468123131840
468,123,131,840 is an even composite number composed of six prime numbers multiplied together.
468123131840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 468123131840:
26 × 5 × 7 × 132 × 29 × 42641
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 13 × 29 × 42641)See below for interesting mathematical facts about the number 468123131840 from the Numbermatics database.
Names of 468123131840
- Cardinal: 468123131840 can be written as Four hundred sixty-eight billion, one hundred twenty-three million, one hundred thirty-one thousand, eight hundred forty.
Scientific notation
- Scientific notation: 4.6812313184 × 1011
Factors of 468123131840
Divisors of 468123131840
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 29 32 35 40 52 56 58 64 65 70 80 91 104 112 116 130 140 145 160 169 182 203 208 224 232 260 280 290 320 338 364 377 406 416 448 455 464 520 560 580 676 728 754 812 832 845 910 928 1015 1040 1120 1160 1183 1352 1456 1508 1624 1690 1820 1856 1885 2030 2080 2240 2320 2366 2639 2704 2912 3016 3248 3380 3640 3770 4060 4160 4640 4732 4901 5278 5408 5824 5915 6032 6496 6760 7280 7540 8120 9280 9464 9802 10556 10816 11830 12064 12992 13195 13520 14560 15080 16240 18928 19604 21112 23660 24128 24505 26390 27040 29120 30160 32480 34307 37856 39208 42224 42641 47320 49010 52780 54080 60320 64960 68614 75712 78416 84448 85282 94640 98020 105560 120640 137228 156832 168896 170564 171535 189280 196040 211120 213205 274456 298487 313664 341128 343070 378560 392080 422240 426410 548912 554333 596974 682256 686140 784160 844480 852820 1097824 1108666 1193948 1236589 1364512 1372280 1492435 1568320 1705640 2195648 2217332 2387896 2473178 2729024 2744560 2771665 2984870 3411280 3880331 4434664 4775792 4946356 5489120 5543330 5969740 6182945 6822560 7206329 7760662 8656123 8869328 9551584 9892712 10978240 11086660 11939480 12365890 13645120 14412658 15521324 16075657 17312246 17738656 19103168 19401655 19785424 22173320 23878960 24731780 28825316 31042648 32151314 34624492 35477312 36031645 38803310 39570848 43280615 44346640 47757920 49463560 50444303 57650632 62085296 64302628 69248984 72063290 77606620 79141696 80378285 86561230 88693280 95515840 98927120 100888606 112529599 115301264 124170592 128605256 138497968 144126580 155213240 160756570 173122460 177386560 197854240 201777212 208983541 225059198 230602528 248341184 252221515 257210512 276995936 288253160 310426480 321513140 346244920 395708480 403554424 417967082 450118396 461205056 504443030 514421024 553991872 562647995 576506320 620852960 643026280 692489840 807108848 835934164 900236792 1008886060 1028842048 1044917705 1125295990 1153012640 1241705920 1286052560 1384979680 1462884787 1614217696 1671868328 1800473584 2017772120 2089835410 2250591980 2306025280 2572105120 2769959360 2925769574 3228435392 3343736656 3600947168 4035544240 4179670820 4501183960 5144210240 5851539148 6687473312 7201894336 7314423935 8071088480 8359341640 9002367920 11703078296 13374946624 14628847870 16142176960 16718683280 18004735840 23406156592 29257695740 33437366560 36009471680 46812313184 58515391480 66874733120 93624626368 117030782960 234061565920 468123131840
- Sum of all divisors σ(n): 1427101519680
- Sum of proper divisors (its aliquot sum) s(n): 958978387840
- 468123131840 is an abundant number, because the sum of its proper divisors (958978387840) is greater than itself. Its abundance is 490855256000
Bases of 468123131840
- Binary: 1101100111111100101000000011111110000002
- Hexadecimal: 0x6CFE501FC0
- Base-36: 5Z1WFC8W
Squares and roots of 468123131840
- 468123131840 squared (4681231318402) is 219139266563690021785600
- 468123131840 cubed (4681231318403) is 102584159772915167825232901013504000
-
The
square root of 468123131840 is 684195.2439472231 -
The
cube root of 468123131840 is 7764.6169198943
Scales and comparisons
How big is 468123131840?- 468,123,131,840 seconds is equal to 14,884 years, 45 weeks, 19 hours, 17 minutes, 20 seconds.
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To count from 1 to 468,123,131,840 would take you about twenty-nine thousand, seven hundred sixty-nine 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 468123131840 cubic inches would be around 647.1 feet tall.
Recreational maths with 468123131840
- 468123131840 backwards is 048131321864
- The number of decimal digits it has is: 12
- The sum of 468123131840's digits is 41
- More coming soon!
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