164294421984
164,294,421,984 is an even composite number composed of eight prime numbers multiplied together.
164294421984 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 164294421984:
25 × 33 × 7 × 11 × 29 × 31 × 41 × 67
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 29 × 31 × 41 × 67)See below for interesting mathematical facts about the number 164294421984 from the Numbermatics database.
Names of 164294421984
- Cardinal: 164294421984 can be written as One hundred sixty-four billion, two hundred ninety-four million, four hundred twenty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.64294421984 × 1011
Factors of 164294421984
Divisors of 164294421984
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 29 31 32 33 36 41 42 44 48 54 56 58 62 63 66 67 72 77 82 84 87 88 93 96 99 108 112 116 123 124 126 132 134 144 154 164 168 174 176 186 189 198 201 203 216 217 224 231 232 246 248 252 261 264 268 279 287 288 297 308 319 328 336 341 348 352 369 372 378 396 402 406 432 434 451 462 464 469 492 496 504 522 528 536 558 574 594 603 609 616 638 651 656 672 682 693 696 737 738 744 756 783 792 804 812 837 861 864 868 899 902 924 928 938 957 984 992 1008 1023 1044 1056 1072 1107 1116 1148 1188 1189 1206 1218 1232 1271 1276 1302 1312 1353 1364 1386 1392 1407 1474 1476 1488 1512 1566 1584 1608 1624 1674 1722 1736 1798 1804 1809 1827 1848 1876 1914 1943 1953 1968 2016 2046 2077 2079 2088 2144 2211 2214 2232 2233 2296 2376 2378 2387 2412 2436 2464 2542 2552 2583 2604 2697 2706 2728 2747 2772 2784 2814 2871 2948 2952 2976 3024 3069 3132 3157 3168 3216 3248 3348 3444 3472 3567 3596 3608 3618 3654 3696 3752 3813 3828 3886 3906 3936 4059 4092 4154 4158 4176 4221 4422 4428 4464 4466 4592 4752 4756 4774 4824 4872 5084 5104 5159 5166 5208 5394 5412 5456 5481 5494 5544 5628 5742 5829 5859 5896 5904 6048 6138 6231 6264 6293 6314 6432 6496 6633 6696 6699 6888 6944 7134 7161 7192 7216 7236 7308 7392 7504 7626 7656 7749 7772 7812 8091 8118 8184 8241 8308 8316 8323 8352 8442 8613 8844 8856 8897 8928 8932 9184 9207 9471 9504 9512 9548 9648 9744 9889 10168 10208 10318 10332 10416 10701 10788 10824 10912 10962 10988 11088 11256 11439 11484 11658 11718 11792 11808 12177 12276 12462 12528 12586 12628 12663 13079 13266 13392 13398 13601 13776 13981 14268 14322 14384 14432 14472 14539 14616 15008 15252 15312 15477 15498 15544 15624 16182 16236 16368 16482 16616 16632 16646 16884 17226 17487 17688 17712 17794 17864 18414 18693 18879 18942 19024 19096 19229 19296 19488 19778 19899 20097 20336 20636 20664 20832 21373 21402 21483 21576 21648 21924 21976 22176 22512 22847 22878 22968 23316 23436 23584 24273 24354 24552 24723 24924 24969 25056 25172 25256 25326 26158 26532 26691 26784 26796 27202 27552 27962 28413 28536 28644 28768 28944 29078 29232 29667 30217 30504 30624 30954 30996 31088 31248 32103 32364 32472 32736 32964 33232 33264 33292 33768 34317 34452 34974 35376 35424 35588 35728 36828 36859 37386 37758 37884 38048 38192 38458 39237 39556 39798 40194 40672 40803 41272 41328 41943 42746 42804 42966 43152 43296 43617 43848 43952 45024 45694 45756 45936 46431 46632 46872 48546 48708 49104 49446 49848 49938 50344 50512 50652 52316 52461 53064 53382 53592 54404 55924 56079 56637 56826 57072 57288 57687 57888 58156 58464 59334 60233 60291 60434 61008 61908 61992 62176 62496 64119 64206 64449 64728 64944 65928 66464 66528 66584 67536 68541 68634 68904 69223 69948 70752 71176 71456 73656 73718 74169 74772 74907 75516 75768 76384 76916 78474 79112 79596 79663 80073 80388 81606 82544 82656 83886 85157 85239 85492 85608 85932 86304 87234 87696 87904 89001 90651 91388 91512 91553 91872 92862 93264 93744 97092 97416 97867 98208 98892 99696 99876 100688 101024 101304 104632 104922 106128 106764 107184 108808 110577 111848 112158 113274 113652 114144 114576 115374 116312 117711 118668 120466 120582 120868 