107072973176832
107,072,973,176,832 is an even composite number composed of five prime numbers multiplied together.
What does the number 107072973176832 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
107072973176832 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 107072973176832:
219 × 33 × 13 × 31 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 31 × 137 × 137)See below for interesting mathematical facts about the number 107072973176832 from the Numbermatics database.
Names of 107072973176832
- Cardinal: 107072973176832 can be written as One hundred seven trillion, seventy-two billion, nine hundred seventy-three million, one hundred seventy-six thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 1.07072973176832 × 1014
Factors of 107072973176832
Divisors of 107072973176832
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 64 72 78 93 96 104 108 117 124 128 137 144 156 186 192 208 216 234 248 256 274 279 288 312 351 372 384 403 411 416 432 468 496 512 548 558 576 624 702 744 768 806 822 832 837 864 936 992 1024 1096 1116 1152 1209 1233 1248 1404 1488 1536 1612 1644 1664 1674 1728 1781 1872 1984 2048 2192 2232 2304 2418 2466 2496 2808 2976 3072 3224 3288 3328 3348 3456 3562 3627 3699 3744 3968 4096 4247 4384 4464 4608 4836 4932 4992 5343 5616 5952 6144 6448 6576 6656 6696 6912 7124 7254 7398 7488 7936 8192 8494 8768 8928 9216 9672 9864 9984 10686 10881 11232 11904 12288 12741 12896 13152 13312 13392 13824 14248 14508 14796 14976 15872 16029 16384 16988 17536 17856 18432 18769 19344 19728 19968 21372 21762 22464 23808 24576 25482 25792 26304 26624 26784 27648 28496 29016 29592 29952 31744 32058 32768 33976 35072 35712 36864 37538 38223 38688 39456 39936 42744 43524 44928 47616 48087 49152 50964 51584 52608 53248 53568 55211 55296 56307 56992 58032 59184 59904 63488 64116 65536 67952 70144 71424 73728 75076 76446 77376 78912 79872 85488 87048 89856 95232 96174 98304 101928 103168 105216 106496 107136 110422 110592 112614 113984 114669 116064 118368 119808 126976 128232 131072 135904 140288 142848 147456 150152 152892 154752 157824 159744 165633 168921 170976 174096 179712 190464 192348 196608 203856 206336 210432 212992 214272 220844 221184 225228 227968 229338 232128 236736 239616 243997 253952 256464 262144 271808 280576 285696 294912 300304 305784 309504 315648 319488 331266 337842 341952 348192 359424 380928 384696 393216 407712 412672 420864 425984 428544 441688 442368 450456 455936 458676 464256 473472 479232 487994 496899 506763 507904 512928 524288 543616 561152 571392 581839 589824 600608 611568 619008 631296 638976 662532 675684 683904 696384 718848 731991 761856 769392 786432 815424 825344 841728 851968 857088 883376 884736 900912 911872 917352 928512 946944 958464 975988 993798 1013526 1015808 1025856 1087232 1122304 1142784 1163678 1179648 1201216 1223136 1238016 1262592 1277952 1325064 1351368 1367808 1392768 1437696 1463982 1490697 1523712 1538784 1572864 1630848 1650688 1683456 1703936 1714176 1745517 1766752 1769472 1801824 1823744 1834704 1857024 1893888 1916928 1951976 1987596 2027052 2031616 2051712 2174464 2195973 2244608 2285568 2327356 2359296 2402432 2446272 2476032 2525184 2555904 2650128 2702736 2735616 2785536 2875392 2927964 2981394 3047424 3077568 3261696 3301376 3366912 3407872 3428352 3491034 3533504 3538944 3603648 3647488 3669408 3714048 3787776 3833856 3903952 3975192 4054104 4063232 4103424 4348928 4391946 4489216 4571136 4654712 4718592 4804864 4892544 4952064 5050368 5111808 5236551 5300256 5405472 5471232 5571072 5750784 5855928 5962788 6094848 6155136 6523392 6587919 6602752 6733824 6815744 6856704 6982068 7067008 7077888 7207296 7294976 7338816 7428096 7563907 7575552 7667712 7807904 7950384 8108208 8126464 8206848 8697856 8783892 8978432 9142272 9309424 9609728 9785088 9904128 10100736 10223616 10473102 10600512 10810944 10942464 11142144 11501568 11711856 11925576 12189696 12310272 13046784 13175838 13205504 13467648 13713408 13964136 14134016 14155776 14414592 14589952 14677632 14856192 15127814 15151104 15335424 15615808 15709653 15900768 16216416 16252928 16413696 17395712 17567784 17956864 18284544 18618848 19219456 19570176 19808256 20201472 20447232 20946204 21201024 21621888 21884928 22284288 22691721 23003136 23423712 23851152 24379392 24620544 26093568 26351676 26411008 26935296 27426816 27928272 28268032 28829184 29179904 29355264 29712384 30255628 30302208 30670848 31231616 31419306 31801536 32432832 32827392 34791424 35135568 35913728 36569088 37237696 38438912 39140352 39616512 40402944 41892408 42402048 43243776 43769856 44568576 45383442 46006272 46847424 47702304 48758784 49241088 52187136 52703352 52822016 53870592 54853632 55856544 56536064 57658368 58359808 58710528 59424768 60511256 60604416 61341696 62463232 62838612 63603072 64865664 65654784 68075163 69582848 70271136 71827456 73138176 74475392 76877824 78280704 79233024 80805888 83784816 84804096 86487552 87539712 89137152 90766884 92012544 93694848 95404608 98482176 104374272 105406704 105644032 107741184 109707264 111713088 113072128 115316736 116719616 117421056 118849536 121022512 121208832 124926464 125677224 127206144 129731328 131309568 136150326 139165696 140542272 146276352 148950784 153755648 156561408 