2820428083200
2,820,428,083,200 is an even composite number composed of seven prime numbers multiplied together.
2820428083200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 2820428083200:
212 × 3 × 52 × 73 × 13 × 29 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 13 × 29 × 71)See below for interesting mathematical facts about the number 2820428083200 from the Numbermatics database.
Names of 2820428083200
- Cardinal: 2820428083200 can be written as Two trillion, eight hundred twenty billion, four hundred twenty-eight million, eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 2.8204280832 × 1012
Factors of 2820428083200
Divisors of 2820428083200
- Number of divisors d(n): 2496
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 29 30 32 35 39 40 42 48 49 50 52 56 58 60 64 65 70 71 75 78 80 84 87 91 96 98 100 104 105 112 116 120 128 130 140 142 145 147 150 156 160 168 174 175 182 192 195 196 200 203 208 210 213 224 232 240 245 256 260 273 280 284 290 294 300 312 320 325 336 343 348 350 355 364 377 384 390 392 400 406 416 420 426 435 448 455 464 480 490 497 512 520 525 546 560 568 580 588 600 609 624 637 640 650 672 686 696 700 710 725 728 735 754 768 780 784 800 812 832 840 852 870 896 910 923 928 960 975 980 994 1015 1024 1029 1040 1050 1065 1092 1120 1131 1136 1160 1176 1200 1218 1225 1248 1274 1280 1300 1344 1365 1372 1392 1400 1420 1421 1450 1456 1470 1491 1508 1536 1560 1568 1600 1624 1664 1680 1704 1715 1740 1775 1792 1820 1846 1856 1885 1911 1920 1950 1960 1988 2030 2048 2058 2059 2080 2100 2130 2175 2184 2240 2262 2272 2275 2320 2352 2400 2436 2450 2485 2496 2548 2560 2600 2639 2688 2730 2744 2769 2784 2800 2840 2842 2900 2912 2940 2982 3016 3045 3072 3120 3136 3185 3200 3248 3328 3360 3408 3430 3479 3480 3550 3584 3640 3675 3692 3712 3770 3822 3840 3900 3920 3976 4060 4096 4116 4118 4160 4200 4260 4263 4350 4368 4459 4480 4524 4544 4550 4615 4640 4704 4800 4872 4900 4970 4992 5075 5096 5120 5145 5200 5278 5325 5376 5460 5488 5538 5568 5600 5655 5680 5684 5800 5824 5880 5964 6032 6090 6144 6177 6240 6272 6370 6400 6461 6496 6656 6720 6816 6825 6860 6958 6960 7100 7105 7168 7280 7350 7384 7424 7455 7540 7644 7680 7800 7840 7917 7952 8120 8232 8236 8320 8400 8520 8526 8575 8700 8736 8918 8960 9048 9088 9100 9230 9280 9408 9425 9555 9600 9744 9800 9940 9947 9984 10150 10192 10240 10290 10295 10400 10437 10556 10650 10752 10920 10976 11076 11136 11200 11310 11360 11368 11600 11648 11760 11928 12064 12180 12288 12354 12425 12480 12544 12740 12800 12922 12992 13195 13312 13377 13440 13632 13650 13720 13845 13916 13920 14200 14210 14336 14413 14560 14700 14768 14848 14910 15080 15225 15288 15360 15600 15680 15834 15904 15925 16240 16464 16472 16640 16800 17040 17052 17150 17395 17400 17472 17836 17920 18096 18176 18200 18460 18473 18560 18816 18850 19110 19200 19383 19488 19600 19880 19894 19968 20300 20384 20480 20580 20590 20800 20874 21112 21300 21315 21504 21840 21952 22152 22272 22295 22400 22620 22720 22736 23075 23200 23296 23520 23856 24128 24353 24360 24708 24850 24960 25088 25480 25600 25725 25844 25984 26390 26624 26754 26767 26880 27264 27300 27440 27690 27832 27840 28275 28400 28420 28672 28826 29120 29400 29536 29696 29820 29841 30160 30450 30576 30720 30885 31200 31360 31668 31808 31850 32305 32480 32928 32944 33280 33600 34080 34104 34300 34790 34800 34944 35525 35672 35840 36192 36352 36400 36920 36946 37120 37275 37632 37700 38220 38400 38766 38976 39200 39585 39760 39788 39936 40600 40768 41160 41180 41600 41748 42224 42600 42630 43008 43239 43680 43904 44304 44544 44590 44800 45227 45240 45440 45472 46150 46400 46592 47040 47712 47775 48256 48706 48720 49416 49700 49735 49920 50176 50960 51200 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220345944 221383680 