164424121759825920
164,424,121,759,825,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 164424121759825920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2496 divisors.
164424121759825920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 164424121759825920:
225 × 33 × 5 × 312 × 107 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 31 × 31 × 107 × 353)See below for interesting mathematical facts about the number 164424121759825920 from the Numbermatics database.
Names of 164424121759825920
- Cardinal: 164424121759825920 can be written as One hundred sixty-four quadrillion, four hundred twenty-four trillion, one hundred twenty-one billion, seven hundred fifty-nine million, eight hundred twenty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.6442412175982592 × 1017
Factors of 164424121759825920
Divisors of 164424121759825920
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 62 64 72 80 90 93 96 107 108 120 124 128 135 144 155 160 180 186 192 214 216 240 248 256 270 279 288 310 320 321 353 360 372 384 428 432 465 480 496 512 535 540 558 576 620 640 642 706 720 744 768 837 856 864 930 960 961 963 992 1024 1059 1070 1080 1116 1152 1240 1280 1284 1395 1412 1440 1488 1536 1605 1674 1712 1728 1765 1860 1920 1922 1926 1984 2048 2118 2140 2160 2232 2304 2480 2560 2568 2790 2824 2880 2883 2889 2976 3072 3177 3210 3317 3348 3424 3456 3530 3720 3840 3844 3852 3968 4096 4185 4236 4280 4320 4464 4608 4805 4815 4960 5120 5136 5295 5580 5648 5760 5766 5778 5952 6144 6354 6420 6634 6696 6848 6912 7060 7440 7680 7688 7704 7936 8192 8370 8472 8560 8640 8649 8928 9216 9531 9610 9630 9920 9951 10240 10272 10590 10943 11160 11296 11520 11532 11556 11904 12288 12708 12840 13268 13392 13696 13824 14120 14415 14445 14880 15360 15376 15408 15872 15885 16384 16585 16740 16944 17120 17280 17298 17856 18432 19062 19220 19260 19840 19902 20480 20544 21180 21886 22320 22592 23040 23064 23112 23808 24576 25416 25680 25947 26536 26784 27392 27648 28240 28830 28890 29760 29853 30720 30752 30816 31744 31770 32768 32829 33170 33480 33888 34240 34560 34596 35712 36864 37771 38124 38440 38520 39680 39804 40960 41088 42360 43245 43772 44640 45184 46080 46128 46224 47616 47655 49152 49755 50832 51360 51894 53072 53568 54715 54784 55296 56480 57660 57780 59520 59706 61440 61504 61632 63488 63540 65536 65658 66340 66960 67776 68480 69120 69192 71424 73728 75542 76248 76880 77040 79360 79608 81920 82176 84720 86490 87544 89280 89559 90368 92160 92256 92448 95232 95310 98304 98487 99510 101664 102720 102827 103788 106144 107136 109430 109568 110592 112960 113313 115320 115560 119040 119412 122880 123008 123264 126976 127080 129735 131072 131316 132680 133920 135552 136960 138240 138384 142848 147456 149265 151084 152496 153760 154080 158720 159216 163840 164145 164352 169440 172980 175088 178560 179118 180736 184320 184512 184896 188855 190464 190620 196608 196974 199020 203328 205440 205654 207576 212288 214272 218860 219136 221184 225920 226626 230640 231120 238080 238824 245760 246016 246528 253952 254160 259470 262144 262632 265360 267840 271104 273920 276480 276768 285696 294912 295461 298530 302168 304992 307520 308160 308481 317440 318432 327680 328290 328704 338880 339233 339939 345960 350176 357120 358236 361472 368640 369024 369792 377710 380928 381240 393216 393948 398040 406656 410880 411308 415152 424576 428544 437720 438272 442368 447795 451840 453252 461280 462240 476160 477648 491520 492032 492435 493056 507904 508320 514135 518940 524288 525264 530720 535680 542208 547840 552960 553536 566565 571392 589824 590922 597060 604336 609984 615040 616320 616962 634880 636864 655360 656580 657408 677760 678466 679878 691920 700352 714240 716472 722944 737280 738048 739584 755420 761856 762480 786432 787896 796080 813312 821760 822616 830304 849152 857088 875440 876544 884736 895590 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3234657730560 3304675344384 3345217320960 3450301579264 3453127557120 3557115822080 3564518768640 3568231809024 3638989946880 3683336060928 3756376719360 3802153353216 3881589276672 4001755299840 4014260785152 4130844180480 4143753068544 4268538986496 4277422522368 4312876974080 4353184235520 4460289761280 4604170076160 4752691691520 4757642412032 4802106359808 4851986595840 4911114747904 4957013016576 5008502292480 5017825981440 5175452368896 5179691335680 5335673733120 5346778152960 5352347713536 5507792240640 5525004091392 5691385315328 5703230029824 5822383915008 5947053015040 6002632949760 6138893434880 6196266270720 6336922255360 6402808479744 6469315461120 6690434641920 6906255114240 