31146102132992
31,146,102,132,992 is an even composite number composed of six prime numbers multiplied together.
What does the number 31146102132992 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
31146102132992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 31146102132992:
28 × 72 × 112 × 312 × 131 × 163
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 11 × 31 × 31 × 131 × 163)See below for interesting mathematical facts about the number 31146102132992 from the Numbermatics database.
Names of 31146102132992
- Cardinal: 31146102132992 can be written as Thirty-one trillion, one hundred forty-six billion, one hundred two million, one hundred thirty-two thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 3.1146102132992 × 1013
Factors of 31146102132992
Divisors of 31146102132992
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 31 32 44 49 56 62 64 77 88 98 112 121 124 128 131 154 163 176 196 217 224 242 248 256 262 308 326 341 352 392 434 448 484 496 524 539 616 652 682 704 784 847 868 896 917 961 968 992 1048 1078 1141 1232 1304 1364 1408 1441 1519 1568 1694 1736 1792 1793 1834 1922 1936 1984 2096 2156 2282 2387 2464 2608 2728 2816 2882 3038 3136 3388 3472 3586 3668 3751 3844 3872 3968 4061 4192 4312 4564 4774 4928 5053 5216 5456 5764 5929 6076 6272 6419 6727 6776 6944 7172 7336 7502 7688 7744 7936 7987 8122 8384 8624 9128 9548 9856 10087 10106 10432 10571 10912 11528 11858 12152 12544 12551 12838 13454 13552 13888 14344 14672 15004 15376 15488 15851 15974 16244 16709 16768 17248 18256 19096 19712 19723 20174 20212 20864 21142 21353 21824 23056 23716 24304 25102 25676 26257 26908 27104 27776 28427 28688 29344 30008 30752 30976 31702 31948 32488 33418 33536 34496 35371 36512 38192 39446 40348 40424 41728 42284 42706 43648 44671 46112 47089 47432 48608 50204 51352 52514 53816 54208 55552 55583 56854 57376 58688 60016 61504 63404 63896 64976 66836 68992 70609 70742 73024 73997 76384 78892 80696 80848 84568 85412 87296 87857 89342 92224 94178 94864 97216 100408 102704 105028 107632 108416 110957 111166 113708 114752 116281 117376 120032 123008 125891 126808 127792 129952 133672 137984 138061 141218 141484 146048 147994 149471 152768 156643 157784 161392 161696 169136 170824 175714 178684 183799 184448 188356 189728 194432 198989 200816 205408 210056 215264 216832 221914 222332 227416 229504 232562 234752 234883 240064 246016 247597 251782 253616 255584 259904 267344 276122 282436 282968 292096 295988 298942 305536 312697 313286 315568 322784 323392 338272 341648 351428 357368 367598 368896 376712 379456 388864 389081 397978 401632 410816 420112 430528 443828 444664 454832 459008 465124 469766 480128 491381 495194 503564 507232 511168 517979 519808 534688 552244 564872 565936 591976 597884 611072 611413 625394 626572 631136 645568 646784 661943 676544 683296 702856 714736 735196 753424 758912 776699 778162 795956 803264 813967 821632 840224 861056 881237 887656 889328 909664 930248 939532 960256 966427 982762 990388 1007128 1014464 1022336 1035958 1039616 1046297 1069376 1096501 1104488 1129744 1131872 1183952 1195768 1222826 1250788 1253144 1262272 1291136 1293568 1323886 1353088 1366592 1384801 1405712 1429472 1470392 1506848 1517824 1553398 1556324 1591912 1606528 1627934 1643264 1644181 1680448 1722112 1723073 1762474 1775312 1778656 1819328 1860496 1879064 1932854 1965524 1980776 2014256 2028928 2044672 2071916 2092594 2138752 2188879 2193002 2208976 2259488 2263744 2367904 2391536 2445652 2501576 2506288 2524544 2582272 2583713 2647772 2706176 2723567 2733184 2769602 2811424 2858944 2940784 3013696 3106796 3112648 3183824 3213056 3255868 3288362 3360896 3439667 3446146 3524948 3550624 3557312 3638656 3720992 3758128 3865708 3931048 3961552 4028512 4057856 4143832 4185188 4277504 4279891 4377758 4386004 4417952 4518976 4527488 4633601 4735808 4783072 4891304 5003152 5012576 5049088 5167426 5295544 5447134 5466368 5539204 5622848 5697769 5717888 5881568 6027392 6168659 6213592 6225296 6367648 6511736 6576724 6721792 6879334 6892292 7049896 7101248 7114624 7277312 7281373 7441984 7516256 7675507 7731416 7862096 7923104 8057024 8287664 8370376 8559782 8755516 8772008 8835904 9037952 9054976 9267202 9471616 9566144 9693607 9782608 10006304 10025152 10334852 10591088 10894268 11078408 11245696 11395538 11435776 11509267 11763136 12054784 12061511 12337318 12427184 12450592 12735296 13023472 13153448 13758668 13784584 14099792 14202496 14229248 14562746 14883968 15032512 15232811 15351014 15462832 15724192 15846208 16114048 16575328 16740752 17119564 17511032 17544016 17671808 18075904 18085991 18534404 18943232 18953803 19132288 19387214 19565216 20012608 20050304 20520233 20669704 21182176 21788536 22156816 22491392 22791076 23018534 23526272 24077669 24123022 24674636 24854368 24901184 25470592 26046944 26306896 27517336 27569168 28199584 28404992 29125492 29767936 29959237 30065024 30465622 30702028 30925664 31448384 31692416 32228096 32435207 33150656 33481504 34239128 35022064 35088032 35343616 36171982 37068808 37907606 38264576 38774428 39130432 40025216 40100608 41040466 41339408 42364352 43577072 44313632 45582152 46037068 47052544 48155338 48246044 49349272 49708736 