34738157728428000
34,738,157,728,428,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 34738157728428000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
34738157728428000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 34738157728428000:
25 × 3 × 53 × 7 × 11 × 61 × 616318177
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 61 × 616318177)See below for interesting mathematical facts about the number 34738157728428000 from the Numbermatics database.
Names of 34738157728428000
- Cardinal: 34738157728428000 can be written as Thirty-four quadrillion, seven hundred thirty-eight trillion, one hundred fifty-seven billion, seven hundred twenty-eight million, four hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 3.4738157728428 × 1016
Factors of 34738157728428000
Divisors of 34738157728428000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 50 55 56 60 61 66 70 75 77 80 84 88 96 100 105 110 112 120 122 125 132 140 150 154 160 165 168 175 176 183 200 210 220 224 231 240 244 250 264 275 280 300 305 308 330 336 350 352 366 375 385 400 420 427 440 462 480 488 500 525 528 550 560 600 610 616 660 671 672 700 732 750 770 800 825 840 854 875 880 915 924 976 1000 1050 1056 1100 1120 1155 1200 1220 1232 1281 1320 1342 1375 1400 1464 1500 1525 1540 1650 1680 1708 1750 1760 1830 1848 1925 1952 2000 2013 2100 2135 2200 2310 2400 2440 2464 2562 2625 2640 2684 2750 2800 2928 3000 3050 3080 3300 3355 3360 3416 3500 3660 3696 3850 4000 4026 4125 4200 4270 4400 4575 4620 4697 4880 5124 5250 5280 5368 5500 5600 5775 5856 6000 6100 6160 6405 6600 6710 6832 7000 7320 7392 7625 7700 8052 8250 8400 8540 8800 9150 9240 9394 9625 9760 10065 10248 10500 10675 10736 11000 11550 12000 12200 12320 12810 13200 13420 13664 14000 14091 14640 15250 15400 16104 16500 16775 16800 17080 18300 18480 18788 19250 20130 20496 21000 21350 21472 22000 22875 23100 23485 24400 25620 26400 26840 28000 28182 28875 29280 30500 30800 32025 32208 33000 33550 34160 36600 36960 37576 38500 40260 40992 42000 42700 44000 45750 46200 46970 48800 50325 51240 53375 53680 56364 57750 61000 61600 64050 64416 66000 67100 68320 70455 73200 75152 77000 80520 83875 84000 85400 91500 92400 93940 100650 102480 106750 107360 112728 115500 117425 122000 128100 132000 134200 140910 146400 150304 154000 160125 161040 167750 170800 183000 184800 187880 201300 204960 213500 225456 231000 234850 244000 251625 256200 268400 281820 308000 320250 322080 335500 341600 352275 366000 375760 402600 427000 450912 462000 469700 503250 512400 536800 563640 587125 640500 671000 704550 732000 751520 805200 854000 924000 939400 1006500 1024800 1127280 1174250 1281000 1342000 1409100 1610400 1708000 1761375 1878800 2013000 2254560 2348500 2562000 2684000 2818200 3522750 3757600 4026000 4697000 5124000 5636400 7045500 8052000 9394000 11272800 14091000 18788000 28182000 56364000 616318177 1232636354 1848954531 2465272708 3081590885 3697909062 4314227239 4930545416 6163181770 6779499947 7395818124 8628454478 9244772655 9861090832 12326363540 12942681717 13558999894 14791636248 15407954425 17256908956 18489545310 19722181664 20338499841 21571136195 24652727080 25885363434 27117999788 29583272496 30815908850 33897499735 34513817912 36979090620 37595408797 40676999682 43142272390 46223863275 47456499629 49305454160 51770726868 54235999576 59166544992 61631817700 64713408585 67794999470 69027635824 73958181240 75190817594 77039772125 81353999364 86284544780 92447726550 94912999258 98610908320 101692499205 103541453736 107855680975 108471999152 112786226391 123263635400 129426817170 135589998940 138055271648 142369498887 147916362480 150381635188 154079544250 162707998728 169487498675 172569089560 184895453100 187977043985 189825998516 203384998410 207082907472 215711361950 216943998304 225572452782 231119316375 237282498145 246527270800 258853634340 263167861579 271179997880 284738997774 295832724960 300763270376 308159088500 323567042925 325415997456 338974997350 345138179120 369790906200 375954087970 379651997032 406769996820 413549496767 414165814944 431422723900 451144905564 462238632750 474564996290 493054541600 508462496025 517707268680 526335723158 539278404875 542359995760 563931131955 569477995548 601526540752 616318177000 647134085850 650831994912 677949994700 690276358240 711847494435 739581812400 751908175940 759303994064 789503584737 813539993640 827098993534 847437493375 862845447800 902289811128 924477265500 939885219925 949129992580 1016924992050 1035414537360 1052671446316 1078556809750 1084719991520 1127862263910 1138955991096 1186412490725 1203053081504 1232636354000 1240648490301 1294268171700 1315839307895 1355899989400 1423694988870 1479163624800 1503816351880 1518607988128 1579007169474 1617835214625 1627079987280 1654197987068 1694874986750 1725690895600 1804579622256 1848954531000 1879770439850 1898259985160 2033849984100 2067747483835 2070829074720 2105342892632 2157113619500 2255724527820 2277911982192 2372824981450 