3429670168064000
3,429,670,168,064,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 3429670168064000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1872 divisors.
3429670168064000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 3429670168064000:
212 × 53 × 72 × 41 × 532 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 41 × 53 × 53 × 1187)See below for interesting mathematical facts about the number 3429670168064000 from the Numbermatics database.
Names of 3429670168064000
- Cardinal: 3429670168064000 can be written as Three quadrillion, four hundred twenty-nine trillion, six hundred seventy billion, one hundred sixty-eight million, sixty-four thousand.
Scientific notation
- Scientific notation: 3.429670168064 × 1015
Factors of 3429670168064000
Divisors of 3429670168064000
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 53 56 64 70 80 82 98 100 106 112 125 128 140 160 164 175 196 200 205 212 224 245 250 256 265 280 287 320 328 350 371 392 400 410 424 448 490 500 512 530 560 574 640 656 700 742 784 800 820 848 875 896 980 1000 1024 1025 1060 1120 1148 1187 1225 1280 1312 1325 1400 1435 1484 1568 1600 1640 1696 1750 1792 1855 1960 2000 2009 2048 2050 2120 2173 2240 2296 2374 2450 2560 2597 2624 2650 2800 2809 2870 2968 3136 3200 3280 3392 3500 3584 3710 3920 4000 4018 4096 4100 4240 4346 4480 4592 4748 4900 5120 5125 5194 5248 5300 5600 5618 5740 5935 5936 6125 6272 6400 6560 6625 6784 7000 7168 7175 7420 7840 8000 8036 8200 8309 8480 8692 8960 9184 9275 9496 9800 10045 10240 10250 10388 10496 10600 10865 11200 11236 11480 11870 11872 12250 12544 12800 12985 13120 13250 13568 14000 14045 14336 14350 14840 15211 15680 16000 16072 16400 16618 16960 17384 17920 18368 18550 18992 19600 19663 20090 20480 20500 20776 20992 21200 21730 22400 22472 22960 23740 23744 24500 25088 25600 25970 26240 26500 27136 28000 28090 28672 28700 29675 29680 30422 31360 32000 32144 32800 33236 33920 34768 35840 35875 36736 37100 37984 39200 39326 40180 41000 41545 41552 41984 42400 43460 44800 44944 45920 46375 47480 47488 48667 49000 50176 50225 51200 51940 52480 53000 54272 54325 56000 56180 57400 58163 59350 59360 60844 62720 62911 64000 64288 64925 65600 66472 67840 69536 70225 71680 71750 73472 74200 75968 76055 78400 78652 80360 82000 83090 83104 83968 84800 86920 89600 89888 91840 92750 94960 94976 97334 98000 98315 100352 100450 102400 103880 104960 106000 106477 108544 108650 112000 112360 114800 115169 116326 118700 118720 121688 125440 125822 128000 128576 129850 131200 132944 135680 137641 139072 140450 143360 143500 146944 148375 148400 151936 152110 156800 157304 160720 164000 166180 166208 167936 169600 173840 179200 179776 183680 185500 189920 189952 194668 196000 196630 200704 200900 207725 207760 209920 212000 212954 217088 217300 224000 224720 229600 230338 232652 237400 237440 243335 243376 250880 251125 251644 256000 257152 259700 262400 265888 271360 271625 275282 278144 280900 287000 290815 293888 296750 296800 303872 304220 313600 314555 314608 321440 324625 328000 332360 332416 339200 340669 347680 351125 358400 359552 367360 371000 379840 379904 380275 389336 392000 393260 401800 415450 415520 419840 424000 425908 434600 440377 448000 449440 459200 460676 465304 474800 474880 486670 486752 491575 501760 502250 503288 512000 514304 519400 524800 531776 532385 542720 543250 550564 556288 561800 574000 575845 581630 587776 593500 593600 607744 608440 627200 629110 629216 642880 649250 656000 664720 664832 678400 681338 688205 695360 702250 716800 719104 734720 742000 759680 759808 760550 778672 784000 786520 803600 806183 830900 831040 839680 848000 851816 869200 880754 896000 898880 918400 921352 930608 949600 949760 973340 973504 983150 1003520 1004500 1006576 1028608 1038625 1038800 1049600 1063552 1064770 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3799040 3802750 3893360 3894016 3932600 4018000 4026304 4030915 4114432 4154500 4155200 4198400 4254208 4259080 4346000 4403770 4404512 4450304 4494400 4592000 4606760 4653040 4748000 4748800 4769366 4861952 4866700 4867520 4915750 