41008973126688

Names of 41008973126688

• Cardinal: 41008973126688 can be written as Forty-one trillion, eight billion, nine hundred seventy-three million, one hundred twenty-six thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 4.1008973126688 × 10¹³

Factors of 41008973126688

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 180

Divisors of 41008973126688

• Number of divisors d(n): 1350
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 49 51 54 56 63 68 72 81 84 96 98 102 108 112 119 126 136 144 147 151 153 162 168 189 196 204 216 224 238 252 272 288 289 294 302 306 324 336 343 357 378 392 408 432 441 453 459 476 504 544 567 578 588 604 612 648 672 686 714 756 784 816 833 864 867 882 906 918 952 1008 1029 1057 1071 1134 1156 1176 1208 1224 1296 1323 1359 1372 1377 1428 1512 1568 1632 1666 1734 1764 1812 1836 1904 2016 2023 2058 2114 2142 2268 2312 2352 2401 2416 2448 2499 2567 2592 2601 2646 2718 2744 2754 2856 3024 3087 3171 3213 3332 3468 3528 3624 3672 3808 3969 4046 4077 4116 4228 4284 4536 4624 4704 4802 4832 4896 4998 5134 5202 5292 5436 5488 5508 5712 5831 6048 6069 6174 6342 6426 6664 6936 7056 7203 7248 7344 7399 7497 7701 7803 7938 8092 8154 8232 8456 8568 9072 9248 9261 9513 9604 9639 9996 10268 10404 10584 10872 10976 11016 11424 11662 12138 12231 12348 12684 12852 13328 13872 14112 14161 14406 14496 14688 14798 14994 15402 15606 15876 16184 16308 16464 16912 17136 17493 17969 18144 18207 18522 19026 19208 19278 19992 20536 20808 21168 21609 21744 22032 22197 22491 22801 23103 23324 23409 24276 24462 24696 25368 25704 26656 27744 27783 28322 28539 28812 29596 29988 30804 31212 31752 32368 32616 32928 33824 34272 34986 35938 36414 37044 38052 38416 38556 39984 40817 41072 41616 42336 42483 43218 43488 43639 44064 44394 44982 45602 46206 46648 46818 48552 48924 49392 50736 51408 51793 52479 53907 54621 55566 56644 57078 57624 59192 59976 61608 62424 63504 64736 64827 65232 66591 67473 68403 69309 69972 71876 72828 74088 76104 76832 77112 79968 81634 82144 83232 84966 85617 86436 87278 88788 89964 91204 92412 93296 93636 97104 97848 98784 99127 101472 102816 103586 104958 107814 109242 111132 113288 114156 115248 118384 119952 122451 123216 124848 125783 127008 127449 129654 130464 130917 133182 134946 136806 138618 139944 143752 145656 148176 152208 154224 155379 157437 159607 161721 163268 163863 169932 171234 172872 174556 177576 179928 182408 184824 186592 187272 194208 194481 195696 198254 199773 205209 207172 207927 209916 215628 218484 222264 226576 228312 230496 236768 239904 244902 246432 249696 251566 254898 259308 261834 266364 269892 273612 277236 279888 287504 291312 296352 297381 304416 305473 308448 310758 314874 319214 323442 326536 327726 339864 342468 345744 349112 355152 359856 362551 364816 367353 369648 374544 377349 382347 387617 388962 391392 392751 396508 399546 410418 414344 415854 419832 431256 436968 444528 453152 456624 466137 472311 478821 485163 489804 503132 509796 518616 523668 532728 539784 547224 554472 559776 575008 582624 594762 599319 610946 615627 621516 629748 638428 646884 653072 655452 679728 684936 691488 693889 698224 710304 719712 725102 729632 734706 739296 749088 754698 764694 775234 777924 785502 793016 799092 820836 828688 831708 839664 862512 873936 880481 889056 892143 913248 916419 932274 944622 957642 970326 979608 1006264 1019592 1037232 1047336 1065456 1079568 1087653 1094448 1102059 1108944 1117249 1132047 1147041 1162851 1178253 1189524 1198638 1221892 1231254 1243032 1259496 1276856 1293768 1306144 1310904 1359456 1369872 1387778 1396448 1398411 1436463 1450204 1455489 1469412 1509396 1529388 1550468 1555848 1571004 1586032 1598184 1641672 1657376 1663416 1679328 1725024 1747872 1760962 1784286 1832838 1846881 1864548 1889244 1915284 1940652 1959216 2012528 2039184 2074464 2081667 2094672 2130912 2138311 2159136 2175306 2188896 2204118 2217888 2234498 2264094 2294082 2325702 2356506 2379048 2397276 2443784 2462508 2486064 2518992 2553712 