4468128768000
4,468,128,768,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 4468128768000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2016 divisors.
4468128768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 4468128768000:
213 × 32 × 53 × 17 × 192 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 19 × 19 × 79)See below for interesting mathematical facts about the number 4468128768000 from the Numbermatics database.
Names of 4468128768000
- Cardinal: 4468128768000 can be written as Four trillion, four hundred sixty-eight billion, one hundred twenty-eight million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.468128768 × 1012
Factors of 4468128768000
Divisors of 4468128768000
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 30 32 34 36 38 40 45 48 50 51 57 60 64 68 72 75 76 79 80 85 90 95 96 100 102 114 120 125 128 136 144 150 152 153 158 160 170 171 180 190 192 200 204 225 228 237 240 250 255 256 272 285 288 300 304 306 316 320 323 340 342 360 361 375 380 384 395 400 408 425 450 456 474 475 480 500 510 512 544 570 576 600 608 612 632 640 646 680 684 711 720 722 750 760 765 768 790 800 816 850 855 900 912 948 950 960 969 1000 1020 1024 1083 1088 1125 1140 1152 1185 1200 1216 1224 1264 1275 1280 1292 1343 1360 1368 1422 1425 1440 1444 1500 1501 1520 1530 1536 1580 1600 1615 1632 1700 1710 1800 1805 1824 1896 1900 1920 1938 1975 2000 2040 2048 2125 2166 2176 2250 2280 2304 2370 2375 2400 2432 2448 2528 2550 2560 2584 2686 2720 2736 2844 2850 2880 2888 2907 3000 3002 3040 3060 3072 3160 3200 3230 3249 3264 3400 3420 3555 3600 3610 3648 3792 3800 3825 3840 3876 3950 4000 4029 4080 4096 4250 4275 4332 4352 4500 4503 4560 4608 4740 4750 4800 4845 4864 4896 5056 5100 5120 5168 5372 5415 5440 5472 5688 5700 5760 5776 5814 5925 6000 6004 6080 6120 6137 6144 6320 6375 6400 6460 6498 6528 6715 6800 6840 7110 7125 7200 7220 7296 7505 7584 7600 7650 7680 7752 7900 8000 8058 8075 8160 8192 8500 8550 8664 8704 9000 9006 9025 9120 9216 9480 9500 9600 9690 9728 9792 9875 10112 10200 10240 10336 10744 10830 10880 10944 11376 11400 11520 11552 11628 11850 12000 12008 12087 12160 12240 12274 12288 12640 12750 12800 12920 12996 13056 13430 13509 13600 13680 14220 14250 14400 14440 14535 14592 15010 15168 15200 15300 15360 15504 15800 16000 16116 16150 16245 16320 17000 17100 17328 17408 17775 18000 18012 18050 18240 18411 18432 18960 19000 19125 19200 19380 19456 19584 19750 20145 20224 20400 20480 20672 21375 21488 21660 21760 21888 22515 22752 22800 23040 23104 23256 23700 24000 24016 24174 24225 24320 24480 24548 24576 25280 25500 25517 25600 25840 25992 26112 26860 27018 27075 27200 27360 28440 28500 28519 28800 28880 29070 29184 29625 30020 30336 30400 30600 30685 30720 31008 31600 32000 32232 32300 32490 32640 33575 34000 34200 34656 34816 35550 36000 36024 36100 36480 36822 36864 37525 37920 38000 38250 38400 38760 38912 39168 39500 40290 40375 40448 40800 40960 41344 42750 42976 43320 43520 43776 45030 45125 45504 45600 46080 46208 46512 47400 48000 48032 48348 48450 48640 48960 49096 50560 51000 51034 51200 51680 51984 52224 53720 54036 54150 54400 54720 55233 56880 57000 57038 57600 57760 58140 58368 59250 60040 60435 60672 60800 61200 61370 61440 62016 63200 64000 64464 64600 64980 65280 67150 67545 68000 68400 69312 69632 71100 72000 72048 72200 72675 72960 73644 73728 75050 75840 76000 76500 76551 76800 77520 77824 78336 79000 80580 80750 80896 81225 81600 82688 85500 85557 85952 86640 87040 87552 88875 90060 90250 91008 91200 92055 92160 92416 93024 94800 96000 96064 96696 96900 97280 97920 98192 100725 101120 102000 102068 102400 103360 103968 104448 107440 108072 108300 108800 109440 110466 112575 113760 114000 114076 115200 115520 116280 116736 118500 120080 120870 121125 121344 121600 122400 122740 122880 124032 126400 127585 128000 128928 129200 129960 130560 134300 135090 135375 136000 136800 138624 139264 142200 142595 144000 144096 144400 145350 145920 147288 150100 151680 152000 153000 153102 153425 153600 155040 155648 156672 158000 161160 161500 161792 162450 163200 165376 167875 171000 171114 171904 173280 174080 175104 177750 180120 180500 182016 182400 184110 184320 184832 186048 187625 189600 192000 192128 193392 193800 194560 195840 196384 201450 202240 204000 204136 204800 206720 207936 208896 214880 216144 216600 217600 218880 220932 225150 227520 228000 228152 229653 230400 231040 232560 233472 237000 240160 241740 242250 242688 243200 244800 245480 248064 252800 255170 256000 256671 257856 258400 259920 261120 268600 270180 270750 272000 273600 276165 277248 284400 285190 288000 288192 288800 290700 291840 294576 300200 302175 303360 304000 306000 306204 306850 307200 310080 313344 316000 322320 323000 323584 324900 326400 330752 335750 337725 342000 342228 343808 346560 348160 350208 355500 360240 361000 363375 364032 364800 368220 368640 369664 372096 375250 379200 382755 384000 384256 386784 387600 389120 391680 392768 402900 404480 406125 408000 408272 413440 415872 417792 427785 