468730071040
468,730,071,040 is an even composite number composed of five prime numbers multiplied together.
468730071040 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 468730071040:
211 × 5 × 7 × 113 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 11 × 11 × 17 × 17 × 17)See below for interesting mathematical facts about the number 468730071040 from the Numbermatics database.
Names of 468730071040
- Cardinal: 468730071040 can be written as Four hundred sixty-eight billion, seven hundred thirty million, seventy-one thousand and forty.
Scientific notation
- Scientific notation: 4.6873007104 × 1011
Factors of 468730071040
Divisors of 468730071040
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 28 32 34 35 40 44 55 56 64 68 70 77 80 85 88 110 112 119 121 128 136 140 154 160 170 176 187 220 224 238 242 256 272 280 289 308 320 340 352 374 385 440 448 476 484 512 544 560 578 595 605 616 640 680 704 748 770 847 880 896 935 952 968 1024 1088 1120 1156 1190 1210 1232 1280 1309 1331 1360 1408 1445 1496 1540 1694 1760 1792 1870 1904 1936 2023 2048 2057 2176 2240 2312 2380 2420 2464 2560 2618 2662 2720 2816 2890 2992 3080 3179 3388 3520 3584 3740 3808 3872 4046 4114 4235 4352 4480 4624 4760 4840 4913 4928 5120 5236 5324 5440 5632 5780 5984 6160 6358 6545 6655 6776 7040 7168 7480 7616 7744 8092 8228 8470 8704 8960 9248 9317 9520 9680 9826 9856 10115 10240 10285 10472 10648 10880 11264 11560 11968 12320 12716 13090 13310 13552 14080 14336 14399 14960 15232 15488 15895 16184 16456 16940 17408 17920 18496 18634 19040 19360 19652 19712 20230 20570 20944 21296 21760 22253 22528 22627 23120 23936 24565 24640 25432 26180 26620 27104 28160 28798 29920 30464 30976 31790 32368 32912 33880 34391 34816 34969 35840 36992 37268 38080 38720 39304 39424 40460 41140 41888 42592 43520 44506 45254 46240 46585 47872 49130 49280 50864 52360 53240 54043 54208 56320 57596 59840 60928 61952 63580 64736 65824 67760 68782 69938 71680 71995 73984 74536 76160 77440 78608 78848 80920 82280 83776 85184 87040 89012 90508 92480 93170 95744 98260 98560 101728 104720 106480 108086 108416 111265 112640 113135 115192 119680 121856 123904 127160 129472 131648 135520 137564 139876 143990 147968 149072 152320 154880 157216 157696 158389 161840 164560 167552 170368 171955 174080 174845 178024 181016 184960 186340 191488 196520 197120 203456 209440 212960 216172 216832 222530 226270 230384 239360 243712 244783 247808 254320 258944 263296 270215 271040 275128 279752 287980 295936 298144 304640 309760 314432 316778 323680 329120 335104 340736 343910 349690 356048 362032 369920 372680 378301 382976 384659 393040 394240 406912 418880 425920 432344 433664 445060 452540 460768 478720 489566 508640 517888 526592 540430 542080 550256 559504 575960 591872 594473 596288 609280 619520 628864 633556 647360 658240 670208 681472 687820 699380 712096 724064 739840 745360 756602 769318 786080 788480 791945 813824 837760 851840 864688 867328 890120 905080 921536 957440 979132 1017280 1035776 1053184 1080860 1084160 1100512 1119008 1151920 1188946 1192576 1218560 1223915 1239040 1257728 1267112 1294720 1316480 1340416 1362944 1375640 1398760 1424192 1448128 1479680 1490720 1513204 1538636 1572160 1583890 1627648 1675520 1703680 1729376 1734656 1780240 1810160 1843072 1891505 1914880 1923295 1958264 2034560 2071552 2106368 2161720 2168320 2201024 2238016 2303840 2377892 2385152 2447830 2515456 2534224 2589440 2632960 2680832 2692613 2725888 2751280 2797520 2848384 2896256 2959360 2972365 2981440 3026408 3077272 3144320 3167780 3255296 3351040 3407360 3458752 3560480 3620320 3686144 3783010 3846590 3916528 4069120 4143104 4161311 4212736 4323440 4336640 4402048 4476032 4607680 4755784 4770304 4895660 5030912 5068448 5178880 5265920 5385226 5502560 5595040 5696768 5792512 5944730 5962880 6052816 6154544 6288640 6335560 6510592 6539203 6702080 6814720 6917504 