428270937120
428,270,937,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 428270937120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
428270937120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 428270937120:
25 × 37 × 5 × 13 × 31 × 3037
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 31 × 3037)See below for interesting mathematical facts about the number 428270937120 from the Numbermatics database.
Names of 428270937120
- Cardinal: 428270937120 can be written as Four hundred twenty-eight billion, two hundred seventy million, nine hundred thirty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.2827093712 × 1011
Factors of 428270937120
Divisors of 428270937120
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 31 32 36 39 40 45 48 52 54 60 62 65 72 78 80 81 90 93 96 104 108 117 120 124 130 135 144 155 156 160 162 180 186 195 208 216 234 240 243 248 260 270 279 288 310 312 324 351 360 372 390 403 405 416 432 465 468 480 486 496 520 540 558 585 620 624 648 702 720 729 744 780 806 810 837 864 930 936 972 992 1040 1053 1080 1116 1170 1209 1215 1240 1248 1296 1395 1404 1440 1458 1488 1560 1612 1620 1674 1755 1860 1872 1944 2015 2080 2106 2160 2187 2232 2340 2418 2430 2480 2511 2592 2790 2808 2916 2976 3037 3120 3159 3224 3240 3348 3510 3627 3645 3720 3744 3888 4030 4185 4212 4320 4374 4464 4680 4836 4860 4960 5022 5265 5580 5616 5832 6045 6074 6240 6318 6448 6480 6696 7020 7254 7290 7440 7533 7776 8060 8370 8424 8748 8928 9111 9360 9477 9672 9720 10044 10530 10881 10935 11160 11232 11664 12090 12148 12555 12636 12896 12960 13392 14040 14508 14580 14880 15066 15185 15795 16120 16740 16848 17496 18135 18222 18720 18954 19344 19440 20088 21060 21762 21870 22320 22599 23328 24180 24296 25110 25272 26784 27333 28080 28431 29016 29160 30132 30370 31590 32240 32643 33480 33696 34992 36270 36444 37665 37908 38688 38880 39481 40176 42120 43524 43740 44640 45198 45555 47385 48360 48592 50220 50544 54405 54666 56160 56862 58032 58320 60264 60740 63180 64480 65286 66960 67797 69984 72540 72888 75330 75816 78962 80352 81999 84240 87048 87480 90396 91110 94147 94770 96720 97184 97929 100440 101088 108810 109332 112995 113724 116064 116640 118443 120528 121480 126360 130572 133920 135594 136665 142155 145080 145776 150660 151632 157924 163215 163998 168480 174096 174960 180792 182220 188294 189540 193440 195858 197405 200880 217620 218664 225990 227448 236886 241056 242960 245997 252720 261144 271188 273330 282441 284310 290160 291552 293787 301320 303264 315848 326430 327996 338985 348192 349920 355329 361584 364440 376588 379080 391716 394810 401760 409995 435240 437328 451980 454896 470735 473772 485920 489645 491994 505440 522288 542376 546660 564882 568620 580320 587574 592215 602640 631696 652860 655992 677970 710658 723168 728880 737991 753176 758160 783432 789620 819990 847323 870480 874656 881361 903960 909792 941470 947544 979290 983988 1044576 1065987 1084752 1093320 1129764 1137240 1175148 1184430 1205280 1223911 1229985 1263392 1305720 1311984 1355940 1412205 1421316 1457760 1468935 1475982 1506352 1516320 1566864 1579240 1639980 1694646 1740960 1762722 1776645 1807920 1882940 1895088 1958580 1967976 2131974 2169504 2186640 2213973 2259528 2274480 2350296 2368860 2447822 2459970 2541969 2611440 2623968 2711880 2824410 2842632 2937870 2951964 3012704 3133728 3158480 3197961 3279960 3389292 3525444 3553290 3615840 3671733 3689955 3765880 3790176 3917160 3935952 4236615 4263948 4373280 4406805 4427946 4519056 4548960 4700592 4737720 4895644 4919940 5083938 5222880 5329935 5423760 5648820 5685264 5875740 5903928 6119555 6316960 6395922 6559920 6641919 6778584 7050888 7106580 7343466 7379910 7531760 7625907 7834320 7871904 8473230 8527896 8813610 8855892 9038112 9401184 9475440 9593883 9791288 9839880 10167876 10659870 10847520 11015199 11069865 11297640 11370528 11751480 11807856 