2587536 2621808 2641443 2676429 2713319 2739744 2749257 2775556 2796822 2872926 2900408 2910978 2938824 3018792 3058776 3100936 3111696 3142008 3172064 3196368 3262959 3283344 3306177 3326832 3351747 3396141 3488553 3521924 3534759 3568572 3665676 3693762 3729096 3778488 3830568 3881304 3918432 4025056 4078368 4163334 4189344 4195233 4276622 4309389 4350612 4408236 4468996 4528188 4588164 4651404 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5166159376 5255539296 5325149088 5470051104 5542502112 5584010502 5657970906 5693318496 5811929298 5912481708 6153807492 6381726288 6466252464 6642204912 6757121952 6780584181 7032922848 7179442074 7445347336 7472480526 7543961208 7749239064 7883308944 7987723632 8205076656 8376015753 8486956359 8539977744 8717893947 8868722562 9040778908 9572589432 9699378696 9963307368 10058614944 10135682928 10332318752 10769163111 11168021004 11315941812 11623858596 11824963416 12307614984 12763452576 12932504928 13284409824 13561168362 14358884148 14890694672 14944961052 15087922416 15498478128 15766617888 15821363089 15975447264 16410153312 16752031506 16973912718 17079955488 17435787894 17737445124 18081557816 19145178864 19398757392 19926614736 20271365856 20341752543 21538326222 22336042008 22631883624 23247717192 23649926832 24615229968 25128047259 26153681841 27122336724 28717768296 29781389344 29889922104 30175844832 30996956256 31642726178 33504063012 33947825436 34871575788 35474890248 36163115632 38290357728 38797514784 39853229472 40683505086 43076652444 44672084016 45263767248 46495434384 47299853664 47464089267 49230459936 50256094518 52307363682 54244673448 57435536592 59779844208 61025257629 63285452356 67008126024 67895650872 69743151576 70949780496 72326231264 75384141777 81367010172 86153304888 89344168032 90527534496 92990868768 94928178534 100512189036 104614727364 108489346896 114871073184 119559688416 122050515258 126570904712 134016252048 135791301744 139486303152 141899560992 142392267801 150768283554 162734020344 172306609776 183075772887 189856357068 201024378072 209229454728 216978693792 244101030516 253141809424 268032504096 271582603488 278972606304 284784535602 301536567108 325468040688 344613219552 366151545774 379712714136 402048756144 418458909456 427176803403 488202061032 506283618848 569569071204 603073134216 650936081376 732303091548 759425428272 804097512288 836917818912 854353606806 976404122064 1139138142408 1206146268432 1281530410209 1464606183096 1518850856544 1708707213612 1952808244128 2278276284816 2412292536864 2563060820418 2929212366192 3417414427224 4556552569632 5126121640836 5858424732384 6834828854448 10252243281672 13669657708896 20504486563344 41008973126688
• Sum of all divisors σ(n): 150458546063133
• Sum of proper divisors (its aliquot sum) s(n): 109449572936445
• 41008973126688 is an abundant number, because the sum of its proper divisors (109449572936445) is greater than itself. Its abundance is 68440599809757

Bases of 41008973126688

• Binary: 1001010100110000100101010001101001110000100000₂
• Hexadecimal: 0x254C25469C20
• Base-36: EJB9FS200

Squares and roots of 41008973126688

• 41008973126688 squared (41008973126688²) is 1681735876905418558897849344
• 41008973126688 cubed (41008973126688³) is 68966261382201388008934479895814449692672
• The square root of 41008973126688 is 6403824.8825751007
• The cube root of 41008973126688 is 34484.6877723787

Scales and comparisons

• 41,008,973,126,688 seconds is equal to 1,303,958 years, 25 weeks, 5 days, 16 hours, 4 minutes, 48 seconds.
• To count from 1 to 41,008,973,126,688 would take you about three million, two hundred fifty-nine thousand, eight hundred ninety-six 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 41008973126688 cubic inches would be around 2873.7 feet tall.

Recreational maths with 41008973126688

• 41008973126688 backwards is 88662137980014
• 41008973126688 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 41008973126688's digits is 63
• More coming soon!