49802368 50941184 50969611 52093888 52613792 55034672 55138336 56399168 58250984 59918474 60130048 60931244 61404056 61851328 62896768 63384832 64870414 66301312 66963008 67855249 68478256 70044128 70176064 72343964 74137616 75815212 77548856 78260864 80050432 80095103 82080932 82678816 84430577 84728704 87154144 88627264 91164304 92074136 96310676 96492088 98698544 99417472 99604736 101939222 104187776 105227584 106629677 110069344 110276672 112798336 116501968 119836948 121862488 122808112 123702656 125793536 126601937 129740828 132602624 132676621 133926016 135710498 136956512 140088256 140352128 143641631 144687928 148275232 151630424 155097712 156521728 160190206 164161864 165357632 168861154 169457408 174308288 177254528 182328608 184148272 192621352 192984176 197397088 198834944 203878444 208375552 210455168 213259354 220138688 220553344 225596672 225722563 233003936 239673896 243724976 245616224 247405312 253203874 259481656 265353242 267852032 271420996 273913024 280176512 280704256 287283262 289375856 296550464 303260848 310195424 320380412 328323728 330715264 337722308 348616576 354509056 356787277 364657216 368296544 385242704 385968352 394794176 407756888 420910336 426518708 440277376 441106688 451445126 466007872 479347792 487449952 491232448 506407748 518963312 530706484 542841992 547826048 560353024 560665721 574566524 578751712 593100928 606521696 620390848 640760824 656647456 661430528 675444616 697233152 713574554 729314432 736593088 746407739 770485408 771936704 789588352 815513776 853037416 880554752 902890252 928736347 932015744 958695584 974899904 982464896 1005491417 1012815496 1037926624 1061412968 1085683984 1095652096 1121331442 1149133048 1157503424 1186201856 1213043392 1240781696 1281521648 1313294912 1350889232 1427149108 1458628864 1473186176 1492815478 1540970816 1543873408 1579176704 1580057941 1631027552 1706074832 1805780504 1857472694 1864031488 1917391168 1949799808 1964929792 2010982834 2025630992 2075853248 2122825936 2171367968 2242662884 2298266096 2315006848 2426086784 2481563392 2482948193 2563043296 2626589824 2701778464 2854298216 2946372352 2985630956 3081941632 3087746816 3160115882 3262055104 3412149664 3611561008 3714945388 3834782336 3899599616 3924660047 4021965668 4051261984 4151706496 4245651872 4342735936 4485325768 4596532192 4630013696 4852173568 4965896386 5126086592 5253179648 5403556928 5708596432 5971261912 6163883264 6320231764 6524110208 6824299328 7223122016 7429890776 7669564672 7849320094 8043931336 8102523968 8303412992 8491303744 8685471872 8970651536 9193064384 9931792772 10252173184 10807113856 11060405587 11417192864 11942523824 12640463528 13048220416 13648598656 14446244032 14859781552 15698640188 16087862672 16205047936 16982607488 17370943744 17380637351 17941303072 18386128768 19863585544 20504346368 21614227712 22120811174 22834385728 23885047648 25280927056 27297197312 28892488064 29719563104 31397280376 32175725344 32410095872 33965214976 34761274702 35882606144 36772257536 39727171088 44241622348 45668771456 47770095296 50561854112 57784976128 59439126208 62794560752 64351450688 69522549404 71765212288 79454342176 88483244696 91337542912 95540190592 101123708224 118878252416 121664461457 125589121504 128702901376 139045098808 143530424576 158908684352 176966489392 191080381184 202247416448 237756504832 243328922914 251178243008 257405802752 278090197616 317817368704 353932978784 404494832896 486657845828 502356486016 556180395232 635634737408 707865957568 973315691656 1004712972032 1112360790464 1415731915136 1946631383312 2224721580928 2831463830272 3893262766624 4449443161856 7786525533248 15573051066496 31146102132992
- Sum of all divisors σ(n): 83274958421424
- Sum of proper divisors (its aliquot sum) s(n): 52128856288432
- 31146102132992 is an abundant number, because the sum of its proper divisors (52128856288432) is greater than itself. Its abundance is 20982754155440
Bases of 31146102132992
- Binary: 1110001010011110001000101101010010001000000002
- Hexadecimal: 0x1C53C45A9100
- Base-36: B1GBL1HQ8
Squares and roots of 31146102132992
- 31146102132992 squared (311461021329922) is 970079678078768812054872064
- 31146102132992 cubed (311461021329923) is 30214200730581334001731496755096073535488
-
The
square root of 31146102132992 is 5580869.2990422199 -
The
cube root of 31146102132992 is 31463.0799938219
Scales and comparisons
How big is 31146102132992?- 31,146,102,132,992 seconds is equal to 990,349 years, 36 weeks, 5 days, 4 hours, 56 minutes, 32 seconds.
-
To count from 1 to 31,146,102,132,992 would take you about two million, four hundred seventy-five thousand, eight hundred seventy-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 31146102132992 cubic inches would be around 2621.9 feet tall.
Recreational maths with 31146102132992
- 31146102132992 backwards is 29923120164113
- 31146102132992 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31146102132992's digits is 44
- More coming soon!
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The information we have on file for 31146102132992 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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