7114231644160 7129037537280 7136463618048 7277979893760 7366672121856 7512753438720 7763178553344 8003510599680 8028521570304 8261688360960 8287506137088 8537077972992 8554845044736 8625753948160 8920579522560 9208340152320 9505383383040 9515284824064 9604212719616 9703973191680 9822229495808 9914026033152 10035651962880 10350904737792 10359382671360 10671347466240 10693556305920 10704695427072 11050008182784 11382770630656 11406460059648 11644767830016 11894106030080 12005265899520 12277786869760 12392532541440 12805616959488 12938630922240 13380869283840 13812510228480 14228463288320 14258075074560 14272927236096 14555959787520 14733344243712 15025506877440 15526357106688 16007021199360 16057043140608 16523376721920 16575012274176 17074155945984 17109690089472 17251507896320 17841159045120 18416680304640 19010766766080 19030569648128 19208425439232 19407946383360 19644458991616 20071303925760 20718765342720 21342694932480 21387112611840 21409390854144 22100016365568 23289535660032 23788212060160 24010531799040 24555573739520 24785065082880 25611233918976 25877261844480 26761738567680 27625020456960 28456926576640 28516150149120 28545854472192 29111919575040 29466688487424 31052714213376 32014042398720 32114086281216 33150024548352 34148311891968 34219380178944 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192084254392320 196444589916160 214093908541440 221000163655680 228366835777536 232895356600320 256112339189760 256912690249728 265200196386816 285458544721920 294666884874240 304489114370048 307334807027712 321140862812160 331500245483520 342550253666304 353600261849088 380611392962560 384168508784640 428187817082880 442000327311360 456733671555072 465790713200640 512224678379520 513825380499456 530400392773632 570917089443840 589333769748480 608978228740096 642281725624320 663000490967040 685100507332608 761222785925120 768337017569280 856375634165760 884000654622720 913467343110144 1027650760998912 1060800785547264 1141834178887680 1217956457480192 1284563451248640 1326000981934080 1370201014665216 1522445571850240 1536674035138560 1712751268331520 1768001309245440 1826934686220288 2055301521997824 2283668357775360 2569126902497280 2652001963868160 2740402029330432 3044891143700480 3425502536663040 3653869372440576 4110603043995648 4567336715550720 5138253804994560 5304003927736320 5480804058660864 6089782287400960 6851005073326080 8221206087991296 9134673431101440 10276507609989120 10961608117321728 13702010146652160 16442412175982592 18269346862202880 20553015219978240 27404020293304320 32884824351965184 41106030439956480 54808040586608640 82212060879912960 164424121759825920
- Sum of all divisors σ(n): 611459065887477120
- Sum of proper divisors (its aliquot sum) s(n): 447034944127651200
- 164424121759825920 is an abundant number, because the sum of its proper divisors (447034944127651200) is greater than itself. Its abundance is 282610822367825280
Bases of 164424121759825920
- Binary: 10010010000010011011011110000110100000000000000000000000002
- Hexadecimal: 0x24826DE1A000000
- Base-36: 18YZHIRAS5C0
Squares and roots of 164424121759825920
- 164424121759825920 squared (1644241217598259202) is 27035291816490059595368068703846400
- 164424121759825920 cubed (1644241217598259203) is 4445254113446986831139041071002924180537698418688000
-
The
square root of 164424121759825920 is 405492443.5298713677 -
The
cube root of 164424121759825920 is 547841.8143242095
Scales and comparisons
How big is 164424121759825920?- 164,424,121,759,825,920 seconds is equal to 5,228,178,474 years, 39 weeks, 3 days, 19 hours, 12 minutes.
-
To count from 1 to 164,424,121,759,825,920 would take you about fifteen billion, six hundred eighty-four million, five hundred thirty-five thousand, four hundred twenty-four 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 164424121759825920 cubic inches would be around 45653.5 feet tall.
Recreational maths with 164424121759825920
- 164424121759825920 backwards is 029528957121424461
- 164424121759825920 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 164424121759825920's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 164424121759825920 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 164424121759825920 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/164424121759825920/
Chicago style:
Numbermatics. 2024. "Number 164424121759825920 - Facts about the integer". https://numbermatics.com/n/164424121759825920/
The information we have on file for 164424121759825920 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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