158466048 161611776 167569632 169608192 172975104 175079424 178274304 181533768 184025088 187389696 190809216 196964352 204225489 208748544 210813408 211288064 215482368 219414528 223426176 226144256 230633472 233439232 234842112 237699072 242045024 242417664 249852928 251354448 254412288 259462656 262619136 272300652 278331392 281084544 297901568 307511296 313122816 316932096 323223552 335139264 339216384 345950208 350158848 356548608 363067536 374779392 381618432 393928704 408450978 417497088 421626816 438829056 446852352 452288512 461266944 466878464 469684224 475398144 484090048 484835328 499705856 502708896 508824576 518925312 525238272 544601304 556662784 562169088 595803136 615022592 626245632 633864192 646447104 670278528 678432768 691900416 700317696 713097216 726135072 749558784 763236864 787857408 816901956 834994176 843253632 893704704 904577024 922533888 933756928 939368448 950796288 968180096 969670656 999411712 1005417792 1017649152 1037850624 1050476544 1089202608 1113325568 1124338176 1191606272 1230045184 1252491264 1340557056 1356865536 1383800832 1400635392 1426194432 1452270144 1499117568 1526473728 1575714816 1633803912 1669988352 1686507264 1787409408 1809154048 1845067776 1878736896 1901592576 1936360192 1939341312 1998823424 2010835584 2035298304 2075701248 2100953088 2178405216 2226651136 2248676352 2383212544 2460090368 2504982528 2681114112 2713731072 2767601664 2801270784 2852388864 2904540288 2998235136 3052947456 3151429632 3267607824 3339976704 3373014528 3574818816 3618308096 3690135552 3757473792 3872720384 3997646848 4021671168 4070596608 4151402496 4201906176 4356810432 4497352704 4766425088 4920180736 5009965056 5362228224 5427462144 5535203328 5704777728 5809080576 5996470272 6105894912 6302859264 6535215648 6679953408 6746029056 7149637632 7236616192 7380271104 7514947584 7745440768 7995293696 8043342336 8141193216 8302804992 8403812352 8713620864 8994705408 9532850176 9840361472 10019930112 10724456448 10854924288 11070406656 11618161152 11992940544 12211789824 12605718528 13070431296 13492058112 14299275264 14473232384 14760542208 15029895168 15490881536 15990587392 16086684672 16282386432 16605609984 17427241728 17989410816 19065700352 20039860224 21448912896 21709848576 22140813312 23236322304 23985881088 24423579648 25211437056 26140862592 26984116224 28598550528 28946464768 29521084416 30059790336 30981763072 31981174784 32173369344 32564772864 33211219968 34854483456 35978821632 38131400704 42897825792 43419697152 44281626624 46472644608 47971762176 48847159296 52281725184 53968232448 57197101056 60119580672 61963526144 63962349568 64346738688 65129545728 66422439936 69708966912 71957643264 76262801408 85795651584 86839394304 88563253248 92945289216 95943524352 97694318592 104563450368 107936464896 114394202112 123927052288 127924699136 128693477376 130259091456 132844879872 139417933824 143915286528 152525602816 171591303168 185890578432 191887048704 195388637184 209126900736 215872929792 228788404224 247854104576 257386954752 260518182912 265689759744 278835867648 287830573056 305051205632 343182606336 371781156864 383774097408 390777274368 418253801472 431745859584 457576808448 495708209152 514773909504 557671735296 575661146112 686365212672 743562313728 781554548736 836507602944 863491719168 915153616896 991416418304 1029547819008 1115343470592 1151322292224 1372730425344 1487124627456 1673015205888 1726983438336 1982832836608 2059095638016 2230686941184 2745460850688 2974249254912 3346030411776 3453966876672 3965665673216 4118191276032 4461373882368 5948498509824 6692060823552 8236382552064 8922747764736 11896997019648 13384121647104 17845495529472 26768243294208 35690991058944 53536486588416 107072973176832
- Sum of all divisors σ(n): 355271302848000
- Sum of proper divisors (its aliquot sum) s(n): 248198329671168
- 107072973176832 is an abundant number, because the sum of its proper divisors (248198329671168) is greater than itself. Its abundance is 141125356494336
Bases of 107072973176832
- Binary: 110000101100001110111101000100000000000000000002
- Hexadecimal: 0x6161DE880000
- Base-36: 11YCN7OQO0
Squares and roots of 107072973176832
- 107072973176832 squared (1070729731768322) is 11464621584926584954341556224
- 107072973176832 cubed (1070729731768323) is 1227551119445373401904157552996460022202368
-
The
square root of 107072973176832 is 10347607.1232354005 -
The
cube root of 107072973176832 is 47485.3839686665
Scales and comparisons
How big is 107072973176832?- 107,072,973,176,832 seconds is equal to 3,404,589 years, 18 weeks, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 107,072,973,176,832 would take you about eight million, five hundred eleven thousand, four hundred seventy-three 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 107072973176832 cubic inches would be around 3957.1 feet tall.
Recreational maths with 107072973176832
- 107072973176832 backwards is 238671379270701
- The number of decimal digits it has is: 15
- The sum of 107072973176832's digits is 63
- More coming soon!
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The information we have on file for 107072973176832 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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