429760 432288 433200 435200 437760 441864 450300 455040 456000 456304 459306 460275 460800 462080 465120 466944 474000 480320 483480 484500 484823 485376 486400 489600 490960 496128 503625 505600 510340 512000 513342 515712 516800 519840 522240 537200 540360 541500 544000 547200 552330 554496 562875 568800 570380 576000 576384 577600 581400 583680 589152 600400 604350 606720 608000 612000 612408 613700 614400 620160 626688 632000 637925 644640 646000 647168 649800 652800 661504 671500 675450 684000 684456 687616 693120 696320 700416 711000 712975 720480 722000 726750 728064 729600 736440 739328 744192 750500 758400 765510 767125 768000 768512 773568 775200 778240 783360 785536 805800 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4158720 4277850 4297600 4322880 4332000 4352000 4363407 4377600 4418640 4435968 4503000 4550400 4563040 4593060 4602750 4608000 4611072 4620800 4651200 4713216 4803200 4834800 4848230 4853760 4864000 4896000 4899264 4909600 4961280 5056000 5103400 5133420 5157120 5168000 5198400 5222400 5372000 5403600 5472000 5475648 5500928 5523300 5544960 5688000 5703800 5741325 5763840 5776000 5814000 5817876 5824512 5836800 5891520 5953536 6004000 6043500 6067200 6124080 6137000 6148096 6188544 6201600 6266880 6284288 6379250 6416775 6446400 6498000 6528000 6532352 6615040 6653952 6754500 6844560 6876160 6904125 6916608 6931200 7004160 7069824 7129750 7204800 7272345 7280640 7296000 7300864 7348896 7364400 7393280 7441920 7584000 7655100 7685120 7735680 7752000 7757168 7833600 7855360 7938048 8058000 8089600 8165440 8213472 8251392 8268800 8317440 8555700 8595200 8645760 8664000 8704000 8726814 8755200 8837280 8871936 9006000 9100800 9126080 9186120 9205500 9216000 9222144 9241600 9302400 9426432 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2920345600 2939558400 2976768000 2978752512 3094272000 3102867200 3135528960 3142144000 3266176000 3285388800 3326976000 3458304000 3490725600 3504414720 3534912000 3650432000 3674448000 3723440640 3770572800 3878584000 3919411200 3971670016 4106736000 4125696000 4363407000 4380518400 4468128768 4611072000 4654300800 4703293440 4713216000 4899264000 4964587520 5225881600 5256622080 5475648000 5585160960 5655859200 5817876000 5840691200 5879116800 5957505024 6188544000 6205734400 6284288000 6532352000 6570777600 6916608000 6981451200 7069824000 7300864000 7348896000 7446881280 7757168000 7838822400 8213472000 8726814000 8761036800 8936257536 9308601600 9406586880 9426432000 9798528000 9929175040 10513244160 10951296000 11170321920 11311718400 11635752000 11758233600 11915010048 12377088000 12411468800 13064704000 13141555200 13833216000 13962902400 14139648000 14601728000 14697792000 14893762560 15514336000 15677644800 16426944000 17453628000 17522073600 17872515072 18617203200 18852864000 19597056000 19858350080 21902592000 22340643840 23271504000 23516467200 24822937600 26129408000 26283110400 27925804800 28279296000 29203456000 29395584000 29787525120 31028672000 32853888000 34907256000 35745030144 37234406400 39194112000 43805184000 44681287680 46543008000 47032934400 49645875200 52566220800 55851609600 56558592000 58791168000 59575050240 62057344000 65707776000 69814512000 74468812800 78388224000 87610368000 89362575360 93086016000 99291750400 111703219200 117582336000 124114688000 131415552000 139629024000 148937625600 178725150720 186172032000 223406438400 235164672000 248229376000 262831104000 279258048000 297875251200 372344064000 446812876800 496458752000 558516096000 744688128000 893625753600 1117032192000 1489376256000 2234064384000 4468128768000
- Sum of all divisors σ(n): 18228412575360
- Sum of proper divisors (its aliquot sum) s(n): 13760283807360
- 4468128768000 is an abundant number, because the sum of its proper divisors (13760283807360) is greater than itself. Its abundance is 9292155039360
Bases of 4468128768000
- Binary: 10000010000010100010011101001100000000000002
- Hexadecimal: 0x410513A6000
- Base-36: 1L0MOI680
Squares and roots of 4468128768000
- 4468128768000 squared (44681287680002) is 19964174687429197824000000
- 4468128768000 cubed (44681287680003) is 89202503250279806760577400832000000000
-
The
square root of 4468128768000 is 2113794.8736809823 -
The
cube root of 4468128768000 is 16470.5673862241
Scales and comparisons
How big is 4468128768000?- 4,468,128,768,000 seconds is equal to 142,072 years, 35 weeks, 8 hours.
-
To count from 1 to 4,468,128,768,000 would take you about three hundred fifty-five thousand, one hundred eighty-one 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 4468128768000 cubic inches would be around 1372.5 feet tall.
Recreational maths with 4468128768000
- 4468128768000 backwards is 0008678218644
- The number of decimal digits it has is: 13
- The sum of 4468128768000's digits is 54
- More coming soon!
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The information we have on file for 4468128768000 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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