47145127680
47,145,127,680 is an even composite number composed of seven prime numbers multiplied together.
47145127680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 47145127680:
28 × 33 × 5 × 7 × 23 × 37 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 23 × 37 × 229)See below for interesting mathematical facts about the number 47145127680 from the Numbermatics database.
Names of 47145127680
- Cardinal: 47145127680 can be written as Forty-seven billion, one hundred forty-five million, one hundred twenty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.714512768 × 1010
Factors of 47145127680
Divisors of 47145127680
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 27 28 30 32 35 36 37 40 42 45 46 48 54 56 60 63 64 69 70 72 74 80 84 90 92 96 105 108 111 112 115 120 126 128 135 138 140 144 148 160 161 168 180 184 185 189 192 207 210 216 222 224 229 230 240 252 256 259 270 276 280 288 296 315 320 322 333 336 345 360 368 370 378 384 414 420 432 444 448 458 460 480 483 504 518 540 552 555 560 576 592 621 630 640 644 666 672 687 690 720 736 740 756 768 777 805 828 840 851 864 888 896 916 920 945 960 966 999 1008 1035 1036 1080 1104 1110 1120 1145 1152 1184 1242 1260 1280 1288 1295 1332 1344 1374 1380 1440 1449 1472 1480 1512 1554 1603 1610 1656 1665 1680 1702 1728 1776 1792 1832 1840 1890 1920 1932 1998 2016 2061 2070 2072 2160 2208 2220 2240 2290 2304 2331 2368 2415 2484 2520 2553 2576 2590 2664 2688 2748 2760 2880 2898 2944 2960 3024 3105 3108 3206 3220 3312 3330 3360 3404 3435 3456 3552 3664 3680 3780 3840 3864 3885 3996 4032 4122 4140 4144 4255 4320 4347 4416 4440 4480 4580 4662 4736 4809 4830 4968 4995 5040 5106 5152 5180 5267 5328 5376 5496 5520 5760 5796 5888 5920 5957 6048 6183 6210 6216 6412 6440 6624 6660 6720 6808 6870 6912 6993 7104 7245 7328 7360 7560 7659 7728 7770 7992 8015 8064 8244 8280 8288 8473 8510 8640 8694 8832 8880 8960 9160 9324 9472 9618 9660 9936 9990 10080 10212 10304 10305 10360 10534 10656 10992 11040 11520 11592 11655 11840 11914 12096 12366 12420 12432 12765 12824 12880 13248 13320 13440 13616 13740 13986 14208 14427 14490 14656 14720 15120 15318 15456 15540 15801 15984 16030 16128 16488 16560 16576 16946 17020 17280 17388 17664 17760 17871 18320 18648 19236 19320 19872 19980 20160 20424 20608 20610 20720 21068 21312 21735 21984 22080 22977 23184 23310 23680 23828 24045 24192 24732 24840 24864 25419 25530 25648 25760 26335 26496 26640 26880 27232 27480 27972 28416 28854 28980 29312 29440 29785 30240 30636 30912 30915 31080 31602 31968 32060 32976 33120 33152 33892 34040 34560 34776 34965 35520 35742 36640 36869 37296 38295 38472 38640 39744 39960 40320 40848 41216 41220 41440 42136 42365 42624 43281 43470 43968 44160 45954 46368 46620 47360 47403 47656 48090 48384 49464 49680 49728 50838 51060 51296 51520 52670 52992 53280 53613 54464 54960 55944 57708 57960 58624 59311 59570 60480 61272 61824 61830 62160 63204 63936 64120 65952 66240 66304 67784 68080 69552 69930 71040 71484 72135 73280 73738 74592 76257 76590 76944 77280 79005 79488 79920 80640 81696 82440 82880 84272 84730 85248 86562 86940 87936 88320 89355 91908 92736 93240 94806 95312 96180 98928 99360 99456 101676 102120 102592 103040 105340 106560 107226 108928 109920 110607 111888 114885 115416 115920 118622 119140 120960 122544 123648 123660 124320 126408 127095 127872 128240 131904 132480 135568 136160 139104 139860 142080 142209 142968 144270 146560 147476 149184 152514 153180 153888 154560 158010 158976 159840 160839 163392 164880 165760 168544 169460 173124 173880 175872 177933 178710 183816 184345 185472 186480 189612 190624 192360 194879 197856 198720 198912 203352 204240 205184 206080 210680 213120 214452 216405 217856 219840 221214 223776 228771 229770 230832 231840 237015 237244 238280 241920 245088 247320 248640 252816 254190 255744 256480 263808 264960 268065 271136 272320 278208 279720 284418 285936 288540 293120 294952 296555 298368 305028 306360 307776 309120 316020 319680 321678 326784 329760 331520 331821 337088 338920 346248 347760 355866 357420 367632 368690 370944 372960 379224 381248 381285 384720 389758 395712 397440 406704 408480 410368 421360 426240 428904 432810 439680 442428 447552 457542 459540 461664 463680 474030 474488 476560 490176 494640 497280 505632 508380 512960 527616 533799 536130 542272 544640 553035 556416 559440 568836 571872 577080 584637 589904 593110 596736 610056 612720 615552 618240 632040 639360 643356 653568 659520 663642 674176 677840 692496 695520 711045 711732 714840 735264 737380 745920 758448 762496 762570 769440 779516 791424 794880 804195 813408 816960 842720 857808 865620 879360 884856 889665 895104 915084 919080 923328 927360 948060 948976 953120 974395 980352 989280 994560 995463 1011264 1016760 1025920 1067598 1072260 1084544 1089280 1106070 1112832 1118880 1137672 1143744 1143855 1154160 1169274 1179808 1186220 1220112 1225440 1231104 1264080 1278720 1286712 1319040 1327284 1348352 1355680 1364153 1384992 1391040 1422090 1423464 1429680 1470528 1474760 1491840 1516896 1524992 1525140 1538880 1559032 1582848 1601397 1608390 1626816 1633920 1659105 1685440 1715616 1731240 1753911 1769712 1779330 1790208 1830168 1838160 1846656 1854720 1896120 