5006338172023760
5,006,338,172,023,760 is an even composite number composed of seven prime numbers multiplied together.
5006338172023760 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 5006338172023760:
24 × 5 × 114 × 132 × 17 × 293 × 61
(2 × 2 × 2 × 2 × 5 × 11 × 11 × 11 × 11 × 13 × 13 × 17 × 29 × 29 × 29 × 61)See below for interesting mathematical facts about the number 5006338172023760 from the Numbermatics database.
Names of 5006338172023760
- Cardinal: 5006338172023760 can be written as Five quadrillion, six trillion, three hundred thirty-eight billion, one hundred seventy-two million, twenty-three thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 5.00633817202376 × 1015
Factors of 5006338172023760
Divisors of 5006338172023760
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 20 22 26 29 34 40 44 52 55 58 61 65 68 80 85 88 104 110 116 121 122 130 136 143 145 169 170 176 187 208 220 221 232 242 244 260 272 286 290 305 319 338 340 374 377 440 442 464 484 488 493 520 572 580 605 610 638 671 676 680 715 748 754 793 841 845 880 884 935 968 976 986 1037 1040 1105 1144 1160 1210 1220 1276 1331 1342 1352 1360 1430 1496 1508 1573 1586 1595 1682 1690 1768 1769 1859 1870 1885 1936 1972 2057 2074 2210 2288 2320 2420 2431 2440 2465 2552 2662 2684 2704 2860 2873 2992 3016 3146 3172 3190 3355 3364 3380 3509 3536 3538 3718 3740 3770 3944 3965 4114 4147 4148 4205 4420 4840 4862 4880 4901 4930 5104 5185 5324 5368 5423 5720 5746 6032 6292 6344 6380 6409 6655 6710 6728 6760 7018 7076 7381 7436 7480 7540 7865 7888 7930 8228 8294 8296 8410 8723 8840 8845 9251 9295 9680 9724 9802 9860 10285 10309 10370 10648 10736 10846 10933 11407 11440 11492 12155 12584 12688 12760 12818 13310 13420 13456 13481 13520 14036 14152 14297 14365 14641 14762 14872 14960 15080 15730 15860 16456 16588 16592 16820 17303 17446 17545 17680 17690 18502 18590 19448 19459 19604 19720 20449 20570 20618 20735 20740 21296 21692 21866 22627 22814 22984 22997 24310 24389 24505 25168 25520 25636 26620 26741 26840 26962 27115 28072 28304 28594 28730 29282 29524 29744 30073 30160 31460 31603 31720 32045 32912 33176 33640 34606 34892 35090 35380 36905 37004 37180 38599 38896 38918 39208 39440 40898 41140 41236 41470 41480 43384 43615 43732 45254 45617 45628 45968 45994 46255 48620 48778 49010 51272 51301 51545 53240 53482 53680 53911 53924 54230 54665 56144 57035 57188 57460 58564 59048 59653 60146 62920 63206 63440 64090 66352 67280 67405 69212 69784 70180 70499 70760 71485 73205 73810 74008 74360 77198 77836 78416 81191 81796 82280 82472 82940 82960 83317 86515 86768 87230 87464 90508 91234 91256 91988 92510 95953 97240 97295 97556 98020 101761 102245 102544 102602 103090 106480 106964 107822 107848 108460 109330 113135 113399 114070 114376 114920 114985 117128 118096 119306 120263 120292 121945 125477 125840 126412 128180 133705 134810 138424 139568 140360 140998 141520 142129 142970 146410 147620 148016 148291 148720 150365 154396 155672 157267 158015 162382 163592 164560 164944 165880 166634 173030 174460 174928 175253 181016 182468 182512 183976 185020 185861 190333 191906 192995 194480 194590 195112 196040 203522 204490 205204 206180 213928 214049 215644 215696 216920 218660 224939 226270 226798 228085 228140 228752 229840 229970 234256 238612 240526 240584 243890 248897 250954 252824 252967 256360 256505 267410 268279 269555 269620 276848 280720 281996 284258 285940 292820 294151 295240 296582 298265 298961 300730 308792 311344 314534 316030 317057 324764 327184 330803 331760 333268 346060 347633 348920 350506 352495 362032 364936 367952 370040 371722 380666 383812 385990 389180 390224 390949 392080 405955 407044 408980 410408 412360 414613 416585 424589 427856 428098 431288 433840 437320 449878 452540 453596 456170 456280 459940 477224 479765 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663970579844 669296547062 673256881660 678273698960 707509634260 713356821320 740582569826 744104960170 746101068856 752267193392 781141858640 784692503452 789145361290 795667223780 829963224805 871273611560 875233946158 923167651120 