29664135168000
29,664,135,168,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 29664135168000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
29664135168000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 29664135168000:
214 × 3 × 53 × 19 × 592 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 59 × 59 × 73)See below for interesting mathematical facts about the number 29664135168000 from the Numbermatics database.
Names of 29664135168000
- Cardinal: 29664135168000 can be written as Twenty-nine trillion, six hundred sixty-four billion, one hundred thirty-five million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 2.9664135168 × 1013
Factors of 29664135168000
Divisors of 29664135168000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 59 60 64 73 75 76 80 95 96 100 114 118 120 125 128 146 150 152 160 177 190 192 200 219 228 236 240 250 256 285 292 295 300 304 320 354 365 375 380 384 400 438 456 472 475 480 500 512 570 584 590 600 608 640 708 730 750 760 768 800 876 885 912 944 950 960 1000 1024 1095 1121 1140 1168 1180 1200 1216 1280 1387 1416 1425 1460 1475 1500 1520 1536 1600 1752 1770 1824 1825 1888 1900 1920 2000 2048 2190 2242 2280 2336 2360 2375 2400 2432 2560 2774 2832 2850 2920 2950 3000 3040 3072 3200 3363 3481 3504 3540 3648 3650 3776 3800 3840 4000 4096 4161 4307 4380 4425 4484 4560 4672 4720 4750 4800 4864 5120 5475 5548 5605 5664 5700 5840 5900 6000 6080 6144 6400 6726 6935 6962 7008 7080 7125 7296 7300 7375 7552 7600 7680 8000 8192 8322 8614 8760 8850 8968 9120 9125 9344 9440 9500 9600 9728 10240 10443 10950 11096 11210 11328 11400 11680 11800 12000 12160 12288 12800 12921 13452 13870 13924 14016 14160 14250 14592 14600 14750 15104 15200 15360 16000 16384 16644 16815 17228 17405 17520 17700 17936 18240 18250 18688 18880 19000 19200 19456 20480 20805 20886 21535 21900 22125 22192 22420 22656 22800 23360 23600 24000 24320 24576 25600 25842 26904 27375 27740 27848 28025 28032 28320 28500 29184 29200 29500 30208 30400 30720 32000 33288 33630 34456 34675 34810 35040 35400 35872 36480 36500 37376 37760 38000 38400 38912 40960 41610 41772 43070 43800 44250 44384 44840 45312 45600 46720 47200 48000 48640 49152 51200 51684 52215 53808 54750 55480 55696 56050 56064 56640 57000 58368 58400 59000 60416 60800 61440 64000 64605 66139 66576 67260 68912 69350 69620 70080 70800 71744 72960 73000 74752 75520 76000 76800 77824 81833 81920 83220 83544 84075 86140 87025 87600 88500 88768 89680 90624 91200 93440 94400 96000 97280 102400 103368 104025 104430 107616 107675 109500 110960 111392 112100 112128 113280 114000 116736 116800 118000 120832 121600 122880 128000 129210 132278 133152 134520 137824 138700 139240 140125 140160 141600 143488 145920 146000 149504 151040 152000 153600 155648 163666 166440 167088 168150 172280 173375 174050 175200 177000 177536 179360 181248 182400 186880 188800 192000 194560 198417 204800 206736 208050 208860 215232 215350 219000 221920 222784 224200 224256 226560 228000 233472 233600 236000 241664 243200 245499 245760 254113 256000 258420 261075 264556 266304 269040 275648 277400 278480 280250 280320 283200 286976 291840 292000 299008 302080 304000 307200 311296 323025 327332 330695 332880 334176 336300 344560 346750 348100 350400 354000 355072 358720 362496 364800 373760 377600 384000 389120 396834 409165 409600 413472 416100 417720 420375 430464 430700 435125 438000 443840 445568 448400 448512 453120 456000 466944 467200 472000 483328 486400 490998 508226 512000 516840 520125 522150 529112 532608 538080 538375 551296 554800 556960 560500 560640 566400 573952 583680 584000 598016 604160 608000 614400 646050 654664 661390 665760 668352 672600 689120 693500 696200 700800 708000 710144 717440 724992 729600 747520 755200 762339 768000 778240 793668 818330 826944 832200 835440 840750 860928 861400 870250 876000 887680 891136 896800 897024 906240 912000 933888 934400 944000 966656 972800 981996 992085 1016452 1024000 1033680 1040250 1044300 1058224 1065216 1076160 1076750 1102592 1109600 1113920 1121000 1121280 1132800 1147904 1167360 1168000 1196032 1208320 1216000 1227495 1228800 1270565 1292100 1305375 1309328 1322780 1331520 1336704 1345200 1378240 1387000 1392400 1401600 1416000 1420288 1434880 1449984 1459200 1495040 1510400 1524678 1536000 1556480 1587336 1615125 1636660 1653475 1653888 1664400 1670880 1681500 1721856 1722800 1740500 1752000 1775360 1782272 1793600 1794048 1812480 1824000 1868800 1888000 1945600 1963992 1984170 2032904 2045825 2048000 2067360 2080500 2088600 2116448 2130432 2152320 2153500 2205184 2219200 2227840 2242000 2242560 2265600 2295808 2334720 2336000 2416640 2432000 2454990 2541130 2584200 2610750 2618656 2645560 2663040 2673408 2690400 2756480 2774000 2784800 2803200 2832000 2840576 2869760 2899968 2918400 2990080 3020800 3049356 3072000 3174672 3230250 3273320 3306950 3307776 3328800 3341760 3363000 3443712 3445600 3481000 3504000 3550720 3564544 3587200 3588096 3624960 3648000 3737600 3776000 3811695 3891200 3927984 3968340 4065808 4091650 4134720 4161000 4177200 4232896 4260864 4304640 4307000 4410368 4438400 4455680 4484000 4485120 4531200 4591616 4669440 4672000 4828147 4833280 4864000 