3972145828896

Names of 3972145828896

• Cardinal: 3972145828896 can be written as Three trillion, nine hundred seventy-two billion, one hundred forty-five million, eight hundred twenty-eight thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 3.972145828896 × 10¹²

Factors of 3972145828896

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 152

Divisors of 3972145828896

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 29 31 32 36 38 42 48 56 57 58 61 62 63 72 76 84 87 93 96 112 114 116 122 124 126 133 144 152 168 171 174 183 186 203 217 224 228 232 244 248 252 261 266 279 288 304 336 342 348 366 372 399 406 427 434 456 464 488 496 504 522 532 549 551 558 589 608 609 651 672 684 696 732 744 798 812 854 868 899 912 928 961 976 992 1008 1044 1064 1098 1102 1116 1159 1178 1197 1218 1281 1302 1368 1392 1464 1488 1596 1624 1653 1708 1736 1767 1769 1798 1824 1827 1891 1922 1952 1953 2016 2088 2128 2196 2204 2232 2318 2356 2394 2436 2562 2604 2697 2736 2784 2883 2928 2976 3192 3248 3306 3416 3472 3477 3534 3538 3596 3654 3721 3782 3843 3844 3857 3906 4123 4176 4256 4392 4408 4464 4636 4712 4788 4872 4959 5124 5208 5301 5307 5394 5472 5673 5766 5856 6293 6384 6496 6612 6727 6832 6944 6954 7068 7076 7192 7308 7442 7564 7686 7688 7714 7812 8091 8113 8246 8352 8649 8784 8816 8928 9272 9424 9576 9744 9918 10248 10416 10431 10602 10614 10788 11163 11346 11532 11571 12369 12383 12586 12768 13224 13237 13454 13664 13908 14136 14152 14384 14616 14884 15128 15372 15376 15428 15624 15921 16182 16226 16492 17019 17081 17298 17568 17632 18259 18544 18848 18879 19152 19488 19836 20181 20496 20832 20862 21204 21228 21576 22326 22692 23064 23142 24339 24738 24766 25172 26047 26448 26474 26908 27816 27869 28272 28304 28768 29232 29768 30256 30744 30752 30856 31248 31842 32364 32452 32984 33489 33611 34038 34162 34596 34713 35929 36518 37088 37107 37149 37758 38304 39672 39711 40362 40992 41724 42408 42456 43152 44652 45384 46128 46284 48678 49476 49532 50344 51243 52094 52896 52948 53816 54777 54839 55632 55738 56544 56608 56637 58464 58621 59536 60512 60543 61488 61712 62496 63684 64728 64904 65968 66978 67222 68076 68324 69192 69426 70699 71858 73017 73036 74214 74298 75516 78141 79344 79422 80724 83448 83607 84816 84912 86304 89304 90768 92256 92568 97356 98952 99064 100688 100833 102486 104188 105896 107632 107787 107909 109554 109678 111264 111447 111476 113274 115351 117242 119072 119133 119567 121086 122976 123424 127368 127813 129456 129808 131936 133956 134444 136152 136648 138384 138852 141398 143716 146034 146072 148428 148596 151032 153729 156282 158688 158844 161448 164331 164517 166896 167214 169632 169824 175863 178608 181536 185136 194712 195083 197904 198128 201376 201666 204972 208376 211792 212097 215264 215574 215818 219108 219356 222894 222952 226548 230702 234423 234484 235277 238266 239134 242172 250821 251503 254736 255626 258912 259616 267912 268888 272304 273296 276768 277704 282796 287432 292068 292144 296856 297192 302064 302499 307458 312564 317688 322896 323361 323727 328662 329034 333792 334428 346053 351726 357216 358701 370272 383439 383873 389424 390166 395808 396256 403332 409944 410347 416752 423584 424194 431148 431636 438216 438712 445788 445904 453096 461404 468846 468968 470554 476532 478268 484344 493551 494893 501642 503006 509472 511252 527589 529511 535824 537776 544608 546592 555408 565592 574864 584136 584288 585249 593712 594384 604128 604998 614916 625128 635376 636291 645792 646722 647454 657324 658068 668856 692106 703452 705831 717402 754509 755363 766878 767746 778848 780332 806664 807457 819888 820694 833504 848388 862296 863272 876432 877424 891576 891808 906192 922808 937692 937936 941108 953064 956536 968688 971181 987102 989786 1003284 1006012 1022504 1038159 1041941 1055178 1059022 1071648 1075552 1076103 1110816 1113799 1131184 1149728 1150317 1151619 1168272 1170498 1187424 1188768 1209996 1229832 