3428157119400
3,428,157,119,400 is an even composite number composed of seven prime numbers multiplied together.
3428157119400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 3428157119400:
23 × 34 × 52 × 13 × 53 × 281 × 1093
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 53 × 281 × 1093)See below for interesting mathematical facts about the number 3428157119400 from the Numbermatics database.
Names of 3428157119400
- Cardinal: 3428157119400 can be written as Three trillion, four hundred twenty-eight billion, one hundred fifty-seven million, one hundred nineteen thousand, four hundred.
Scientific notation
- Scientific notation: 3.4281571194 × 1012
Factors of 3428157119400
Divisors of 3428157119400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 27 30 36 39 40 45 50 52 53 54 60 65 72 75 78 81 90 100 104 106 108 117 120 130 135 150 156 159 162 180 195 200 212 216 225 234 260 265 270 281 300 312 318 324 325 351 360 390 405 424 450 468 477 520 530 540 562 585 600 636 648 650 675 689 702 780 795 810 843 900 936 954 975 1053 1060 1080 1093 1124 1170 1272 1300 1325 1350 1378 1404 1405 1431 1560 1590 1620 1686 1755 1800 1908 1950 2025 2067 2106 2120 2186 2248 2340 2385 2529 2600 2650 2700 2756 2808 2810 2862 2925 3180 3240 3279 3372 3445 3510 3653 3816 3900 3975 4050 4134 4212 4215 4293 4372 4680 4770 5058 5265 5300 5400 5465 5512 5620 5724 5850 6201 6360 6558 6744 6890 7020 7025 7155 7306 7587 7800 7950 8100 8268 8424 8430 8586 8744 8775 9540 9837 10116 10335 10530 10600 10930 10959 11240 11448 11700 11925 12402 12645 13116 13780 14040 14050 14209 14310 14612 14893 15174 15900 16200 16395 16536 16860 17172 17225 17550 18265 18603 19080 19674 20232 20670 21060 21075 21465 21860 21918 22761 23400 23850 24804 25290 26232 26325 27325 27560 28100 28418 28620 29224 29511 29786 30348 31005 31800 32790 32877 33720 34344 34450 35100 35775 36530 37206 37935 39348 41340 42120 42150 42627 42930 43720 43836 44679 45522 47700 49185 49608 50580 51675 52650 54650 54795 55809 56200 56836 57240 57929 59022 59572 60696 62010 63225 65580 65754 68900 70200 71045 71550 73060 74412 74465 75870 78696 81975 82680 84300 85254 85860 87672 88533 89358 91044 91325 93015 95400 98370 98631 101160 103350 105300 107325 109300 109590 111618 113672 113805 115858 118044 119144 124020 126450 127881 131160 131508 134037 137800 142090 143100 146120 147555 148824 148930 151740 155025 163950 164385 168600 170508 171720 173787 177066 178716 182088 182650 186030 189675 193609 196740 197262 206700 210600 213135 214650 218600 219180 223236 223395 227610 231716 236088 245925 248040 252900 255762 263016 268074 273975 279045 284180 286200 289645 295110 295893 297860 303480 307133 310050 327900 328770 341016 347574 354132 355225 357432 365300 372060 372325 379350 383643 387218 393480 394524 402111 413400 426270 429300 438360 442665 446472 446790 455220 463432 465075 491850 493155 505800 511524 521361 536148 547950 558090 568360 569025 579290 580827 590220 591786 595720 614266 620100 639405 655800 657540 670185 695148 708264 710450 730600 737775 744120 744650 753077 758700 767286 774436 789048 804222 821925 852540 858600 868935 885330 893580 910440 921399 930150 968045 983700 986310 1023048 1042722 1065675 1072296 1095900 1116180 1116975 1138050 1150929 1158580 1161654 1180440 1183572 1206333 1228532 1240200 1278810 1315080 1340370 1390296 1395225 1420900 1448225 1475550 1479465 1489300 1506154 1517400 1534572 1535665 1548872 1564083 1608444 1643850 1705080 1737870 1742481 1770660 1787160 1842798 1860300 1918215 1936090 1967400 1972620 2010555 2085444 2131350 2191800 2213325 2232360 2233950 2259231 2276100 2301858 2317160 2323308 2367144 2412666 2457064 2465775 2557620 2606805 2680740 2764197 2790450 2841800 2896450 2904135 2951100 2958930 2978600 3012308 3069144 3071330 3128166 3197025 3216888 3287700 3350925 3475740 3484962 3541320 3685596 3720600 3765385 3836430 3872180 3945240 3992729 4021110 4170888 4262700 4344675 4426650 4467900 4518462 4552200 4603716 4606995 4646616 4692249 4825332 4840225 4931550 5115240 5213610 5227443 5361480 5528394 5580900 5754645 5792900 5808270 5902200 5917860 6024616 6031665 6142660 6256332 6394050 6575400 6701850 6777693 6951480 6969924 7371192 7397325 7530770 7672860 7678325 7744360 7820415 7985458 8042220 8292591 8525400 8689350 8712405 8853300 8935800 9036924 9207432 9213990 9384498 9591075 9650664 9680450 9863100 10052775 10427220 10454886 11056788 11161800 11296155 11509290 11585800 11616540 11835720 11978187 12063330 12285320 12512664 12788100 13034025 13403700 13555386 13820985 13939848 14520675 14794650 15061540 15345720 15356650 15640830 15682329 15970916 16084440 16278049 16585182 17378700 17424810 17706600 18073848 18427980 18768996 18826925 19182150 19360900 19726200 19963645 20105550 20333079 20854440 20909772 22113576 22592310 