47345012822016

Names of 47345012822016

• Cardinal: 47345012822016 can be written as Forty-seven trillion, three hundred forty-five billion, twelve million, eight hundred twenty-two thousand and sixteen.

Scientific notation

• Scientific notation: 4.7345012822016 × 10¹³

Factors of 47345012822016

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 1056

Divisors of 47345012822016

• Number of divisors d(n): 1456
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 81 84 91 96 104 108 112 117 126 128 144 156 162 168 169 182 189 192 208 216 224 234 243 252 256 273 288 312 324 336 338 351 364 378 384 416 432 448 468 486 504 507 512 546 567 576 624 648 672 676 702 728 729 756 768 819 832 864 896 936 972 1008 1014 1024 1031 1053 1092 1134 1152 1183 1248 1296 1344 1352 1404 1456 1458 1512 1521 1536 1638 1664 1701 1728 1792 1872 1944 2016 2028 2048 2062 2106 2184 2197 2268 2304 2366 2457 2496 2592 2688 2704 2808 2912 2916 3024 3042 3072 3093 3159 3276 3328 3402 3456 3549 3584 3744 3888 4032 4056 4096 4124 4212 4368 4394 4536 4563 4608 4732 4914 4992 5103 5184 5376 5408 5616 5824 5832 6048 6084 6144 6186 6318 6552 6591 6656 6804 6912 7098 7168 7217 7371 7488 7776 8064 8112 8248 8424 8736 8788 9072 9126 9216 9279 9464 9477 9828 9984 10206 10368 10647 10752 10816 11232 11648 11664 12096 12168 12288 12372 12636 13104 13182 13312 13403 13608 13689 13824 14196 14336 14434 14742 14976 15379 15552 16128 16224 16496 16848 17472 17576 18144 18252 18432 18558 18928 18954 19656 19773 19968 20412 20736 21294 21504 21632 21651 22113 22464 23296 23328 24192 24336 24744 25272 26208 26364 26624 26806 27216 27378 27648 27837 28392 28672 28868 29484 29952 30758 31104 31941 32256 32448 32992 33696 34944 35152 36288 36504 36864 37116 37856 37908 39312 39546 39936 40209 40824 41067 41472 42588 43008 43264 43302 44226 44928 46137 46592 46656 48384 48672 49488 50544 52416 52728 53248 53612 54432 54756 55296 55674 56784 57736 58968 59319 59904 61516 62208 63882 64512 64896 64953 65984 66339 67392 69888 70304 72576 73008 74232 75712 75816 78624 79092 79872 80418 81648 82134 82944 83511 85176 86016 86528 86604 88452 89856 92274 93184 93312 93821 95823 96768 97344 98976 101088 104832 105456 107224 108864 109512 110592 111348 113568 115472 117936 118638 119808 120627 123032 123201 124416 127764 129024 129792 129906 131968 132678 134784 138411 139776 140608 145152 146016 148464 151424 151632 157248 158184 159744 160836 163296 164268 165888 167022 170352 173056 173208 174239 176904 177957 179712 184548 186368 186624 187642 191646 193536 194688 194859 197952 202176 209664 210912 214448 217728 219024 222696 227136 230944 235872 237276 239616 241254 246064 246402 248832 250533 255528 258048 259584 259812 263936 265356 269568 276822 279552 281216 281463 287469 290304 292032 296928 302848 303264 314496 316368 321672 326592 328536 331776 334044 340704 346112 346416 348478 353808 355914 359424 361881 369096 372736 373248 375284 383292 387072 389376 389718 395904 404352 415233 419328 421824 428896 435456 438048 445392 454272 461888 471744 474552 479232 482508 492128 492804 497664 501066 511056 519168 519624 522717 527872 530712 533871 539136 553644 559104 562432 562926 574938 580608 584064 584577 593856 605696 606528 628992 632736 643344 653184 657072 668088 681408 692224 692832 696956 707616 711828 718848 723762 738192 746496 750568 751599 766584 774144 778752 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7226039808 7493670912 7653574656 7705894014 7781889024 7828209792 8118143488 8129294784 8430379776 8754625152 8806736016 9132911424 9277878272 9484177248 9634719744 10005285888 10274525352 10375852032 10437613056 10774923264 10839059712 11240506368 11480361984 11558841021 11672833536 11742314688 12177215232 12645569664 13210104024 13340381184 13699367136 13916817408 14226265872 14452079616 14987341824 15307149312 15411788028 15563778048 15656419584 16236286976 16258589568 16860759552 17509250304 17613472032 18265822848 18968354496 19269439488 20010571776 20549050704 20875226112 21549846528 21678119424 22481012736 22960723968 23117682042 23345667072 23484629376 24354430464 25291139328 26420208048 27398734272 27833634816 28452531744 28904159232 30823576056 31127556096 31312839168 32472573952 32517179136 33721519104 35018500608 35226944064 36531645696 37936708992 40021143552 41098101408 41750452224 43356238848 44962025472 45921447936 46235364084 46691334144 46969258752 48708860928 50582278656 52840416096 54797468544 56905063488 57808318464 61647152112 62625678336 64945147904 65034358272 67443038208 70037001216 70453888128 73063291392 75873417984 82196202816 83500904448 86712477696 92470728168 93382668288 93938517504 97417721856 101164557312 105680832192 109594937088 113810126976 123294304224 125251356672 130068716544 134886076416 140074002432 140907776256 146126582784 151746835968 164392405632 173424955392 184941456336 187877035008 194835443712 202329114624 211361664384 219189874176 227620253952 246588608448 250502713344 260137433088 280148004864 281815552512 292253165568 303493671936 328784811264 369882912672 375754070016 404658229248 422723328768 438379748352 455240507904 493177216896 520274866176 563631105024 584506331136 606987343872 657569622528 739765825344 751508140032 845446657536 876759496704 910481015808 986354433792 1127262210048 1213974687744 1315139245056 1479531650688 1690893315072 1753518993408 1820962031616 1972708867584 2254524420096 2630278490112 2959063301376 3381786630144 3641924063232 3945417735168 5260556980224 5918126602752 6763573260288 7890835470336 11836253205504 15781670940672 23672506411008 47345012822016
• Sum of all divisors σ(n): 175915346960640
• Sum of proper divisors (its aliquot sum) s(n): 128570334138624
• 47345012822016 is an abundant number, because the sum of its proper divisors (128570334138624) is greater than itself. Its abundance is 81225321316608

Bases of 47345012822016

• Binary: 1010110000111101011110101010111101000000000000₂
• Hexadecimal: 0x2B0F5EABD000
• Base-36: GS5ZY8000

Squares and roots of 47345012822016

• 47345012822016 squared (47345012822016²) is 2241550239116859444094304256
• 47345012822016 cubed (47345012822016³) is 106126224812180741140842496928594679300096
• The square root of 47345012822016 is 6880771.2374425005
• The cube root of 47345012822016 is 36176.3499518159

Scales and comparisons

• 47,345,012,822,016 seconds is equal to 1,505,424 years, 49 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 47,345,012,822,016 would take you about three million, seven hundred sixty-three thousand, five hundred sixty-two 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 47345012822016 cubic inches would be around 3014.7 feet tall.

Recreational maths with 47345012822016

• 47345012822016 backwards is 61022821054374
• The number of decimal digits it has is: 14
• The sum of 47345012822016's digits is 45
• More coming soon!