1231041 1250256 1270752 1272582 1293444 1294908 1314648 1316136 1337712 1384212 1406904 1411662 1434804 1484679 1509018 1510726 1533756 1535492 1560664 1588533 1613328 1614914 1639776 1641388 1696776 1700009 1724592 1726544 1752864 1754848 1755747 1783152 1812384 1845616 1875384 1875872 1882216 1906128 1913072 1937376 1942362 1974204 1979572 2006568 2012024 2045008 2050271 2076318 2083882 2110356 2117493 2118044 2152206 2191669 2227598 2262368 2263527 2266089 2300634 2303238 2336544 2340996 2419992 2422371 2459664 2462082 2500512 2545164 2586888 2589816 2629296 2632272 2675424 2768424 2813808 2823324 2869608 2969358 3018036 3021452 3067512 3070984 3121328 3125823 3177066 3226656 3229828 3282776 3341397 3345179 3393552 3400018 3449184 3453088 3454857 3511494 3566304 3575881 3691232 3693123 3706577 3750768 3764432 3812256 3826144 3884724 3948408 3959144 4013136 4024048 4090016 4100542 4152636 4167764 4220712 4234986 4236088 4304412 4383338 4454037 4455196 4527054 4532178 4601268 4606476 4681992 4765599 4839984 4844742 4919328 4924164 5090328 5100027 5173776 5179632 5258592 5264544 5536848 5627616 5646648 5739216 5938716 6036072 6042904 6135024 6141968 6150813 6242656 6251646 6354132 6459656 6565552 6575007 6682794 6690358 6787104 6798267 6800036 6909714 7022988 7151762 7267113 7293587 7386246 7413154 7501536 7528864 7769448 7796593 7896816 7918288 8026272 8048096 8201084 8305272 8335528 8441424 8469972 8472176 8608824 8766676 8908074 8910392 9054108 9064356 9202536 9212952 9363984 9377469 9531198 9679968 9689484 9848328 10024191 10035537 10180656 10200054 10347552 10359264 10727643 11073696 11119731 11293296 11478432 11877432 11900063 12072144 12085808 12270048 12283936 12301626 12503292 12708264 12919312 13131104 13150014 13365588 13380716 13596534 13600072 13819428 14045976 14303524 14351897 14534226 14587174 14772492 14826308 15300081 15341683 15538896 15593186 15793632 15836576 16402168 16610544 16671056 16882848 16939944 16944352 17217648 17533352 17816148 17820784 18108216 18128712 18405072 18425904 18452439 18727968 18754938 19062396 19378968 19696656 19725021 20048382 20071074 20361312 20400108 21455286 21880761 22239462 22586592 23389779 23416253 23754864 23800126 24144288 24171616 24603252 25006584 25031167 25416528 25838624 26300028 26731176 26761432 27193068 27200144 27638856 28091952 28607048 28703794 29068452 29174348 29544984 29652616 30106611 30600162 30683366 31077792 31186372 32182929 32300171 32804336 33221088 33342112 33359193 33879888 34435296 35066704 35632296 35641568 35700189 36216432 36257424 36810144 36851808 36904878 37509876 38124792 38757936 39393312 39450042 40096764 40142148 40800216 42910572 43055691 43761522 44478924 46025049 46779558 46832506 47509728 47600252 49206504 50013168 50062334 50833056 52600056 53462352 53522864 54386136 54400288 55277712 56183904 57214096 57407588 58136904 58348696 59089968 59305232 60213222 61200324 61366732 62372744 63558401 64365858 64600342 65608672 65642283 66718386 67759776 67941739 70133408 70169337 70248759 71264592 71400378 72432864 72514848 73809756 75019752 75093501 76249584 77515872 78900084 80193528 80284296 81600432 85821144 86111382 87523044 88957848 92050098 93559116 93665012 95200504 96900513 98413008 100026336 100124668 103700549 105200112 106924704 107045728 107100567 108772272 110555424 114428192 114815176 116273808 116697392 118179936 118610464 120426444 122400648 122733464 124745488 127116802 128731716 129167073 129200684 131284566 133436772 135883478 138075147 140338674 140497518 142529184 142800756 147619512 150039504 150187002 152499168 157800168 160387056 160568592 163200864 171642288 172222764 175046088 177915696 184100196 187118232 187330024 190401008 190675203 193801026 196826016 200249336 203825217 207401098 210400224 210746277 214201134 217544544 225280503 226101197 229630352 232547616 233394784 240852888 244801296 245466928 249490976 254233604 257463432 