4909980 4960425 5082260 5168400 5221500 5237312 5291120 5326080 5346816 5380800 5512960 5548000 5569600 5606400 5664000 5681152 5739520 5836800 5980160 6041600 6098712 6137475 6144000 6349344 6352825 6460500 6546640 6613900 6615552 6657600 6683520 6726000 6887424 6891200 6962000 7008000 7101440 7129088 7174400 7249920 7296000 7475200 7552000 7623390 7782400 7855968 7936680 8131616 8183300 8267375 8269440 8322000 8354400 8465792 8521728 8609280 8614000 8820736 8876800 8911360 8968000 8970240 9062400 9183232 9344000 9656294 9728000 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338631680 340869120 344371200 352829440 355072000 356454400 362111025 362496000 381169500 386251760 390317568 392798400 396834000 406358016 406580800 413472000 418984960 423289600 426086400 427745280 430464000 441036800 445568000 448512000 459161600 463502112 482814700 487896960 490998000 502781952 507947520 508226000 520423424 523731200 529112000 529244160 532608000 534681600 541810688 551296000 568115200 573952000 579377640 603518375 609871200 618002816 628477440 634934400 650529280 654664000 661555200 668352000 670375936 677263360 688742400 710144000 712908800 724222050 762339000 772503520 780635136 785596800 793668000 812716032 813161600 826944000 837969920 846579200 852172800 855490560 860928000 882073600 891136000 927004224 965629400 975793920 981996000 1005563904 1015895040 1016452000 1040846848 1047462400 1058224000 1058488320 1065216000 1069363200 1083621376 1102592000 1147904000 1158755280 1207036750 1219742400 1236005632 1256954880 1269868800 1301058560 1309328000 1323110400 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6349344000 6505292800 6615552000 6703759360 6772633600 6887424000 7129088000 7242220500 7416033792 7725035200 7806351360 7855968000 8127160320 8131616000 8379699200 8465792000 8521728000 8820736000 9270042240 9656294000 9757939200 9888045056 10055639040 10158950400 10408468480 10474624000 10693632000 11587552800 12197424000 12360056320 12490162176 12569548800 12698688000 13010585600 13231104000 13545267200 14484441000 14832067584 15450070400 15612702720 15711936000 16254320640 16263232000 16759398400 16931584000 18540084480 19312588000 19515878400 19776090112 20111278080 20317900800 20816936960 20949248000 21387264000 23175105600 24394848000 24720112640 25139097600 25397376000 26021171200 26462208000 27090534400 28968882000 29664135168 30900140800 31225405440 31423872000 32526464000 33518796800 33863168000 37080168960 38625176000 39031756800 39552180224 40635801600 41898496000 46350211200 48789696000 49440225280 50278195200 50794752000 52042342400 57937764000 59328270336 61800281600 62450810880 62847744000 65052928000 67726336000 74160337920 77250352000 78063513600 79104360448 81271603200 83796992000 92700422400 97579392000 98880450560 100556390400 101589504000 104084684800 115875528000 118656540672 123600563200 125695488000 130105856000 135452672000 148320675840 154500704000 156127027200 167593984000 185400844800 195158784000 197760901120 203179008000 231751056000 237313081344 247201126400 251390976000 260211712000 296641351680 309001408000 312254054400 370801689600 390317568000 395521802240 406358016000 463502112000 494402252800 502781952000 520423424000 593282703360 618002816000 741603379200 780635136000 927004224000 988804505600 1186565406720 1236005632000 1483206758400 1561270272000 1854008448000 1977609011200 2472011264000 2966413516800 3708016896000 4944022528000 5932827033600 7416033792000 9888045056000 14832067584000 29664135168000
- Sum of all divisors σ(n): 107154129613440
- Sum of proper divisors (its aliquot sum) s(n): 77489994445440
- 29664135168000 is an abundant number, because the sum of its proper divisors (77489994445440) is greater than itself. Its abundance is 47825859277440
Bases of 29664135168000
- Binary: 1101011111010101110000011110101000000000000002
- Hexadecimal: 0x1AFAB83D4000
- Base-36: AIJIK696O
Squares and roots of 29664135168000
- 29664135168000 squared (296641351680002) is 879960915265374388224000000
- 29664135168000 cubed (296641351680003) is 26103279532989060442402043461632000000000
-
The
square root of 29664135168000 is 5446479.1533613713 -
The
cube root of 29664135168000 is 30955.9329366317
Scales and comparisons
How big is 29664135168000?- 29,664,135,168,000 seconds is equal to 943,227 years, 38 weeks, 3 days, 18 hours, 40 minutes.
-
To count from 1 to 29,664,135,168,000 would take you about two million, three hundred fifty-eight thousand and sixty-nine 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 29664135168000 cubic inches would be around 2579.7 feet tall.
Recreational maths with 29664135168000
- 29664135168000 backwards is 00086153146692
- The number of decimal digits it has is: 14
- The sum of 29664135168000's digits is 51
- More coming soon!
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Numbermatics. (2024). Number 29664135168000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/29664135168000/
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The information we have on file for 29664135168000 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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