5017600 5032880 5033728 5143040 5158702 5194000 5248000 5317760 5318656 5323850 5427200 5450704 5505640 5562880 5618000 5643281 5752832 5758450 5816300 5877760 5936000 6077440 6083375 6084400 6165278 6229376 6272000 6291100 6292160 6428800 6449464 6647200 6648320 6668566 6784000 6813380 6814528 6882050 6953600 7046032 7191040 7270375 7347200 7370816 7444864 7596800 7598080 7605500 7786720 7788032 7863875 7865200 8036000 8052608 8061830 8228864 8309000 8310400 8508416 8516725 8518160 8692000 8807540 8809024 8900608 8988800 9184000 9213520 9306080 9496000 9497600 9538732 9733400 9735040 9831500 10065760 10067456 10286080 10317404 10388000 10496000 10635520 10637312 10647700 10901408 11009425 11011280 11125760 11236000 11286562 11505664 11516900 11632600 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1674643636750 1707152896000 1714835084032 1749831718400 1848878796800 1913878442000 1959811524608 2022211184000 2091262297600 2143543855040 2187289648000 2311098496000 2390014054400 2449764405760 2588430315520 2614077872000 2679429818800 2799730749440 2889359872000 2987517568000 3062205507200 3235537894400 3346019676160 3349287273500 3429670168064 3499663436800 3827756884000 3919623049216 4044422368000 4182524595200 4287087710080 4374579296000 4622196992000 4899528811520 5228155744000 5358859637600 5975035136000 6124411014400 6471075788800 6698574547000 6859340336128 6999326873600 7655513768000 8088844736000 8365049190400 8574175420160 8749158592000 9244393984000 9799057623040 10456311488000 10717719275200 11950070272000 12248822028800 12942151577600 13397149094000 13718680672256 13998653747200 15311027536000 16177689472000 16730098380800 17148350840320 17498317184000 19598115246080 20912622976000 21435438550400 24497644057600 26794298188000 27437361344512 30622055072000 32355378944000 34296701680640 34996634368000 41825245952000 42870877100800 48995288115200 53588596376000 61244110144000 64710757888000 68593403361280 69993268736000 83650491904000 85741754201600 97990576230400 107177192752000 122488220288000 137186806722560 171483508403200 214354385504000 244976440576000 342967016806400 428708771008000 489952881152000 685934033612800 857417542016000 1714835084032000 3429670168064000
- Sum of all divisors σ(n): 10404553771868256
- Sum of proper divisors (its aliquot sum) s(n): 6974883603804256
- 3429670168064000 is an abundant number, because the sum of its proper divisors (6974883603804256) is greater than itself. Its abundance is 3545213435740256
Bases of 3429670168064000
- Binary: 11000010111101000100010100000001000001110000000000002
- Hexadecimal: 0xC2F4450107000
- Base-36: XRPSQ2LSZK
Squares and roots of 3429670168064000
- 3429670168064000 squared (34296701680640002) is 11762637461708146005508096000000
- 3429670168064000 cubed (34296701680640003) is 40341966800172479475228801878032646144000000000
-
The
square root of 3429670168064000 is 58563385.8999289761 -
The
cube root of 3429670168064000 is 150805.5941243857
Scales and comparisons
How big is 3429670168064000?- 3,429,670,168,064,000 seconds is equal to 109,052,902 years, 35 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 3,429,670,168,064,000 would take you about three hundred twenty-seven million, one hundred fifty-eight thousand, seven 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 3429670168064000 cubic inches would be around 12567.1 feet tall.
Recreational maths with 3429670168064000
- 3429670168064000 backwards is 0004608610769243
- 3429670168064000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3429670168064000's digits is 56
- More coming soon!
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Cite this page
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"Number 3429670168064000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 3429670168064000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/3429670168064000/
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The information we have on file for 3429670168064000 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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