45742128120
45,742,128,120 is an even composite number composed of seven prime numbers multiplied together.
45742128120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 45742128120:
23 × 32 × 5 × 132 × 31 × 79 × 307
(2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 31 × 79 × 307)See below for interesting mathematical facts about the number 45742128120 from the Numbermatics database.
Names of 45742128120
- Cardinal: 45742128120 can be written as Forty-five billion, seven hundred forty-two million, one hundred twenty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.574212812 × 1010
Factors of 45742128120
Divisors of 45742128120
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 31 36 39 40 45 52 60 62 65 72 78 79 90 93 104 117 120 124 130 155 156 158 169 180 186 195 234 237 248 260 279 307 310 312 316 338 360 372 390 395 403 465 468 474 507 520 558 585 614 620 632 676 711 744 780 790 806 845 921 930 936 948 1014 1027 1116 1170 1185 1209 1228 1240 1352 1395 1422 1521 1535 1560 1580 1612 1690 1842 1860 1896 2015 2028 2054 2232 2340 2370 2418 2449 2456 2535 2763 2790 2844 3042 3070 3081 3160 3224 3380 3555 3627 3684 3720 3991 4030 4056 4108 4605 4680 4740 4836 4898 5070 5135 5239 5526 5580 5688 6045 6084 6140 6162 6760 7110 7254 7347 7368 7605 7982 8060 8216 9210 9243 9480 9517 9672 9796 10140 10270 10478 11052 11160 11973 12090 12168 12245 12280 12324 13351 13815 14220 14508 14694 15210 15405 15717 15964 16120 18135 18420 18486 19034 19592 19955 20280 20540 20956 22041 22104 23946 24180 24253 24490 24648 26195 26702 27630 28440 28551 29016 29388 30420 30810 31434 31837 31928 35919 36270 36735 36840 36972 38068 39910 40053 41080 41912 44082 46215 47151 47585 47892 48360 48506 48980 51883 52390 53404 55260 57102 58776 59865 60840 61620 62868 63674 66755 71838 72540 72759 73470 73944 76136 78585 79820 80106 85653 88164 92430 94302 95170 95511 95784 97012 97960 103766 104780 106808 110205 110520 114204 119730 120159 121265 123240 123721 125736 127348 133510 142755 143676 145080 145518 146940 155649 157170 159185 159640 160212 171306 176328 179595 184860 188604 190340 191022 194024 200265 207532 209560 218277 220410 228408 235755 239460 240318 242530 247442 254696 259415 267020 285510 286533 287352 291036 293880 311298 314340 315289 318370 320424 342612 359190 363795 369720 371163 377208 380680 382044 400530 413881 415064 428265 436554 440820 466947 471510 477555 478920 480636 485060 494884 518830 534040 571020 573066 582072 600795 618605 622596 628680 630578 636740 685224 718380 727590 742326 751843 764088 778245 801060 827762 856530 873108 881640 933894 943020 945867 955110 961272 970120 989768 1037660 1091385 1113489 1142040 1146132 1201590 1237210 1241643 1245192 1261156 1273480 1432665 1436760 1455180 1484652 1503686 1556490 1576445 1602120 1608373 1655524 1713060 1746216 1855815 1867788 1886040 1891734 1910220 2069405 2075320 2182770 2226978 2255529 2292264 2334735 2403180 2474420 2483286 2522312 2837601 2865330 2910360 2969304 3007372 3112980 3152890 3216746 3311048 3426120 3711630 3724929 3735576 3759215 3783468 3820440 4098757 4138810 4365540 4453956 4511058 4669470 4729335 4806360 4825119 4948840 4966572 5567445 5675202 5730660 6014744 6208215 6225960 6305780 6433492 6766587 7423260 7449858 7518430 7566936 8041865 8197514 8277620 8731080 8907912 9022116 9338940 9458670 9650238 9773959 9933144 11134890 11277645 11350404 11461320 12296271 12416430 12611560 12866984 13533174 14188005 14475357 14846520 14899716 15036860 16083730 16395028 16555240 18044232 18624645 18677880 18917340 19300476 19547918 20493785 22269780 22555290 22700808 24125595 24592542 24832860 27066348 28376010 28950714 29321877 29799432 30073720 32167460 32790056 33832935 36888813 37249290 37834680 38600952 39095836 40987570 44539560 45110580 48251190 48869795 49185084 49665720 54132696 56752020 57901428 58643754 61481355 64334920 67665870 72376785 73777626 74498580 78191672 81975140 87965631 90221160 96502380 97739590 98370168 113504040 115802856 117287508 122962710 127061467 135331740 144753570 146609385 147555252 148997160 163950280 175931262 184444065 193004760 195479180 234575016 245925420 254122934 270663480 289507140 293218770 295110504 351862524 368888130 381184401 390958360 439828155 491850840 508245868 579014280 586437540 635307335 703725048 737776260 762368802 879656310 1016491736 1143553203 1172875080 1270614670 1475552520 1524737604 1759312620 1905922005 2287106406 2541229340 3049475208 3518625240 3811844010 4574212812 5082458680 5717766015 7623688020 9148425624 11435532030 15247376040 22871064060 45742128120
- Sum of all divisors σ(n): 168821452800
- Sum of proper divisors (its aliquot sum) s(n): 123079324680
- 45742128120 is an abundant number, because the sum of its proper divisors (123079324680) is greater than itself. Its abundance is 77337196560
Bases of 45742128120
- Binary: 1010101001100111000101111011111110002
- Hexadecimal: 0xAA6717BF8
- Base-36: L0HOJY0
Squares and roots of 45742128120
- 45742128120 squared (457421281202) is 2092342284946494734400
- 45742128120 cubed (457421281203) is 95708188868916109485830171328000
-
The
square root of 45742128120 is 213874.0940834117 -
The
cube root of 45742128120 is 3576.3399054559
Scales and comparisons
How big is 45742128120?- 45,742,128,120 seconds is equal to 1,454 years, 23 weeks, 5 days, 18 hours, 42 minutes.
-
To count from 1 to 45,742,128,120 would take you about two thousand, nine 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 45742128120 cubic inches would be around 298 feet tall.
Recreational maths with 45742128120
- 45742128120 backwards is 02182124754
- 45742128120 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 45742128120's digits is 36
- More coming soon!
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