45820013972040
45,820,013,972,040 is an even composite number composed of seven prime numbers multiplied together.
45820013972040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 45820013972040:
23 × 313 × 5 × 72 × 11 × 31 × 43
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 11 × 31 × 43)See below for interesting mathematical facts about the number 45820013972040 from the Numbermatics database.
Names of 45820013972040
- Cardinal: 45820013972040 can be written as Forty-five trillion, eight hundred twenty billion, thirteen million, nine hundred seventy-two thousand and forty.
Scientific notation
- Scientific notation: 4.582001397204 × 1013
Factors of 45820013972040
Divisors of 45820013972040
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 27 28 30 31 33 35 36 40 42 43 44 45 49 54 55 56 60 62 63 66 70 72 77 81 84 86 88 90 93 98 99 105 108 110 120 124 126 129 132 135 140 147 154 155 162 165 168 172 180 186 189 196 198 210 215 216 217 220 231 243 245 248 252 258 264 270 279 280 294 297 301 308 310 315 324 330 341 344 360 372 378 385 387 392 396 405 420 430 434 440 441 462 465 473 486 490 495 504 516 539 540 558 567 588 594 602 616 620 630 645 648 651 660 682 693 729 735 744 756 770 774 792 810 837 840 860 868 882 891 903 924 930 945 946 972 980 990 1023 1032 1078 1080 1085 1116 1134 1155 1161 1176 1188 1204 1215 1240 1260 1290 1302 1320 1323 1333 1364 1386 1395 1419 1458 1470 1485 1505 1512 1519 1540 1548 1617 1620 1674 1701 1705 1720 1736 1764 1782 1806 1848 1860 1890 1892 1935 1944 1953 1960 1980 2046 2079 2107 2156 2170 2187 2205 2232 2268 2310 2322 2365 2376 2387 2408 2430 2511 2520 2580 2604 2646 2666 2673 2695 2709 2728 2772 2790 2835 2838 2916 2940 2970 3010 3038 3069 3080 3096 3234 3240 3255 3311 3348 3402 3410 3465 3483 3528 3564 3612 3645 3720 3780 3784 3870 3906 3960 3969 3999 4092 4158 4185 4214 4257 4312 4340 4374 4410 4455 4515 4536 4557 4620 4644 4730 4774 4851 4860 5022 5103 5115 5160 5208 5292 5332 5346 5390 5418 5544 5580 5670 5676 5805 5832 5859 5880 5940 6020 6076 6138 6237 6321 6468 6510 6561 6615 6622 6665 6696 6804 6820 6930 6966 7095 7128 7161 7224 7290 7533 7560 7595 7740 7812 7938 7998 8019 8085 8127 8184 8316 8370 8428 8505 8514 8680 8748 8820 8910 9030 9114 9207 9240 9288 9331 9460 9548 9702 9720 9765 9933 10044 10206 10230 10395 10449 10535 10584 10664 10692 10780 10836 10935 11160 11340 11352 11610 11718 11880 11907 11935 11997 12040 12152 12276 12474 12555 12642 12771 12936 13020 13122 13230 13244 13330 13365 13545 13608 13640 13671 13860 13932 14190 14322 14553 14580 14663 15066 15190 15309 15345 15480 15624 15876 15996 16038 16170 16254 16555 16632 16709 16740 16856 17010 17028 17415 17496 17577 17640 17820 18060 18228 18414 18662 18711 18920 18963 19096 19404 19530 19683 19845 19866 19995 20088 20412 20460 20790 20898 21070 21285 21384 21483 21560 21672 21870 22599 22680 22785 23177 23220 23436 23814 23870 23994 24057 24255 24381 24552 24948 25110 25284 25515 25542 26040 26244 26460 26488 26660 26730 27090 27342 27621 27720 27864 27993 28380 28644 29106 29160 29295 29326 29799 30132 30380 30618 30690 31185 31347 31605 31752 31992 32076 32340 32508 32805 33110 33418 33480 34020 34056 34830 35154 35640 35721 35805 35991 36120 36456 36828 37324 37422 37665 37926 38313 38808 39060 39366 39690 39732 39990 40095 40635 40824 40920 41013 41580 41796 42140 42570 42966 43659 43740 43989 45198 45570 45927 46035 46354 46440 46655 46872 47628 47740 47988 48114 48510 48762 49665 49896 50127 50220 50568 51030 51084 52245 52488 52731 52920 53320 53460 54180 54684 55242 55986 56133 56760 56889 57288 58212 58590 58652 59049 59535 59598 59985 60264 60760 61236 61380 62370 62694 63210 63855 64152 64449 64680 65016 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28336434120 29599492230 29753255826 30164591160 30304242045 30445192008 30855228264 31170077532 31426621380 32290355160 32845888152 33059173140 33592385610 34373603880 