413 465552 475712 488448 535176 562176 620736 698328 713568 732672 787898 802764 827648 843264 906826 931104 951424 976896 1070352 1124352 1181847 1241472 1360239 1396656 1427136 1465344 1575796 1605528 1655296 1686528 1813652 1862208 1902848 2140704 2363694 2482944 2720478 2793312 2854272 2930688 3151592 3211056 3310592 3373056 3545541 3627304 3724416 3805696 4080717 4281408 4727388 4965888 5440956 5586624 5708544 6303184 6422112 6621184 7091082 7254608 7448832 7611392 8161434 8562816 9454776 9931776 10636623 10881912 11173248 11417088 12242151 12606368 12844224 14182164 14509216 14897664 15222784 16322868 17125632 18909552 19863552 21273246 21763824 22346496 22834176 24030889 24484302 25212736 25688448 28364328 29018432 29795328 32645736 34251264 37819104 42546492 43527648 44692992 45668352 48061778 48968604 50425472 51376896 56728656 58036864 59590656 65291472 68502528 72092667 75638208 85092984 87055296 89385984 96123556 97937208 100850944 102753792 113457312 116073728 130582944 137005056 144185334 151276416 170185968 174110592 178771968 192247112 195874416 201701888 205507584 216278001 226914624 232147456 261165888 288370668 302552832 340371936 348221184 384494224 391748832 403403776 411015168 432556002 453829248 464294912 522331776 576741336 605105664 648834003 680743872 696442368 768988448 783497664 806807552 865112004 907658496 928589824 1044663552 1153482672 1210211328 1297668006 1361487744 1392884736 1537976896 1566995328 1730224008 1815316992 2089327104 2306965344 2420422656 2595336012 2722975488 2785769472 3075953792 3133990656 3460448016 3630633984 4178654208 4613930688 5190672024 5445950976 6151907584 6267981312 6920896032 7261267968 8357308416 9227861376 10381344048 10891901952 12303815168 12535962624 13841792064 18455722752 20762688096 21783803904 24607630336 25071925248 27683584128 36911445504 41525376192 49215260672 55367168256 73822891008 83050752384 110734336512 147645782016 166101504768 221468673024 332203009536 442937346048 664406019072 1328812038144
- Sum of all divisors σ(n): 4076823441600
- Sum of proper divisors (its aliquot sum) s(n): 2748011403456
- 1328812038144 is an abundant number, because the sum of its proper divisors (2748011403456) is greater than itself. Its abundance is 1419199365312
Bases of 1328812038144
- Binary: 100110101011000110101111010011000000000002
- Hexadecimal: 0x135635E9800
- Base-36: GYG4DMO0
Squares and roots of 1328812038144
- 1328812038144 squared (13288120381442) is 1765741432716411310964736
- 1328812038144 cubed (13288120381443) is 2346338472043201156480465819070889984
-
The
square root of 1328812038144 is 1152741.0976207971 -
The
cube root of 1328812038144 is 10993.9692511173
Scales and comparisons
How big is 1328812038144?- 1,328,812,038,144 seconds is equal to 42,252 years, 5 weeks, 5 days, 23 hours, 2 minutes, 24 seconds.
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To count from 1 to 1,328,812,038,144 would take you about one hundred five thousand, six hundred thirty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 1328812038144 cubic inches would be around 916.2 feet tall.
Recreational maths with 1328812038144
- 1328812038144 backwards is 4418302188231
- The number of decimal digits it has is: 13
- The sum of 1328812038144's digits is 45
- More coming soon!
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