932626336070 940333991740 965542559696 980865629315 1015484416232 1021493199760 1025888969677 1029686995480 1034367390914 1132655695028 1190567936272 1206928199620 1207219236080 1216902812840 1262632578064 1269355520290 1327941159688 1338593094124 1346513763320 1415019268520 1415819618785 1426713642640 1481165139652 1488209920340 1492202137712 1569385006904 1578290722580 1591334447560 1659926449610 1673241367655 1742547223120 1750467892316 1851456424565 1865252672140 1880667983480 1961731258630 2030968832464 2051777939354 2059373990960 2068734781828 2157904384493 2188084865395 2265311390056 2413856399240 2433805625680 2538711040580 2585918477285 2655882319376 2677186188248 2693027526640 2830038537040 2831639237570 2962330279304 2976419840680 3138770013808 3156581445160 3182668895120 3319852899220 3346482735310 3500935784632 3681131008841 3702912849130 3730505344280 3761335966960 3923462517260 4103555878708 4137469563656 4315808768986 4376169730790 4530622780112 4813786703869 4827712798480 5077422081160 5129444848385 5171836954570 5354372376496 5663278475140 5689020650027 5924660558608 5952839681360 6313162890320 6639705798440 6692965470620 7001871569264 7362262017682 7405825698260 7461010688560 7846925034520 8207111757416 8274939127312 8631617537972 8752339461580 9627573407738 10154844162320 10258889696770 10343673909140 10789521922465 11326556950280 11378041300054 13279411596880 13385930941240 14724524035364 14811651396520 15693850069040 16414223514832 17263235075944 17504678923160 18405655044205 19255146815476 20517779393540 20687347818280 21579043844930 22653113900560 22756082600108 24068933519345 26771861882480 28445103250135 29449048070728 29623302793040 34526470151888 35009357846320 36811310088410 38510293630952 41035558787080 41374695636560 43158087689860 45512165200216 48137867038690 56890206500270 58898096141456 62579227150297 73622620176820 77020587261904 82071117574160 86316175379720 91024330400432 96275734077380 113780413000540 125158454300594 147245240353640 172632350759440 192551468154760 227560826001080 250316908601188 294490480707280 312896135751485 385102936309520 455121652002160 500633817202376 625792271502970 1001267634404752 1251584543005940 2503169086011880 5006338172023760
- Sum of all divisors σ(n): 15453338007218400
- Sum of proper divisors (its aliquot sum) s(n): 10446999835194640
- 5006338172023760 is an abundant number, because the sum of its proper divisors (10446999835194640) is greater than itself. Its abundance is 5440661663170880
Bases of 5006338172023760
- Binary: 100011100100100111100111100000101111001110011110100002
- Hexadecimal: 0x11C93CF05E73D0
- Base-36: 1DALK07SV68
Squares and roots of 5006338172023760
- 5006338172023760 squared (50063381720237602) is 25063421892662202773934004537600
- 5006338172023760 cubed (50063381720237603) is 125475965742770779352919747463316761215013376000
-
The
square root of 5006338172023760 is 70755481.5687361427 -
The
cube root of 5006338172023760 is 171069.8183032495
Scales and comparisons
How big is 5006338172023760?- 5,006,338,172,023,760 seconds is equal to 159,186,068 years, 12 weeks, 6 days, 20 hours, 49 minutes, 20 seconds.
-
To count from 1 to 5,006,338,172,023,760 would take you about four hundred seventy-seven million, five hundred fifty-eight thousand, two hundred four 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 5006338172023760 cubic inches would be around 14255.8 feet tall.
Recreational maths with 5006338172023760
- 5006338172023760 backwards is 0673202718336005
- The number of decimal digits it has is: 16
- The sum of 5006338172023760's digits is 53
- More coming soon!
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"Number 5006338172023760 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 5006338172023760 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/5006338172023760/
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The information we have on file for 5006338172023760 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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