258334146 258401368 262569132 266873544 271766956 276150294 280677348 280995036 285601512 290701539 295239024 300079008 300374004 311101647 315600336 320774112 321137184 343284576 344445528 350092176 355831392 368200392 374236464 374660048 380802016 381350406 387602052 400498672 407650434 414802196 421492554 428402268 444908807 450561006 452202394 459260704 475592173 481705776 489602592 490933856 508467208 514926864 516668292 516802736 525138264 533747088 543533912 552300588 561354696 561990072 571203024 572025609 581403078 590478048 600748008 611475651 622203294 631200672 678303591 688891056 700184352 725903843 736400784 748472928 749320096 762700812 775204104 800997344 815300868 829604392 842985108 856804536 889817614 901122012 904404788 933304941 951184346 963411552 1016934416 1029853728 1033336584 1033605472 1050276528 1067494176 1087067824 1104601176 1122709392 1123980144 1142406048 1144051218 1162806156 1201496016 1222951302 1244406588 1334726421 1356607182 1377782112 1426776519 1451807686 1472801568 1525401624 1550408208 1630601736 1659208784 1685970216 1713609072 1779635228 1802244024 1808809576 1866609882 1902368692 1970310431 2033868832 2034910773 2066673168 2100553056 2174135648 2177711529 2209202352 2245418784 2247960288 2288102436 2325612312 2402992032 2445902604 2488813176 2669452842 2713214364 2853553038 2903615372 3050803248 3100816416 3261203472 3318417568 3371940432 3427218144 3559270456 3604488048 3617619152 3733219764 3804737384 3940620862 4004179263 4069821546 4133346336 4280329557 4355423058 4418404704 4576204872 4651224624 4891805208 4977626352 5338905684 5426428728 5707106076 5807230744 5910931293 6101606496 6522406944 6533134587 6743880864 7118540912 7208976096 7235238304 7466439528 7609474768 7881241724 8008358526 8139643092 8560659114 8710846116 9152409744 9302449248 9783610416 9955252704 10677811368 10852857456 11414212152 11614461488 11821862586 13066269174 13792173017 14237081824 14932879056 15218949536 15762483448 16016717052 16279286184 17121318228 17421692232 17732793879 18304819488 19567220832 21355622736 21705714912 22828424304 23228922976 23643725172 26132538348 27584346034 29865758112 31524966896 32033434104 32558572368 34242636456 34843384464 35465587758 41376519051 42711245472 45656848608 47287450344 52265076696 55168692068 63049933792 64066868208 65117144736 68485272912 69686768928 70931175516 82753038102 94574900688 104530153392 110337384136 124129557153 128133736416 136970545824 141862351032 165506076204 189149801376 209060306784 220674768272 248259114306 283724702064 331012152408 441349536544 496518228612 567449404128 662024304816 993036457224 1324048609632 1986072914448 3972145828896
• Sum of all divisors σ(n): 14767627492800
• Sum of proper divisors (its aliquot sum) s(n): 10795481663904
• 3972145828896 is an abundant number, because the sum of its proper divisors (10795481663904) is greater than itself. Its abundance is 6823335835008

Bases of 3972145828896

• Binary: 111001110011010110010101110101010000100000₂
• Hexadecimal: 0x39CD6575420
• Base-36: 1EOS12H40

Squares and roots of 3972145828896

• 3972145828896 squared (3972145828896²) is 15777942486015890908578816
• 3972145828896 cubed (3972145828896³) is 62672288434389005881684711637666267136
• The square root of 3972145828896 is 1993024.2920988193
• The cube root of 3972145828896 is 15837.0782095595

Scales and comparisons

• 3,972,145,828,896 seconds is equal to 126,301 years, 49 weeks, 3 days, 1 hour, 21 minutes, 36 seconds.
• To count from 1 to 3,972,145,828,896 would take you about three hundred fifteen thousand, seven hundred fifty-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 3972145828896 cubic inches would be around 1319.8 feet tall.

Recreational maths with 3972145828896

• 3972145828896 backwards is 6988285412793
• 3972145828896 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 3972145828896's digits is 72
• More coming soon!