137156798214144

Names of 137156798214144

• Cardinal: 137156798214144 can be written as One hundred thirty-seven trillion, one hundred fifty-six billion, seven hundred ninety-eight million, two hundred fourteen thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.37156798214144 × 10¹⁴

Factors of 137156798214144

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 544

Divisors of 137156798214144

• Number of divisors d(n): 1248
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 53 57 64 72 76 96 106 114 128 137 144 149 152 159 171 181 192 212 228 256 274 288 298 304 318 342 362 384 411 424 447 456 477 512 543 548 576 596 608 636 684 724 768 822 848 894 912 954 1007 1024 1086 1096 1152 1192 1216 1233 1272 1341 1368 1448 1536 1629 1644 1696 1788 1824 1908 2014 2048 2172 2192 2304 2384 2432 2466 2544 2603 2682 2736 2831 2896 3021 3072 3258 3288 3392 3439 3576 3648 3816 4028 4096 4344 4384 4608 4768 4864 4932 5088 5206 5364 5472 5662 5792 6042 6144 6516 6576 6784 6878 7152 7261 7296 7632 7809 7897 8056 8493 8688 8768 9063 9216 9536 9593 9728 9864 10176 10317 10412 10728 10944 11324 11584 12084 12288 13032 13152 13568 13756 14304 14522 14592 15264 15618 15794 16112 16986 17376 17536 18126 18432 19072 19186 19456 19728 20352 20413 20634 20824 21456 21783 21888 22648 23168 23427 23691 24168 24797 25479 26064 26304 26969 27136 27512 28608 28779 29044 29184 30528 30951 31236 31588 32224 33972 34752 35072 36252 36864 38144 38372 38912 39456 40704 40826 41268 41648 42912 43566 43776 45296 46336 46854 47382 48336 49594 50958 52128 52608 53938 54272 55024 57216 57558 58088 58368 61056 61239 61902 62472 63176 64448 65349 67944 69504 70144 71073 72504 74391 76288 76744 77824 78912 80907 81408 81652 82536 83296 85824 86337 87132 87552 90592 92672 93708 94764 96672 99188 101916 104256 105216 107876 108544 110048 114432 115116 116176 116736 122112 122478 123804 124944 126352 128896 130698 135888 137959 139008 140288 142146 145008 148782 150043 152576 153488 157824 161814 162816 163304 165072 166592 171648 172674 174264 175104 181184 182267 183717 185344 187416 189528 193344 198376 203832 208512 210432 215752 217088 220096 223173 228864 230232 232352 233472 242721 244224 244956 247608 249888 252704 257792 261396 271776 275918 278016 280576 284292 290016 297564 300086 305152 306976 315648 323628 325632 326608 330144 333184 343296 345348 348528 350208 362368 364534 367434 370688 374832 379056 386688 387847 396752 407664 413877 417024 420864 431504 440192 446346 450129 457728 460464 464704 471143 485442 488448 489912 495216 499776 505408 512411 515584 522792 543552 546801 551836 556032 561152 568584 580032 595128 600172 610304 613952 631296 647256 651264 653216 660288 666368 686592 690696 697056 700416 724736 729068 734868 741376 749664 758112 773376 775694 793504 815328 827754 834048 841728 863008 880384 892692 900258 915456 920928 929408 942286 970884 976896 979824 990432 999552 1010816 1024822 1031168 1045584 1081889 1087104 1093602 1103672 1112064 1137168 1160064 1163541 1190256 1200344 1227904 1241631 1262592 1294512 1306432 1314241 1320576 1332736 1350387 1373184 1381392 1394112 1413429 1429357 1449472 1458136 1469736 1499328 1516224 1537233 1546752 1551388 1587008 1630656 1640403 1655508 1668096 1683456 1726016 1760768 1785384 1800516 1830912 1841856 1858816 1884572 1941768 1953792 1959648 1980864 1999104 2021632 2049644 2062336 2091168 2163778 2174208 2187204 2207344 2224128 2274336 2320128 2327082 2380512 2400688 2455808 2483262 2525184 2589024 2612864 2628482 2641152 2665472 2700774 2746368 2762784 2788224 2826858 2858714 2898944 2916272 2939472 2998656 3032448 3074466 3093504 3102776 3174016 3245667 3261312 3280806 3311016 3336192 3452032 3490623 3521536 3570768 3601032 3683712 3694753 3717632 3769144 3883536 3919296 3942723 3961728 3998208 4043264 4099288 4124672 4182336 4240287 4288071 4327556 4348416 4374408 4414688 4548672 4611699 4640256 4654164 4761024 4801376 4911616 4966524 5050368 5178048 5225728 5256964 5282304 5330944 5401548 5492736 5525568 5576448 5653716 5717428 5797888 5832544 5878944 5997312 6064896 6148932 6187008 6205552 6348032 6491334 6522624 6561612 6622032 6672384 6904064 6981246 7043072 7141536 7202064 7367424 7389506 7435264 7538288 7767072 7838592 7885446 7923456 7996416 8086528 8198576 8364672 8480574 8576142 8655112 8696832 8748816 8829376 9097344 9223398 9280512 9308328 9522048 9602752 9737001 9823232 9933048 10356096 10451456 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38948004 39292928 39732192 41111782 41424384 41805824 42055712 42258432 43212384 44204544 44337036 44611584 45229728 45739424 46660352 47031552 47312676 47978496 48519168 49191456 49644416 49941158 50784256 51456852 51930672 52180992 52492896 52976256 54315566 55232512 55849968 57132288 57616512 58939392 59116048 60306304 61667673 62136576 62708736 63083568 63387648 65588608 66505554 66917376 67844592 68609136 69240896 69990528 70200307 70635008 72778752 73787184 74466624 74911737 76176384 76822016 77896008 79464384 81473349 82223564 82848768 83611648 84111424 86424768 88409088 88674072 89223168 90459456 91478848 93320704 94063104 94625352 95956992 97038336 98382912 99288832 99882316 101568512 102913704 103861344 104361984 104985792 105952512 108631132 110465024 111699936 