428972962968000
428,972,962,968,000 is an even composite number composed of six prime numbers multiplied together.
428972962968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 428972962968000:
26 × 32 × 53 × 11 × 172 × 374
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 17 × 17 × 37 × 37 × 37 × 37)See below for interesting mathematical facts about the number 428972962968000 from the Numbermatics database.
Names of 428972962968000
- Cardinal: 428972962968000 can be written as Four hundred twenty-eight trillion, nine hundred seventy-two billion, nine hundred sixty-two million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.28972962968 × 1014
Factors of 428972962968000
Divisors of 428972962968000
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 30 32 33 34 36 37 40 44 45 48 50 51 55 60 64 66 68 72 74 75 80 85 88 90 96 99 100 102 110 111 120 125 132 136 144 148 150 153 160 165 170 176 180 185 187 192 198 200 204 220 222 225 240 250 255 264 272 275 288 289 296 300 306 320 330 333 340 352 360 370 374 375 396 400 407 408 425 440 444 450 480 495 500 510 528 544 550 555 561 576 578 592 600 612 629 660 666 680 704 720 740 748 750 765 792 800 814 816 825 850 867 880 888 900 925 935 960 990 1000 1020 1056 1088 1100 1110 1122 1125 1156 1184 1200 1221 1224 1258 1275 1320 1332 1360 1369 1375 1440 1445 1480 1496 1500 1530 1584 1600 1628 1632 1650 1665 1683 1700 1734 1760 1776 1800 1850 1870 1887 1980 2000 2035 2040 2112 2125 2200 2220 2244 2250 2312 2368 2400 2442 2448 2475 2516 2550 2601 2640 2664 2720 2738 2750 2775 2805 2880 2890 2960 2992 3000 3060 3145 3168 3179 3256 3264 3300 3330 3366 3400 3468 3520 3552 3600 3663 3700 3740 3774 3825 3960 4000 4070 4080 4107 4125 4250 4335 4400 4440 4488 4500 4624 4625 4675 4800 4884 4896 4950 5032 5100 5202 5280 5328 5440 5476 5500 5550 5610 5661 5780 5920 5984 6000 6105 6120 6290 6336 6358 6375 6512 6600 6660 6732 6800 6845 6919 6936 7104 7200 7225 7326 7400 7480 7548 7650 7920 8000 8140 8160 8214 8250 8325 8415 8500 8670 8800 8880 8976 9000 9248 9250 9350 9435 9537 9768 9792 9900 10064 10175 10200 10404 10560 10656 10693 10952 11000 11100 11220 11322 11560 11840 11968 12000 12210 12240 12321 12375 12580 12716 12750 13005 13024 13200 13320 13464 13600 13690 13838 13872 13875 14025 14400 14450 14652 14800 14960 15059 15096 15300 15725 15840 15895 16280 16320 16428 16500 16650 16830 17000 17340 17600 17760 17952 18000 18315 18496 18500 18700 18870 19074 19125 19536 19800 20128 20350 20400 20535 20757 20808 21312 21386 21675 21904 22000 22200 22440 22644 23120 23273 23375 24000 24420 24480 24642 24750 25160 25432 25500 26010 26048 26400 26640 26928 27200 27380 27676 27744 27750 28050 28305 28611 28900 29304 29600 29920 30118 30192 30525 30600 31450 31680 31790 32079 32560 32856 33000 33300 33660 34000 34225 34595 34680 35520 35904 36000 36125 36630 37000 37400 37740 38148 38250 39072 39600 40256 40700 40800 41070 41514 41616 41625 42075 42772 43350 43808 44000 44400 44880 45177 45288 46240 46546 46750 47175 47685 48840 48960 49284 49500 50320 50653 50864 50875 51000 52020 52800 53280 53465 53856 54760 55352 55488 55500 56100 56610 57222 57800 58608 59200 59840 60236 60384 61050 61200 61605 62271 62900 63580 64158 65025 65120 65712 66000 66600 67320 68000 68450 69190 69360 69819 70125 72000 72250 73260 74000 74800 75295 75480 76296 76500 78144 78625 79200 79475 81400 81600 82140 83028 83232 83250 84150 85544 86700 87616 88000 88800 89760 90354 90576 91575 92480 93092 93500 94350 95370 96237 97680 98568 99000 100640 101306 101728 101750 102000 102675 103785 104040 106560 106930 107712 108375 109520 110704 111000 112200 113220 114444 115600 116365 117216 117623 120472 120768 122100 122400 123210 124542 125800 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92770969500 95327325104 95582211000 96615532200 97493855220 98955700800 100934814816 103993445568 104449224000 105140432100 105398762400 107243240742 108326505800 112149794240 113665332000 114698653200 115938638640 117109736000 119159156380 120769415250 121867319025 123694626000 126168518520 127442948000 128820709600 129991806960 131425540125 131748453000 134939592000 135408132250 136398398400 140187242800 142990987656 143373316500 144923298300 148433551200 148948945475 152931537600 154584851520 155990168352 156673836000 157710648150 161025887000 162489758700 164926168000 168224691360 170497998000 