1897952 1906240 1948790 1960704 1978560 1990926 2022528 2033520 2051840 2135196 2144520 2169088 2212140 2237760 2275344 2287488 2287710 2308320 2338548 2359616 2372440 2440224 2450880 2528160 2573424 2638080 2654568 2668995 2711360 2728306 2769984 2782080 2844180 2846928 2859360 2923185 2941056 2949520 2983680 3033792 3050280 3077760 3118064 3202794 3216780 3253632 3267840 3318210 3370880 3431232 3462480 3507822 3539424 3558660 3660336 3676320 3693312 3792240 3795904 3812480 3897580 3957120 3981852 4045056 4067040 4092459 4270392 4289040 4424280 4475520 4550688 4574976 4575420 4616640 4677096 4719232 4744880 4880448 4901760 4977315 5056320 5146848 5261733 5309136 5337990 5422720 5456612 5539968 5564160 5688360 5693856 5718720 5846370 5882112 5899040 6067584 6100560 6155520 6236128 6405588 6433560 6507264 6636420 6741760 6820765 6862464 6924960 7015644 7078848 7117320 7320672 7352640 7584480 7591808 7624960 7795160 7914240 7963704 8006985 8134080 8184918 8540784 8578080 8769555 8848560 8951040 9101376 9150840 9233280 9354192 9438464 9489760 9760896 9803520 9954630 10112640 10293696 10523466 10618272 10675980 10845440 10913224 11079936 11376720 11387712 11437440 11692740 11798080 12135168 12201120 12277377 12472256 12811176 12867120 13272840 13641530 13724928 13849920 14031288 14157696 14234640 14641344 14705280 15168960 15183616 15590320 15927408 16013970 16268160 16369836 17081568 17156160 17539110 17697120 18202752 18301680 18466560 18708384 18979520 19521792 19909260 20225280 20462295 20587392 21046932 21236544 21351960 21826448 22753440 22775424 22874880 23385480 23596160 24402240 24554754 24944512 25622352 25734240 26308665 26545680 27283060 27699840 28062576 28315392 28469280 29282688 29410560 30337920 31180640 31854816 32027940 32536320 32739672 34163136 34312320 35078220 35394240 36405504 36603360 36832131 37416768 37959040 39818520 40924590 41174784 42093864 42473088 42703920 43652896 45506880 45550848 46770960 47192320 48804480 49109508 49889024 51244704 51468480 52617330 53091360 54566120 55399680 56125152 56938560 58565376 60675840 61386885 62361280 63709632 64055880 65479344 68326272 68624640 70156440 70788480 73206720 73664262 74833536 75918080 79637040 81849180 84187728 84946176 85407840 87305792 91013760 93541920 97608960 98219016 102489408 102936960 105234660 106182720 109132240 112250304 113877120 122773770 124722560 127419264 128111760 130958688 136652544 140312880 141576960 146413440 147328524 149667072 159274080 163698360 168375456 170815680 174611584 182027520 184160655 187083840 196438032 204978816 205873920 210469320 212365440 218264480 224500608 227754240 245547540 249445120 254838528 256223520 261917376 280625760 292826880 294657048 318548160 327396720 336750912 341631360 349223168 368321310 374167680 392876064 409957632 420938640 424730880 436528960 449001216 491095080 512447040 523834752 561251520 589314096 637096320 654793440 673501824 683262720 736642620 748335360 785752128 841877280 873057920 982190160 1024894080 1047669504 1122503040 1178628192 1274192640 1309586880 1347003648 1473285240 1571504256 1683754560 1746115840 1964380320 2049788160 2245006080 2357256384 2619173760 2946570480 3143008512 3367509120 3928760640 4714512768 5238347520 5893140960 6735018240 7857521280 9429025536 11786281920 15715042560 23572563840 47145127680
- Sum of all divisors σ(n): 205799731200
- Sum of proper divisors (its aliquot sum) s(n): 158654603520
- 47145127680 is an abundant number, because the sum of its proper divisors (158654603520) is greater than itself. Its abundance is 111509475840
Bases of 47145127680
- Binary: 1010111110100001000110001111000000002
- Hexadecimal: 0xAFA118F00
- Base-36: LNOZPC0
Squares and roots of 47145127680
- 47145127680 squared (471451276802) is 2222663063963502182400
- 47145127680 cubed (471451276803) is 104787733940179317249206648832000
-
The
square root of 47145127680 is 217129.2879369341 -
The
cube root of 47145127680 is 3612.5367355053
Scales and comparisons
How big is 47145127680?- 47,145,127,680 seconds is equal to 1,499 years, 3 weeks, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 47,145,127,680 would take you about two thousand, nine hundred ninety-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 47145127680 cubic inches would be around 301 feet tall.
Recreational maths with 47145127680
- 47145127680 backwards is 08672154174
- 47145127680 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 47145127680's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 47145127680 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 47145127680 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/47145127680/
Chicago style:
Numbermatics. 2024. "Number 47145127680 - Facts about the integer". https://numbermatics.com/n/47145127680/
The information we have on file for 47145127680 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!
Keywords: Divisors of 47145127680, math, Factors of 47145127680, curriculum, school, college, exams, university, Prime factorization of 47145127680, STEM, science, technology, engineering, physics, economics, calculator, forty-seven billion, one hundred forty-five million, one hundred twenty-seven thousand, six hundred eighty.