7120960 7240640 7372288 7566020 7693180 7833056 8138240 8322622 8646880 8673280 8804096 8952064 9215360 9511568 9540608 9791320 10061824 10136896 10357760 10531840 10770452 11005120 11190080 11393536 11585024 11889460 11925760 12105632 12309088 12577280 12671120 13078406 13404160 13463065 13629440 13835008 14241920 14481280 14744576 15132040 15386360 15666112 16276480 16645244 17293760 17608192 17904128 18430720 19023136 19081216 19582640 20273792 20715520 20806555 21063680 21540904 22010240 22380160 22787072 23170048 23778920 23851520 24211264 24618176 25154560 25342240 26156812 26926130 27670016 28483840 28962560 29489152 30264080 30772720 31332224 32552960 32696015 33290488 34587520 35216384 35808256 36861440 38046272 39165280 40547584 41613110 43081808 44020480 44760320 45574144 45774421 46340096 47557840 47703040 48422528 49236352 50309120 50684480 52313624 53852260 55340032 56967680 57925120 60528160 61545440 62664448 65392030 66580976 69175040 70432768 71616512 73722880 76092544 78330560 81095168 83226220 86163616 88040960 89520640 91548842 95115680 95406080 96845056 98472704 101368960 104627248 107704520 110680064 113935360 115850240 121056320 123090880 125328896 130784060 133161952 138350080 147445760 152185088 156661120 162190336 166452440 172327232 176081920 179041280 183097684 190231360 193690112 196945408 202737920 209254496 215409040 227870720 228872105 231700480 242112640 246181760 250657792 261568120 266323904 276700160 304370176 313322240 324380672 332904880 344654464 352163840 358082560 366195368 380462720 387380224 393890816 405475840 418508992 430818080 457744210 484225280 492363520 501315584 523136240 532647808 553400320 608740352 626644480 665809760 689308928 732390736 760925440 774760448 787781632 810951680 837017984 861636160 915488420 968450560 984727040 1046272480 1065295616 1217480704 1253288960 1331619520 1378617856 1464781472 1521850880 1621903360 1674035968 1723272320 1830976840 1936901120 1969454080 2092544960 2130591232 2506577920 2663239040 2757235712 2929562944 3043701760 3348071936 3446544640 3661953680 3873802240 3938908160 4185089920 4261182464 5326478080 5514471424 5859125888 6087403520 6696143872 6893089280 7323907360 8370179840 8522364928 10652956160 11718251776 13392287744 13786178560 14647814720 16740359680 21305912320 23436503552 27572357120 29295629440 33480719360 42611824640 46873007104 58591258880 66961438720 93746014208 117182517760 234365035520 468730071040
- Sum of all divisors σ(n): 1502127244800
- Sum of proper divisors (its aliquot sum) s(n): 1033397173760
- 468730071040 is an abundant number, because the sum of its proper divisors (1033397173760) is greater than itself. Its abundance is 564667102720
Bases of 468730071040
- Binary: 1101101001000100111110101001000000000002
- Hexadecimal: 0x6D227D4800
- Base-36: 5ZBXS5J4
Squares and roots of 468730071040
- 468730071040 squared (4687300710402) is 219707879497163446681600
- 468730071040 cubed (4687300710403) is 102983689964753181841557620260864000
-
The
square root of 468730071040 is 684638.6426721763 -
The
cube root of 468730071040 is 7767.9711763693
Scales and comparisons
How big is 468730071040?- 468,730,071,040 seconds is equal to 14,904 years, 8 weeks, 4 days, 13 hours, 30 minutes, 40 seconds.
-
To count from 1 to 468,730,071,040 would take you about twenty-nine thousand, eight hundred eight 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 468730071040 cubic inches would be around 647.3 feet tall.
Recreational maths with 468730071040
- 468730071040 backwards is 040170037864
- 468730071040 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 468730071040's digits is 40
- More coming soon!
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The information we have on file for 468730071040 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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