173322409280 175234053500 175664604000 178738734570 181154122875 185541939000 190654650208 191164422000 193231064400 194987710440 201869629632 203112198375 210280864200 210797524800 214486481484 216653011600 227330664000 229397306400 231877277280 238318312760 241538830500 243734638050 247389252000 252337037040 254885896000 257641419200 259983613920 262851080250 263496906000 268108101855 270816264500 280374485600 285981975312 286746633000 289846596600 296867102400 297897890950 311980336704 313347672000 315421296300 322051774000 324979517400 336449382720 340995996000 350468107000 351329208000 357477469140 362308245750 371083878000 381309300416 382328844000 386462128800 389975420880 394276620375 406224396750 420561728400 428972962968 433306023200 446846836425 458794612800 463754554560 476636625520 483077661000 487469276100 494778504000 504674074080 519967227840 525702160500 526993812000 536216203710 541632529000 560748971200 571963950624 573493266000 579693193200 595795781900 609336595125 630842592600 644103548000 649959034800 681991992000 700936214000 714954938280 724616491500 742167756000 744744727375 764657688000 772924257600 779950841760 788553240750 812448793500 841123456800 857945925936 866612046400 893693672850 953273251040 966155322000 974938552200 1009348148160 1051404321000 1053987624000 1072432407420 1083265058000 1143927901248 1146986532000 1159386386400 1191591563800 1218673190250 1261685185200 1288207096000 1299918069600 1340540509275 1401872428000 1429909876560 1449232983000 1484335512000 1489489454750 1559901683520 1577106481500 1624897587000 1682246913600 1715891851872 1787387345700 1906546502080 1932310644000 1949877104400 2102808642000 2144864814840 2166530116000 2234234182125 2293973064000 2318772772800 2383183127600 2437346380500 2523370370400 2599836139200 2681081018550 2803744856000 2859819753120 2898465966000 2978978909500 3154212963000 3249795174000 3431783703744 3574774691400 3864621288000 3899754208800 4205617284000 4289729629680 4333060232000 4468468364250 4766366255200 4874692761000 5046740740800 5362162037100 5719639506240 5796931932000 5957957819000 6308425926000 6499590348000 6702702546375 7149549382800 7799508417600 8411234568000 8579459259360 8936936728500 9532732510400 9749385522000 10724324074200 11593863864000 11915915638000 12616851852000 12999180696000 13405405092750 14299098765600 17158918518720 17873873457000 19498771044000 21448648148400 23831831276000 25233703704000 26810810185500 28598197531200 35747746914000 38997542088000 42897296296800 47663662552000 53621620371000 71495493828000 85794592593600 107243240742000 142990987656000 214486481484000 428972962968000
- Sum of all divisors σ(n): 1827668414327184
- Sum of proper divisors (its aliquot sum) s(n): 1398695451359184
- 428972962968000 is an abundant number, because the sum of its proper divisors (1398695451359184) is greater than itself. Its abundance is 969722488391184
Bases of 428972962968000
- Binary: 11000011000100110000011010001001101110001110000002
- Hexadecimal: 0x186260D1371C0
- Base-36: 4823GIEB40
Squares and roots of 428972962968000
- 428972962968000 squared (4289729629680002) is 184017802957545099369024000000
- 428972962968000 cubed (4289729629680003) is 78938662173559714787818212518303232000000000
-
The
square root of 428972962968000 is 20711662.4868212837 -
The
cube root of 428972962968000 is 75418.2828833553
Scales and comparisons
How big is 428972962968000?- 428,972,962,968,000 seconds is equal to 13,640,013 years, 16 weeks, 5 days, 4 hours.
-
To count from 1 to 428,972,962,968,000 would take you about thirty-four million, one hundred thousand and thirty-three 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 428972962968000 cubic inches would be around 6284.9 feet tall.
Recreational maths with 428972962968000
- 428972962968000 backwards is 000869269279824
- 428972962968000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428972962968000's digits is 72
- More coming soon!
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"Number 428972962968000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 428972962968000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/428972962968000/
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The information we have on file for 428972962968000 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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