131696966016

Names of 131696966016

• Cardinal: 131696966016 can be written as One hundred thirty-one billion, six hundred ninety-six million, nine hundred sixty-six thousand and sixteen.

Scientific notation

• Scientific notation: 1.31696966016 × 10¹¹

Factors of 131696966016

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 103

Divisors of 131696966016

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 27 28 32 33 36 38 42 44 48 49 54 56 57 61 63 64 66 72 76 77 84 88 96 98 99 108 112 114 122 126 128 132 133 144 147 152 154 168 171 176 183 189 192 196 198 209 216 224 228 231 244 252 264 266 288 294 297 304 308 336 342 352 366 378 384 392 396 399 418 427 432 441 448 456 462 488 504 513 528 532 539 549 576 588 594 608 616 627 671 672 684 693 704 732 756 784 792 798 836 854 864 882 896 912 924 931 976 1008 1026 1056 1064 1078 1098 1152 1159 1176 1188 1197 1216 1232 1254 1281 1323 1342 1344 1368 1386 1408 1463 1464 1512 1568 1584 1596 1617 1647 1672 1708 1728 1764 1824 1848 1862 1881 1952 2013 2016 2052 2079 2112 2128 2156 2196 2318 2352 2376 2394 2432 2464 2508 2562 2646 2684 2688 2736 2772 2793 2926 2928 2989 3024 3136 3168 3192 3234 3294 3344 3416 3456 3477 3528 3591 3648 3696 3721 3724 3762 3843 3904 4026 4032 4104 4158 4224 4256 4312 4389 4392 4636 4697 4704 4752 4788 4851 4928 5016 5124 5292 5368 5472 5544 5586 5643 5852 5856 5978 6039 6048 6272 6336 6384 6468 6588 6688 6832 6954 7056 7182 7296 7392 7442 7448 7524 7686 7808 8052 8064 8113 8208 8316 8379 8512 8624 8778 8784 8967 9272 9394 9408 9504 9576 9702 9856 10032 10241 10248 10431 10584 10736 10944 11088 11163 11172 11286 11529 11704 11712 11956 12078 12096 12672 12749 12768 12936 13167 13176 13376 13664 13908 14091 14112 14364 14553 14784 14884 14896 15048 15372 16104 16226 16416 16632 16758 17024 17248 17556 17568 17934 18117 18544 18788 18816 19008 19152 19404 20064 20482 20496 20862 21168 21472 21888 22176 22326 22344 22572 23058 23408 23424 23912 24156 24192 24339 25137 25498 25536 25872 26047 26334 26352 26752 26901 27328 27816 28182 28224 28728 29106 29568 29768 29792 30096 30723 30744 31293 32208 32452 32832 32879 33264 33489 33516 34496 35112 35136 35868 36234 37088 37576 38016 38247 38304 38808 39501 40128 40931 40964 40992 41724 42273 42336 42944 44352 44652 44688 45144 46116 46816 47824 48312 48678 50274 50996 51072 51744 52094 52668 52704 53802 54656 55632 56364 56448 56791 57456 58212 59536 59584 60192 61446 61488 62586 64416 64904 65664 65758 66528 66978 67032 68992 70224 70272 70699 71736 72468 73017 74176 75152 76494 76608 77616 78141 79002 80256 80703 81862 81928 81984 83448 84546 84672 85888 88704 89243 89304 89376 90288 92169 92232 93632 95648 96624 97356 98637 100467 100548 101992 103488 104188 105336 105408 107604 111264 112728 113582 114741 114912 116424 119072 119168 120384 122793 122892 122976 125172 126819 128832 129808 131516 133056 133956 134064 140448 141398 143472 144936 146034 148352 150304 152988 153216 155232 156282 158004 161406 163724 163856 163968 166896 169092 169344 170373 178486 178608 178752 180576 182329 184338 184464 187264 191296 193248 194712 197274 200934 201096 203984 206976 208376 210672 210816 212097 215208 219051 222528 225456 227164 229482 229824 232848 234423 238144 240768 245586 245784 245952 250344 253638 257664 259616 263032 266112 267729 267912 268128 276507 280896 282796 286517 286944 289872 292068 295911 300608 305976 310464 312564 316008 322812 327448 327712 333792 338184 340746 344223 356972 357216 357504 361152 364658 368379 368676 368928 382592 386496 389424 394548 401868 402192 407968 416752 421344 424194 430416 438102 445056 450912 454328 458964 459648 465696 468846 476288 491172 491568 491904 494893 500688 507276 511119 519232 526064 535458 535824 536256 546987 553014 561792 565592 573034 573888 579744 584136 591822 601216 611952 620928 624701 625128 632016 636291 645624 654896 655424 667584 676368 681492 688446 703269 713944 714432 722304 729316 736758 737352 737856 772992 777689 778848 789096 803187 803736 804384 815936 833504 842688 848388 859551 860832 876204 887733 901824 908656 917928 931392 937692 982344 983136 989786 1001376 1014552 1022238 1038464 1052128 1070916 1071648 1072512 1093974 1105137 1106028 1131184 1146068 1147776 1159488 1168272 1183644 1223904 1249402 1250256 1264032 1272582 1291248 1309792 1310848 1335168 1352736 1362984 1376892 1406538 1427888 1428864 1458632 1473516 1474704 1475712 1484679 1533357 1555378 1557696 1578192 1606374 1607472 1608768 1631872 1640961 1667008 1685376 1696776 1719102 1721664 1752408 1775466 1803648 1817312 1835856 1862784 1874103 1875384 1908873 1964688 1966272 1979572 2002752 2005619 2029104 2044476 2104256 2141832 2143296 2187948 2210274 2212056 2262368 2292136 2318976 2333067 2336544 2367288 2409561 2447808 2498804 2500512 2528064 2545164 2578653 2582496 2619584 2705472 