23018580 23034975 23233080 23461245 23956374 24126660 24877773 25576200 26068050 26137215 26807400 27110772 27641970 28773225 29041350 29589300 30123080 30158325 30713300 31281660 31364658 31941832 32556098 33170364 33888465 34757400 34849620 35934561 36855960 37537992 37653850 38364300 38721800 39102075 39927290 40211100 40666158 41462955 41819544 43562025 45184620 46037160 46069950 46922490 47912748 48253320 48834147 49755546 52136100 52274430 54221544 55283940 56480775 57546450 58082700 59178600 59890935 60316650 60999237 61426600 62563320 62729316 65112196 66340728 67776930 69104925 69699240 71869122 75307700 76728600 78204150 78411645 79854580 80422200 81332316 81390245 82925910 87124050 90369240 92139900 93844980 95825496 97668294 99511092 99818225 101665395 104272200 104548860 107803683 110567880 112961550 115092900 116165400 117306225 119781870 120633300 121998474 124388865 125458632 130224392 130686075 135553860 138209850 143738244 146502441 150615400 156408300 156823290 159709160 162664632 162780490 165851820 169442325 174248100 179672805 184279800 187689960 195336588 199022184 199636450 203330790 207314775 209097720 211614637 215607366 225923100 230185800 234612450 239563740 241266600 243996948 244170735 248777730 261372150 271107720 276419700 287476488 293004882 299454675 304996185 312816600 313646580 323411049 325560980 331703640 338884650 348496200 359345610 390673176 392058225 399272900 406661580 406951225 414629550 423229274 431214732 439507323 451846200 469224900 479127480 487993896 488341470 497555460 508326975 522744300 539018415 552839400 586009764 598909350 609992370 621944325 627293160 634843911 646822098 651121960 677769300 718691220 732512205 784116450 798545800 813323160 813902450 829259100 846458548 862429464 879014646 898364025 938449800 976682940 995110920 1016653950 1045488600 1058073185 1078036830 1172019528 1197818700 1219984740 1220853675 1243888650 1269687822 1293644196 1318521969 1355538600 1437382440 1465024410 1524980925 1568232900 1617055245 1627804900 1658518200 1692917096 1758029292 1796728050 1904531733 1953365880 2033307900 2116146370 2156073660 2197536615 2395637400 2439969480 2441707350 2487777300 2539375644 2587288392 2637043938 2695092075 2930048820 3049961850 3136465800 3174219555 3234110490 3255609800 3516058584 3593456100 3662561025 3809063466 4066615800 4232292740 4312147320 4395073230 4883414700 4975554600 5078751288 5274087876 5290365925 5390184150 5713595199 5860097640 6099923700 6348439110 6468220980 6592609845 7186912200 7325122050 7618126932 8085276225 8464585480 8790146460 9522658665 9766829400 10548175752 10580731850 10780368300 10987683075 11427190398 12199847400 12696878220 12936441960 13185219690 14650244100 15236253864 15871097775 16170552450 17140785597 17580292920 19045317330 21161463700 21560736600 21975366150 22854380796 25393756440 26370439380 28567975995 29300488200 31742195550 32341104900 32963049225 34281571194 38090634660 42322927400 43950732300 45708761592 47613293325 52740878760 57135951990 63484391100 64682209800 65926098450 68563142388 76181269320 85703927985 87901464600 95226586650 114271903980 126968782200 131852196900 137126284776 142839879975 171407855970 190453173300 228543807960 263704393800 285679759950 342815711940 380906346600 428519639925 571359519900 685631423880 857039279850 1142719039800 1714078559700 3428157119400
- Sum of all divisors σ(n): 13122801180720
- Sum of proper divisors (its aliquot sum) s(n): 9694644061320
- 3428157119400 is an abundant number, because the sum of its proper divisors (9694644061320) is greater than itself. Its abundance is 6266486941920
Bases of 3428157119400
- Binary: 1100011110001011100001011001011011101010002
- Hexadecimal: 0x31E2E165BA8
- Base-36: 17QVG8II0
Squares and roots of 3428157119400
- 3428157119400 squared (34281571194002) is 11752261235292905856360000
- 3428157119400 cubed (34281571194003) is 40288598022818013755794487769384000000
-
The
square root of 3428157119400 is 1851528.3199022369 -
The
cube root of 3428157119400 is 15078.3414171779
Scales and comparisons
How big is 3428157119400?- 3,428,157,119,400 seconds is equal to 109,004 years, 41 weeks, 1 day, 10 hours, 30 minutes.
-
To count from 1 to 3,428,157,119,400 would take you about two hundred seventy-two thousand, five hundred eleven 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 3428157119400 cubic inches would be around 1256.5 feet tall.
Recreational maths with 3428157119400
- 3428157119400 backwards is 0049117518243
- 3428157119400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3428157119400's digits is 45
- More coming soon!
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The information we have on file for 3428157119400 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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