122016 122409 123816 123984 125829 128238 128412 128898 129456 129888 130851 131856 133168 135072 137082 137268 137808 138446 139293 139896 142352 147312 147436 148338 149544 149611 149814 151032 151536 153832 156948 158224 159192 159326 159929 160146 160776 163212 165088 167772 169911 170314 170478 170984 171216 171864 173061 174468 175392 178002 180699 181302 182776 183024 183106 185724 186528 187488 192357 194184 194832 195734 197784 199392 199752 201376 202608 205623 207669 209264 209844 211519 212256 213528 214368 217616 221154 223696 224316 224721 226548 227304 229152 230748 232624 235422 237336 238989 240219 240932 241164 241736 244818 247632 247968 251658 255471 256476 256824 257796 258013 258912 261702 263712 266336 267003 271953 274164 274536 274659 275616 276892 278586 279792 284704 293601 294624 294872 296676 299088 299222 299628 302064 303072 307664 313896 316448 318384 318652 319858 320292 321552 326424 331731 335544 339822 340628 340956 341968 342432 343728 346122 348936 353133 356004 361398 362604 365552 366048 366212 367227 371448 377487 384714 388368 389664 391468 392553 395568 399504 405216 405449 411246 415338 418528 419688 421631 423038 427056 435232 442308 447392 448632 448833 449442 453096 454608 461496 465248 470844 474672 477978 479787 480438 481864 482328 483472 489636 495264 503316 510942 512952 513648 515592 516026 519183 523404 534006 542097 543906 548328 549072 549318 553784 557172 557641 559584 577071 587202 589744 593352 596099 598176 598444 599256 604128 615328 616869 623007 627792 634557 636768 637304 639716 640584 643104 652848 662563 663462 671088 679644 681256 681912 683936 687456 692244 697872 706266 712008 716967 722796 725208 731104 732424 734454 742896 754974 766413 769428 774039 776736 782936 785106 791136 799008 810898 815859 822492 823977 830676 839376 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6526872 6557089 6579936 6591816 6645408 6691692 6746096 6768608 6966351 7010344 7046424 7153188 7181328 7191072 7298082 7408659 7476084 7493816 7589358 7614684 7647648 7676592 7687008 7886637 7950756 7961544 8078994 8175072 8256416 8306928 8430543 8514429 8544096 8603604 8636166 8673552 8702496 8789088 8922256 9196956 9233136 9275882 9288468 9395232 9537584 9730776 9869904 9878212 9887724 9968112 10037538 10119144 10152912 10515516 10569636 10601008 10615392 10729782 10771992 10947123 11240724 11300256 11352572 11384037 11422026 11471472 11514888 11751264 11926134 12079584 12262608 12268102 12384624 12561696 12974368 13010328 13053744 13114178 13183632 13383384 13492192 13913823 13932702 14020688 14092848 14306376 14362656 14596164 14817318 14952168 14987632 15056307 15178716 15229368 15353184 15773274 15901512 15923088 16094673 16157988 16613856 16861086 17028858 17207208 17272332 17286871 17347104 17844512 17889201 18393912 18402153 18466272 18551764 18576936 19075168 19461552 19671267 19739808 19756424 19775448 19936224 20075076 20238288 20305824 21031032 21139272 21202016 21459564 21543984 21894246 22225977 22481448 22705144 22768074 22844052 22942944 23029776 23659911 23852268 24525216 24536204 24769248 25291629 25543287 26020656 26107488 26228356 26367264 26766768 27165083 27827646 27865404 28041376 28185696 28612752 29192328 29634636 29904336 29975264 30112614 30357432 30458736 31546548 31803024 31846176 32189346 32315976 33722172 34057716 34414416 34544664 34573742 35778402 36787824 36804306 37103528 37153872 38923104 39342534 39512848 39550896 40150152 40476576 41741469 42062064 42278544 42919128 43087968 43788492 44451954 44962896 45410288 45536148 45688104 46059552 47319822 47704536 49072408 50583258 51086574 51860613 52041312 52456712 53533536 54330166 55206459 55655292 55730808 57225504 58384656 59013801 59269272 59808672 60225228 60714864 60917472 63093096 63606048 64378692 64631952 66677931 67444344 68115432 68828832 69089328 