2725968 2753784 2813076 2855776 2917264 2947032 2949408 2969358 3066714 3110756 3115392 3156384 3212748 3214944 3217536 3281922 3334016 3393552 3438204 3443328 3464251 3504816 3550932 3634624 3671712 3748206 3750768 3817746 3929376 3932544 3959144 4005504 4011238 4058208 4088952 4208512 4283664 4286592 4375896 4420548 4424112 4454037 4524736 4584272 4666134 4673088 4734576 4819122 4895616 4922883 4997608 5001024 5056128 5090328 5157306 5164992 5239168 5410944 5443823 5451936 5507568 5622309 5626152 5711552 5834528 5894064 5898816 5938716 6016857 6133428 6221512 6312768 6425496 6429888 6563844 6787104 6876408 6928502 6999201 7009632 7101864 7269248 7343424 7496412 7501536 7635492 7735959 7858752 7918288 8022476 8116416 8177904 8567328 8751792 8841096 8848224 8908074 9049472 9168544 9332268 9346176 9469152 9638244 9845766 9995216 10002048 10180656 10314612 10329984 10392753 10887646 10903872 11015136 11244618 11252304 11423104 11669056 11788128 11797632 11877432 12033714 12266856 12443024 12625536 12850992 12859776 13127688 13362111 13574208 13752816 13857004 13998402 14019264 14203728 14686848 14992824 15003072 15270984 15471918 15717504 15836576 16044952 16232832 16331469 16355808 16866927 17134656 17503584 17682192 17696448 17816148 18050571 18337088 18664536 18938304 19276488 19691532 19990432 20361312 20629224 20785506 20997603 21775292 21807744 22030272 22489236 22504608 23338112 23576256 23754864 24067428 24533712 24886048 25701984 26255376 26724222 27148416 27505632 27714008 27996804 28038528 28407456 29985648 30006144 30541968 30943836 31178259 31673152 32089904 32662938 32711616 33733854 34269312 35007168 35364384 35392896 35632296 36101142 36674176 37329072 37876608 38106761 38552976 39383064 39980864 40722624 41258448 41571012 41995206 43550584 44060544 44978472 45009216 47152512 47509728 48134856 48994407 49067424 49772096 51403968 52510752 53448444 54151713 55011264 55428016 55993608 56814912 59971296 61083936 61887672 62356518 63346304 64179808 65325876 65423232 67467708 70014336 70728768 71264592 72202284 74658144 76213522 77105952 78766128 79961728 81445248 82516896 83142024 83990412 87101168 89956944 90018432 93534777 95019456 96269712 97988814 98134848 99544192 102807936 105021504 106896888 108303426 110022528 110856032 111987216 113629824 114320283 119942592 122167872 123775344 124713036 128359616 130651752 134935416 141457536 142529184 144404568 146983221 149316288 152427044 154211904 157532256 165033792 166284048 167980824 174202336 179913888 187069554 190038912 192539424 195977628 196269696 210043008 213793776 216606852 221712064 223974432 228640566 239885184 244335744 247550688 249426072 256719232 261303504 269870832 285058368 288809136 293966442 298632576 304854088 308423808 315064512 330067584 332568096 335961648 342960849 348404672 359827776 374139108 385078848 391955256 427587552 433213704 443424128 447948864 457281132 495101376 498852144 522607008 539741664 570116736 577618272 587932884 609708176 630129024 665136192 671923296 685921698 696809344 719655552 748278216 770157696 783910512 855175104 866427408 895897728 914562264 990202752 997704288 1028882547 1045214016 1079483328 1155236544 1175865768 1219416352 1330272384 1343846592 1371843396 1496556432 1567821024 1710350208 1732854816 1829124528 1995408576 2057765094 2090428032 2158966656 2310473088 2351731536 2438832704 2687693184 2743686792 2993112864 3135642048 3465709632 3658249056 3990817152 4115530188 4703463072 4877665408 5487373584 5986225728 6271284096 6931419264 7316498112 8231060376 9406926144 10974747168 11972451456 14632996224 16462120752 18813852288 21949494336 32924241504 43898988672 65848483008 131696966016
• Sum of all divisors σ(n): 527864688000
• Sum of proper divisors (its aliquot sum) s(n): 396167721984
• 131696966016 is an abundant number, because the sum of its proper divisors (396167721984) is greater than itself. Its abundance is 264470755968

Bases of 131696966016

• Binary: 1111010101001110000000011100110000000₂
• Hexadecimal: 0x1EA9C03980
• Base-36: 1OI0Z1C0

Squares and roots of 131696966016

• 131696966016 squared (131696966016²) is 17344090857819458912256
• 131696966016 cubed (131696966016³) is 2284164144280665568230886757892096
• The square root of 131696966016 is 362900.7660724899
• The cube root of 131696966016 is 5087.7440686501

Scales and comparisons

• 131,696,966,016 seconds is equal to 4,187 years, 28 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 131,696,966,016 would take you about eight thousand, three hundred seventy-five 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 131696966016 cubic inches would be around 424 feet tall.

Recreational maths with 131696966016

• 131696966016 backwards is 610669696131
• 131696966016 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 131696966016's digits is 54
• More coming soon!