114264576 115233024 117878784 118232096 120612608 123335346 124273152 125417472 126167136 126775296 131177216 133011108 133834752 135689184 137218272 138481792 139981056 140400614 141270016 145557504 147574368 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595732992 599293896 614576128 623168064 631802763 635715072 651786792 657788512 672891392 691398144 709392576 723675648 731830784 740012076 746565632 752504832 757002816 783287636 787063296 794310656 799058528 823309632 830890752 839886336 842403684 847620096 869049056 893599488 898940844 914116608 921864192 945856768 964900864 977680188 986682768 994185216 1009337088 1049417728 1064088864 1085513472 1097746176 1107854336 1119848448 1123204912 1174931454 1180594944 1191465984 1198587792 1246336128 1263605526 1271430144 1303573584 1315577024 1345782784 1382796288 1418785152 1447351296 1463661568 1480024152 1514005632 1566575272 1574126592 1588621312 1598117056 1646619264 1661781504 1679772672 1684807368 1695240192 1738098112 1762397181 1787198976 1797881688 1843728384 1891713536 1929801728 1955360376 1973365536 2018674176 2098835456 2128177728 2171026944 2195492352 2215708672 2239696896 2246409824 2349862908 2361189888 2382931968 2397175584 2492672256 2527211052 2542860288 2607147168 2631154048 2691565568 2765592576 2837570304 2894702592 2927323136 2960048304 3028011264 3133150544 3148253184 3196234112 3293238528 3323563008 3359545344 3369614736 3476196224 3524794362 3574397952 3595763376 3720616271 3783427072 3910720752 3946731072 4037348352 4256355456 4342053888 4390984704 4431417344 4492819648 4699725816 4722379776 4765863936 4794351168 4985344512 5054422104 5085720576 5214294336 5262308096 5383131136 5531185152 5675140608 5789405184 5854646272 5920096608 6056022528 6266301088 6296506368 6392468224 6586477056 6647126016 6719090688 6739229472 6952392448 7049588724 7148795904 7191526752 7441232542 7566854144 7821441504 7893462144 8074696704 8512710912 8684107776 8781969408 8985639296 9399451632 9444759552 9588702336 9970689024 10108844208 10428588672 10524616192 11161848813 11350281216 11840193216 12112045056 12532602176 12784936448 13172954112 13294252032 13478458944 13904784896 14099177448 14297591808 14383053504 14882465084 15133708288 15642883008 15786924288 16149393408 17025421824 17368215552 17563938816 17971278592 18798903264 18889519104 19177404672 19941378048 20217688416 20857177344 21049232384 22323697626 22700562432 23680386432 24224090112 25065204352 25569872896 26345908224 26956917888 27809569792 28198354896 28766107008 29764930168 31285766016 31573848576 33485546439 34050843648 35942557184 37597806528 38354809344 39882756096 40435376832 41714354688 42098464768 44647395252 45401124864 47360772864 48448180224 50130408704 51139745792 52691816448 53913835776 55619139584 56396709792 57532214016 59529860336 62571532032 63147697152 66971092878 68101687296 71885114368 75195613056 76709618688 80870753664 83428709376 84196929536 89294790504 94721545728 100260817408 102279491584 107827671552 111238279168 112793419584 115064428032 119059720672 125143064064 126295394304 133942185756 136203374592 143770228736 150391226112 153419237376 161741507328 166857418752 178589581008 189443091456 200521634816 215655343104 225586839168 230128856064 238119441344 250286128128 252590788608 267884371512 287540457472 300782452224 306838474752 323483014656 333714837504 357179162016 378886182912 401043269632 431310686208 451173678336 460257712128 476238882688 500572256256 535768743024 601564904448 646966029312 714358324032 757772365824 802086539264 862621372416 902347356672 920515424256 952477765376 1001144512512 1071537486048 1203129808896 1293932058624 1428716648064 1804694713344 1904955530752 2143074972096 2406259617792 2587864117248 2857433296128 3609389426688 3809911061504 4286149944192 5714866592256 7218778853376 7619822123008 8572299888384 11429733184512 15239644246016 17144599776768 22859466369024 34289199553536 45718932738048 68578399107072 137156798214144
• Sum of all divisors σ(n): 433257178536000
• Sum of proper divisors (its aliquot sum) s(n): 296100380321856
• 137156798214144 is an abundant number, because the sum of its proper divisors (296100380321856) is greater than itself. Its abundance is 158943582107712

Bases of 137156798214144

• Binary: 11111001011111001001110001111000111000000000000₂
• Hexadecimal: 0x7CBE4E3C7000
• Base-36: 1CM8YODFK0

Squares and roots of 137156798214144

• 137156798214144 squared (137156798214144²) is 18811987296355414747681652736
• 137156798214144 cubed (137156798214144³) is 2580191945613259964344727348345239171497984
• The square root of 137156798214144 is 11711396.0830527801
• The cube root of 137156798214144 is 51571.0269181083

Scales and comparisons

• 137,156,798,214,144 seconds is equal to 4,361,161 years, 48 weeks, 2 days, 7 hours, 2 minutes, 24 seconds.
• To count from 1 to 137,156,798,214,144 would take you about ten million, nine hundred two thousand, nine hundred 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 137156798214144 cubic inches would be around 4297.6 feet tall.

Recreational maths with 137156798214144

• 137156798214144 backwards is 441412897651731
• The number of decimal digits it has is: 15
• The sum of 137156798214144's digits is 63
• More coming soon!