69147484 71556804 73575648 73608612 74207056 74307744 76629861 78685068 79025696 79101792 80300304 81495249 83482938 84124128 84557088 85838256 87576984 88903908 89925792 90820576 91072296 91376208 94639644 95409072 98144816 101166516 102173148 103721226 104913424 108660332 110412918 111310584 111461616 116769312 118027602 118538544 120450456 121429728 125224407 126186192 128757384 129263904 133355862 134888688 136230864 138178656 138294968 143113608 147217224 148414112 153259722 155581839 157370136 160600608 162990498 165619377 166965876 171676512 175153968 177041403 177807816 182144592 182752416 189279288 190155581 190818144 196289632 202333032 204346296 207442452 209826848 217320664 220825836 222621168 222923232 236055204 237077088 240900912 244485747 250448814 252372384 257514768 266711724 269777376 272461728 276589936 286227216 294434448 306519444 311163678 314740272 325980996 331238754 333931752 350307936 354082806 355615632 364289184 378558576 380311162 404666064 408692592 414884904 434641328 441651672 445242336 466745517 472110408 481801824 488971494 500897628 515029536 533423448 553179872 570466743 572454432 588868896 613038888 622327356 629480544 651961992 662477508 667863504 708165612 711231264 733457241 757117152 760622324 809332128 817385184 829769808 869282656 883303344 933491034 944220816 977942988 1001795256 1066846896 1140933486 1226077776 1244654712 1303923984 1324955016 1335727008 1416331224 1466914482 1521244648 1659539616 1711400229 1766606688 1866982068 1888441632 1955885976 2003590512 2133693792 2281866972 2452155552 2489309424 2607847968 2649910032 2832662448 2933828964 3042489296 3422800458 3733964136 3911771952 4007181024 4563733944 4978618848 5134200687 5299820064 5665324896 5867657928 6084978592 6845600916 7467928272 7823543904 9127467888 10268401374 11735315856 13691201832 14935856544 18254935776 20536802748 23470631712 27382403664 41073605496 54764807328 82147210992 164294421984
- Sum of all divisors σ(n): 663286579200
- Sum of proper divisors (its aliquot sum) s(n): 498992157216
- 164294421984 is an abundant number, because the sum of its proper divisors (498992157216) is greater than itself. Its abundance is 334697735232
Bases of 164294421984
- Binary: 100110010000001011010111101101111000002
- Hexadecimal: 0x2640B5EDE0
- Base-36: 23H4NNC0
Squares and roots of 164294421984
- 164294421984 squared (1642944219842) is 26992657095056662496256
- 164294421984 cubed (1642944219843) is 4434742995244650908550550084091904
-
The
square root of 164294421984 is 405332.4832578805 -
The
cube root of 164294421984 is 5476.9772830457
Scales and comparisons
How big is 164294421984?- 164,294,421,984 seconds is equal to 5,224 years, 2 weeks, 5 days, 19 hours, 26 minutes, 24 seconds.
-
To count from 1 to 164,294,421,984 would take you about ten thousand, four hundred forty-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 164294421984 cubic inches would be around 456.4 feet tall.
Recreational maths with 164294421984
- 164294421984 backwards is 489124492461
- 164294421984 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 164294421984's digits is 54
- More coming soon!
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"Number 164294421984 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 164294421984 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/164294421984/
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The information we have on file for 164294421984 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!
Keywords: Divisors of 164294421984, math, Factors of 164294421984, curriculum, school, college, exams, university, Prime factorization of 164294421984, STEM, science, technology, engineering, physics, economics, calculator, one hundred sixty-four billion, two hundred ninety-four million, four hundred twenty-one thousand, nine hundred eighty-four.