2465272708000 2481296980602 2542312480125 2588536343400 2631678615790 2711799978800 2819655659775 2847389977740 2894846477369 3007632703760 3158014338948 3235670429250 3254159974560 3308395974136 3389749973500 3451381791200 3559237472175 3609159244512 3697909062000 3759540879700 3796519970320 3947517923685 4067699968200 4135494967670 4210685785264 4314227239000 4511449055640 4555823964384 4699426099625 4745649962900 4962593961204 5084624960250 5177072686800 5263357231580 5423599957600 5639311319550 5694779955480 5789692954738 5932062453625 6015265407520 6203242451505 6316028677896 6471340858500 6579196539475 6616791948272 6779499947000 7118474944350 7395818124000 7519081759400 7593039940640 7895035847370 8135399936400 8270989935340 8421371570528 8628454478000 8684539432107 9022898111280 9398852199250 9491299925800 9925187922408 10169249920500 10338737419175 10354145373600 10526714463160 11278622639100 11389559910960 11579385909476 11864124907250 12406484903010 12632057355792 12942681717000 13158393078950 13233583896544 13558999894000 14098278298875 14236949888700 14474232386845 15038163518800 15790071694740 16270799872800 16541979870680 17256908956000 17369078864214 17796187360875 18045796222560 18797704398500 18982599851600 19737589618425 19850375844816 20338499841000 20677474838350 21053428926320 22557245278200 22779119821920 23158771818952 23728249814500 24812969806020 25264114711584 25885363434000 26316786157900 27117999788000 28196556597750 28473899777400 28948464773690 30076327037600 31016212257525 31580143389480 32895982697375 33083959741360 34738157728428 35592374721750 37595408797000 37965199703200 39475179236850 39700751689632 40676999682000 41354949676700 42106857852640 43422697160535 45114490556400 46317543637904 47456499629000 49625939612040 51693687095875 51770726868000 52633572315800 56393113195500 56947799554800 57896929547380 62032424515050 63160286778960 65791965394750 66167919482720 69476315456856 71184749443500 72371161934225 75190817594000 78950358473700 81353999364000 82709899353400 86845394321070 90228981112800 92635087275808 94912999258000 98687948092125 99251879224080 103387374191750 105267144631600 112786226391000 113895599109600 115793859094760 124064849030100 126320573557920 131583930789500 138952630913712 142369498887000 144742323868450 150381635188000 155081061287625 157900716947400 165419798706800 173690788642140 189825998516000 197375896184250 198503758448160 206774748383500 210534289263200 217113485802675 225572452782000 231587718189520 248129698060200 263167861579000 277905261827424 284738997774000 289484647736900 310162122575250 315801433894800 330839597413600 347381577284280 361855809671125 394751792368500 413549496767000 434226971605350 451144905564000 463175436379040 496259396120400 526335723158000 569477995548000 578969295473800 620324245150500 631602867789600 694763154568560 723711619342250 789503584737000 827098993534000 868453943210700 992518792240800 1052671446316000 1085567429013375 1157938590947600 1240648490301000 1389526309137120 1447423238684500 1579007169474000 1654197987068000 1736907886421400 2171134858026750 2315877181895200 2481296980602000 2894846477369000 3158014338948000 3473815772842800 4342269716053500 4962593961204000 5789692954738000 6947631545685600 8684539432107000 11579385909476000 17369078864214000 34738157728428000
- Sum of all divisors σ(n): 144209223670966272
- Sum of proper divisors (its aliquot sum) s(n): 109471065942538272
- 34738157728428000 is an abundant number, because the sum of its proper divisors (109471065942538272) is greater than itself. Its abundance is 74732908214110272
Bases of 34738157728428000
- Binary: 11110110110101000101011100111111000110111101111111000002
- Hexadecimal: 0x7B6A2B9F8DEFE0
- Base-36: 9I1NDCMUOYO
Squares and roots of 34738157728428000
- 34738157728428000 squared (347381577284280002) is 1206739602365141984999351184000000
- 34738157728428000 cubed (347381577284280003) is 41919910644100788673834752177035272258752000000000
-
The
square root of 34738157728428000 is 186381752.6702332521 -
The
cube root of 34738157728428000 is 326288.8707824065
Scales and comparisons
How big is 34738157728428000?- 34,738,157,728,428,000 seconds is equal to 1,104,565,963 years, 30 weeks, 3 days, 16 hours, 40 minutes.
-
To count from 1 to 34,738,157,728,428,000 would take you about three billion, three hundred thirteen million, six hundred ninety-seven thousand, eight hundred ninety 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 34738157728428000 cubic inches would be around 27190.7 feet tall.
Recreational maths with 34738157728428000
- 34738157728428000 backwards is 00082482775183743
- The number of decimal digits it has is: 17
- The sum of 34738157728428000's digits is 69
- More coming soon!
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The information we have on file for 34738157728428000 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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