12239110 12709845 12791844 13119840 13283838 13557168 14101776 14213160 14686932 14759820 15063520 15251814 15668640 15989805 16946460 17055792 17627220 17711784 18358665 18950880 19187766 19582576 19679760 20335752 21319740 22030398 22139730 22595280 22877721 23502960 23615712 24478220 25419690 25583688 26567676 27114336 28203552 28426320 28781649 29373864 29519640 30503628 31979610 33045597 33209595 33892920 34111584 35254440 35423568 36717330 38129535 38375532 39165152 39359520 40671504 42639480 44060796 44279460 45190560 45755442 47005920 47969415 48956440 50839380 51167376 53135352 55075995 56852640 57563298 58747728 59039280 61007256 63959220 66091194 66419190 67785840 68633163 70508880 70847136 73434660 76259070 76751064 81343008 85278960 86344947 88121592 88558920 91510884 95938830 97912880 99136791 101678760 102334752 106270704 110151990 114388605 115126596 117495456 118078560 122014512 127918440 132182388 132838380 135571680 137266326 141017760 143908245 146869320 152518140 153502128 165227985 170557920 172689894 176243184 177117840 183021768 191877660 195825760 198273582 203357520 205899489 212541408 220303980 228777210 230253192 244029024 255836880 264364776 265676760 274532652 287816490 293738640 297410373 305036280 307004256 330455970 343165815 345379788 352486368 354235680 366043536 383755320 396547164 406715040 411798978 431724735 440607960 457554420 460506384 495683955 511673760 528729552 531353520 549065304 575632980 587477280 594820746 610072560 660911940 686331630 690759576 732087072 767510640 793094328 823597956 863449470 881215920 892231119 915108840 921012768 991367910 1029497445 1057459104 1062707040 1098130608 1151265960 1189641492 1220145120 1321823880 1372663260 1381519152 1487051865 1535021280 1586188656 1647195912 1726898940 1762431840 1784462238 1830217680 1982735820 2058994890 2196261216 2302531920 2379282984 2643647760 2676693357 2745326520 2763038304 2974103730 3172377312 3294391824 3453797880 3568924476 3660435360 3965471640 4117989780 4461155595 4605063840 4758565968 5287295520 5353386714 5490653040 5948207460 6588783648 6907595760 7137848952 7930943280 8235979560 8922311190 9517131936 10706773428 10981306080 11896414920 13383466785 13815191520 14275697904 15861886560 16471959120 17844622380 21413546856 23792829840 26766933570 28551395808 32943918240 35689244760 42827093712 47585659680 53533867140 71378489520 85654187424 107067734280 142756979040 214135468560 428270937120
- Sum of all divisors σ(n): 1687451996160
- Sum of proper divisors (its aliquot sum) s(n): 1259181059040
- 428270937120 is an abundant number, because the sum of its proper divisors (1259181059040) is greater than itself. Its abundance is 830910121920
Bases of 428270937120
- Binary: 1100011101101101110111111100100001000002
- Hexadecimal: 0x63B6EFE420
- Base-36: 5GQTGI00
Squares and roots of 428270937120
- 428270937120 squared (4282709371202) is 183415995581642993894400
- 428270937120 cubed (4282709371203) is 78551740310548024464437126320128000
-
The
square root of 428270937120 is 654424.1263278731 -
The
cube root of 428270937120 is 7537.7119067177
Scales and comparisons
How big is 428270937120?- 428,270,937,120 seconds is equal to 13,617 years, 35 weeks, 6 days, 13 hours, 12 minutes.
-
To count from 1 to 428,270,937,120 would take you about twenty-seven thousand, two hundred thirty-five 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 428270937120 cubic inches would be around 628.1 feet tall.
Recreational maths with 428270937120
- 428270937120 backwards is 021739072824
- 428270937120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 428270937120's digits is 45
- More coming soon!
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The information we have on file for 428270937120 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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