21742089401344

Names of 21742089401344

• Cardinal: 21742089401344 can be written as Twenty-one trillion, seven hundred forty-two billion, eighty-nine million, four hundred one thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 2.1742089401344 × 10¹³

Factors of 21742089401344

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 215

Divisors of 21742089401344

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 4 8 13 16 26 29 31 32 52 58 61 62 64 79 104 116 122 124 128 158 169 208 232 244 248 256 316 338 377 403 416 464 488 496 512 632 676 754 793 806 832 841 899 928 976 992 1024 1027 1264 1352 1508 1586 1612 1664 1682 1769 1798 1856 1891 1952 1984 2054 2291 2449 2528 2704 3016 3172 3224 3328 3364 3538 3596 3712 3782 3904 3968 4108 4582 4819 4898 4901 5056 5239 5408 6032 6344 6448 6656 6728 7076 7192 7424 7564 7808 7936 8216 9164 9638 9796 9802 10112 10309 10478 10816 10933 11687 12064 12688 12896 13312 13351 13456 14152 14384 14848 15128 15616 15872 16432 18328 19276 19592 19604 20224 20618 20956 21632 21866 22997 23374 24128 24583 25376 25792 26071 26702 26912 28304 28768 29696 29783 30256 31232 31744 31837 32864 36656 38552 39184 39208 40448 41236 41912 43264 43732 45994 46748 48256 49166 50752 51301 51584 52142 53404 53824 54839 56608 57536 59566 60512 62464 62647 63674 65728 66439 71021 73312 77104 78368 78416 80896 82472 83824 86528 87464 91988 93496 96512 98332 101504 102602 103168 104284 106808 107648 109678 113216 115072 119132 121024 125294 127348 131456 132878 139751 142042 142129 146624 149389 151931 154208 156736 156832 164944 167648 173056 174928 183976 186992 193024 196664 203008 205204 206336 208568 213616 215296 219356 226432 230144 238264 242048 250588 254696 262912 265756 279502 284084 284258 293248 298778 298961 303862 308416 313472 313664 319579 329888 335296 338923 349856 367952 373984 386048 387179 393328 406016 410408 412672 413881 417136 427232 430592 438712 452864 460288 476528 484096 501176 509392 525824 531512 559004 568168 568516 586496 597556 597922 607724 616832 626944 627328 639158 659776 666913 670592 677846 699712 712907 735904 747968 774358 786656 812032 814411 820816 827762 834272 854464 861184 863707 877424 905728 920576 923273 953056 968192 1002352 1018784 1051648 1063024 1118008 1136336 1137032 1172992 1195112 1195844 1215448 1233664 1253888 1254656 1278316 1319552 1333826 1341184 1355692 1399424 1425814 1471808 1495936 1548716 1573312 1590331 1628822 1641632 1655524 1668544 1708928 1727414 1754848 1811456 1816763 1846546 1906112 1936384 1942057 2004704 2037568 2059609 2126048 2236016 2272672 2274064 2345984 2390224 2391688 2430896 2467328 2507776 2509312 2556632 2639104 2667652 2682368 2711384 2798848 2851628 2943616 2991872 3097432 3146624 3180662 3257644 3283264 3311048 3337088 3417856 3454828 3509696 3633526 3693092 3812224 3884114 4009408 4052779 4075136 4119218 4252096 4332281 4405999 4472032 4545344 4548128 4780448 4783376 4861792 4934656 5018624 5113264 5278208 5335304 5364736 5422768 5597696 5703256 5887232 5983744 6194864 6293248 6361324 6515288 6566528 6622096 6674176 6835712 6909656 7019392 7267052 7386184 7624448 7768228 8018816 8105558 8150272 8238436 8504192 8664562 8669869 8811998 8944064 9090688 9096256 9267791 9560896 9566752 9723584 10226528 10556416 10670608 10845536 11195392 11228191 11406512 11774464 11967488 12002549 12389728 12586496 12722648 13030576 13133056 13244192 13348352 13671424 13819312 14038784 14534104 14772368 15248896 15536456 16037632 16211116 16300544 16476872 17008384 17329124 17339738 17623996 17888128 18181376 18192512 18535582 19121792 19133504 19447168 20453056 20674303 21341216 21691072 22456382 22813024 23548928 23617919 24005098 24779456 25172992 25246741 25445296 26061152 26266112 26488384 26696704 26774917 27638624 28077568 29068208 29544736 30497792 31072912 32075264 32422232 32601088 32953744 34016768 34658248 34679476 35247992 35776256 36362752 36385024 37071164 38243584 38267008 38894336 40906112 41348606 42682432 43382144 44912764 45626048 47235838 48010196 49558912 50493482 50890592 52122304 52532224 52686127 