224842800 225995840 226996224 228300800 229527025 231562240 233788800 236454400 239832320 242138400 243140352 248102400 248277120 249374720 251823936 253271200 254643200 256963200 258280960 262316600 264828928 267187200 270233600 271195008 273960960 274094080 275432430 276729600 277874688 282494800 283545600 283745280 287798784 289452800 293794592 295178240 299249664 299790400 303925440 305571840 309937152 310346400 311718400 314779920 316262400 322851200 324187136 328912896 330803200 331036160 335765248 338993760 342451200 342617600 347343360 354681600 356249600 359748480 361593344 367243240 368972800 374062080 378327040 379906800 381964800 383731712 387421440 393474900 396963840 397243392 405233920 405350400 411141120 413249536 413795200 419706560 423742200 434179200 436531200 440691888 442767360 449685600 451991680 456601600 459054050 463124480 467577600 472908800 479664640 484276800 486280704 496204800 496554240 498749440 503647872 506542400 509286400 513926400 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5755975680 5875891840 6078508800 6198743040 6295598400 6483742720 6620723200 6715304960 6779875200 6946867200 7051070208 7194969600 7231866880 7344864800 7481241600 7748428800 7944867840 8058365952 8104678400 8222822400 8394131200 8678240256 8813837760 9039833600 9401426944 9593292800 9725614080 9931084800 10072957440 10331238400 10847800320 11017297200 11511951360 11751783680 12157017600 12591196800 13241446400 13430609920 13559750400 13893734400 14102140416 14389939200 14463733760 14689729600 15496857600 16116731904 16209356800 16788262400 17627675520 18079667200 18802853888 19186585600 19451228160 19862169600 20145914880 21695600640 22034594400 23503567360 24314035200 25182393600 26861219840 27119500800 28204280832 28779878400 29379459200 30993715200 32418713600 33576524800 35255351040 36159334400 37605707776 39724339200 40291829760 43391201280 44069188800 47007134720 48628070400 50364787200 54239001600 56408561664 57559756800 58758918400 67153049600 70510702080 72318668800 80583659520 88138377600 94014269440 97256140800 100729574400 108478003200 112817123328 117517836800 134306099200 141021404160 176276755200 188028538880 201459148800 216956006400 235035673600 282042808320 352553510400 402918297600 470071347200 564085616640 705107020800 940142694400 1410214041600 2820428083200
- Sum of all divisors σ(n): 12285713664000
- Sum of proper divisors (its aliquot sum) s(n): 9465285580800
- 2820428083200 is an abundant number, because the sum of its proper divisors (9465285580800) is greater than itself. Its abundance is 6644857497600
Bases of 2820428083200
- Binary: 1010010000101011101001110100110000000000002
- Hexadecimal: 0x290AE9D3000
- Base-36: ZZOQ251C
Squares and roots of 2820428083200
- 2820428083200 squared (28204280832002) is 7954814572503226122240000
- 2820428083200 cubed (28204280832003) is 22435982416936701477765532090368000000
-
The
square root of 2820428083200 is 1679413.0174558015 -
The
cube root of 2820428083200 is 14128.7913002621
Scales and comparisons
How big is 2820428083200?- 2,820,428,083,200 seconds is equal to 89,680 years, 46 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 2,820,428,083,200 would take you about two hundred twenty-four thousand, two hundred two 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 2820428083200 cubic inches would be around 1177.4 feet tall.
Recreational maths with 2820428083200
- 2820428083200 backwards is 0023808240282
- 2820428083200 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2820428083200's digits is 39
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The information we have on file for 2820428083200 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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