34633419480 34712131797 35192023020 35519390676 36365090454 36951624171 37711945656 38056490010 38569035330 38962596915 39465989640 39671007768 40405656060 41057360190 42230427624 42425938863 42504651180 44399238345 44789847480 46282842396 46755116298 47139932070 48435532740 48486787272 49268832228 49588759710 50741986680 51425380440 51950129220 52788034530 53279086014 54547635681 54743146920 56567918484 57853552995 59198984460 59506511652 60608484090 61586040285 62340155064 62853242760 66118346280 67184771220 69424263594 70384046040 70709898105 71038781352 72730180908 73903248342 74383139565 76112980020 77138070660 77925193830 80811312120 82114720380 84851877726 85009302360 88798476690 90912726135 92565684792 93510232596 94279864140 96871065480 98537664456 99177519420 103900258440 104136395391 105576069060 106558172028 109095271362 113135836968 115707105990 116887790745 118397968920 119013023304 121216968180 123172080570 127277816589 133197715035 134369542440 138848527188 141419796210 145460361816 147806496684 148766279130 152225960040 154276141320 155850387660 163642907043 164229440760 169703755452 173560658985 177596953380 181825452270 184758120855 187020465192 188559728280 198355038840 208272790782 211152138120 212129694315 213116344056 218190542724 231414211980 233775581490 242433936360 246344161140 254555633178 266395430070 272738178405 277697054376 282839592420 295612993368 297532558260 311700775320 327285814086 339407510904 347121317970 355193906760 363650904540 369516241710 381833449767 416545581564 424259388630 436381085448 462828423960 467551162980 492688322280 509111266356 520681976955 532790860140 545476356810 565679184840 595065116520 636389082945 654571628172 694242635940 727301809080 739032483420 763666899534 818214535215 833091163128 848518777260 935102325960 1018222532712 1041363953910 1065581720280 1090952713620 1145500349301 1272778165890 1309143256344 1388485271880 1478064966840 1527333799068 1636429070430 1697037554520 1909167248835 2082727907820 2181905427240 2291000698602 2545556331780 3054667598136 3272858140860 3818334497670 4165455815640 4582001397204 5091112663560 5727501746505 6545716281720 7636668995340 9164002794408 11455003493010 15273337990680 22910006986020 45820013972040
- Sum of all divisors σ(n): 207285415096320
- Sum of proper divisors (its aliquot sum) s(n): 161465401124280
- 45820013972040 is an abundant number, because the sum of its proper divisors (161465401124280) is greater than itself. Its abundance is 115645387152240
Bases of 45820013972040
- Binary: 10100110101100010011011010100000001010010010002
- Hexadecimal: 0x29AC4DA80A48
- Base-36: G8PF9A4I0
Squares and roots of 45820013972040
- 45820013972040 squared (458200139720402) is 2099473680397940817901761600
- 45820013972040 cubed (458200139720403) is 96197913369763889743503741868129145664000
-
The
square root of 45820013972040 is 6769048.2323617697 -
The
cube root of 45820013972040 is 35783.6858482637
Scales and comparisons
How big is 45820013972040?- 45,820,013,972,040 seconds is equal to 1,456,934 years, 37 weeks, 18 hours, 54 minutes.
-
To count from 1 to 45,820,013,972,040 would take you about three million, six hundred forty-two thousand, three hundred thirty-six 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 45820013972040 cubic inches would be around 2982 feet tall.
Recreational maths with 45820013972040
- 45820013972040 backwards is 04027931002854
- 45820013972040 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 45820013972040's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 45820013972040 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 45820013972040 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/45820013972040/
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The information we have on file for 45820013972040 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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