52976768 53549834 55277248 56155136 56319653 58136416 59089472 62145824 64150528 64844464 65907488 68033536 69316496 69358952 70495984 71552512 72725504 72770048 74142328 76487168 76534016 77788672 81812224 82697212 85364864 86764288 89825528 91252096 94471676 96020392 99117824 100986964 101781184 104244608 105372254 105953536 107099668 110554496 112639306 116272832 118178944 124291648 125636149 129688928 131814976 138632992 138717904 140991968 143105024 145540096 148284656 152974336 153068032 155577344 163624448 165394424 170729728 173528576 179651056 182504192 188943352 192040784 198235648 201973928 203562368 208489216 210744508 211907072 214199336 221108992 225278612 232545664 236357888 248583296 251272298 259377856 263629952 268765939 277265984 277435808 281983936 296569312 306136064 327248896 330788848 341459456 347057152 348073921 359302112 365008384 377886704 384081568 396471296 403947856 407124736 416978432 421489016 423814144 428398672 442217984 450557224 465091328 472715776 497166592 502544596 518755712 527259904 537531878 554531968 554871616 563967872 593138624 661577696 682918912 684919651 696147842 718604224 730016768 732155489 755773408 768163136 807895712 814249472 833956864 842978032 856797344 884435968 901114448 930182656 945431552 994333184 1005089192 1037511424 1054519808 1075063756 1109063936 1109743232 1127935744 1186277248 1323155392 1369839302 1392295684 1437208448 1464310978 1511546816 1536326272 1615791424 1628498944 1633269937 1685956064 1713594688 1802228896 1860365312 1988666368 2010178384 2075022848 2109039616 2150127512 2218127872 2219486464 2255871488 2372554496 2646310784 2739678604 2784591368 2874416896 2928621956 3023093632 3072652544 3231582848 3266539874 3371912128 3427189376 3604457792 4020356768 4150045696 4300255024 4436255744 4438972928 4511742976 4745108992 5292621568 5479357208 5569182736 5748833792 5857243912 6046187264 6145305088 6463165696 6533079748 6743824256 6854378752 7208915584 8040713536 8600510048 8877945856 9490217984 10585243136 10958714416 11138365472 11497667584 11714487824 12092374528 12290610176 12926331392 13066159496 13487648512 13708757504 14417831168 16081427072 17201020096 21170486272 21232509181 21917428832 22276730944 23428975648 24184749056 25852662784 26132318992 26975297024 27417515008 28835662336 32162854144 34402040192 42465018362 43834857664 44553461888 46857951296 52264637984 53950594048 57671324672 64325708288 68804080384 84930036724 87669715328 89106923776 93715902592 104529275968 128651416576 137608160768 169860073448 175339430656 178213847552 187431805184 209058551936 275216321536 339720146896 350678861312 356427695104 374863610368 418117103872 679440293792 701357722624 749727220736 836234207744 1358880587584 1672468415488 2717761175168 5435522350336 10871044700672 21742089401344
• Sum of all divisors σ(n): 51786760197120
• Sum of proper divisors (its aliquot sum) s(n): 30044670795776
• 21742089401344 is an abundant number, because the sum of its proper divisors (30044670795776) is greater than itself. Its abundance is 8302581394432

Bases of 21742089401344

• Binary: 100111100011000111001100000111111010000000000₂
• Hexadecimal: 0x13C63983F400
• Base-36: 7PG6ENYF4

Squares and roots of 21742089401344

• 21742089401344 squared (21742089401344²) is 472718451536035096309006336
• 21742089401344 cubed (21742089401344³) is 10277886834961375984352456951917742915584
• The square root of 21742089401344 is 4662841.3442174933
• The cube root of 21742089401344 is 27910.4663058463

Scales and comparisons

• 21,742,089,401,344 seconds is equal to 691,331 years, 9 weeks, 6 days, 6 hours, 9 minutes, 4 seconds.
• To count from 1 to 21,742,089,401,344 would take you about one million, seven hundred twenty-eight thousand, three hundred twenty-seven 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 21742089401344 cubic inches would be around 2325.9 feet tall.

Recreational maths with 21742089401344

• 21742089401344 backwards is 44310498024712
• The number of decimal digits it has is: 14
• The sum of 21742089401344's digits is 49
• More coming soon!