46978664431104

Names of 46978664431104

• Cardinal: 46978664431104 can be written as Forty-six trillion, nine hundred seventy-eight billion, six hundred sixty-four million, four hundred thirty-one thousand, one hundred four.

Scientific notation

• Scientific notation: 4.6978664431104 × 10¹³

Factors of 46978664431104

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 2821

Divisors of 46978664431104

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 127 128 144 147 168 192 196 224 252 254 256 288 294 336 381 384 392 441 448 504 508 512 576 588 672 762 768 784 882 889 896 941 1008 1016 1143 1152 1176 1344 1524 1536 1568 1741 1764 1778 1792 1882 2016 2032 2286 2304 2352 2667 2688 2823 3048 3136 3482 3528 3556 3584 3764 4032 4064 4572 4608 4704 5223 5334 5376 5646 6096 6223 6272 6587 6964 7056 7112 7528 8001 8064 8128 8469 9144 9408 10446 10668 10752 11292 12187 12192 12446 12544 13174 13928 14112 14224 15056 15669 16002 16128 16256 16938 18288 18669 18816 19761 20892 21336 22584 24374 24384 24892 25088 26348 27856 28224 28448 30112 31338 32004 32256 32512 33876 36561 36576 37338 37632 39522 41784 42672 45168 46109 48748 48768 49784 52696 55712 56007 56448 56896 59283 60224 62676 64008 65024 67752 73122 73152 74676 75264 79044 83568 85309 85344 90336 92218 97496 97536 99568 105392 109683 111424 112014 112896 113792 118566 119507 120448 125352 128016 135504 138327 146244 146304 149352 158088 167136 170618 170688 180672 184436 194992 195072 199136 210784 219366 221107 222848 224028 225792 227584 237132 239014 240896 250704 255927 256032 271008 276654 292488 292608 298704 316176 334272 341236 341376 358521 361344 368872 389984 398272 414981 421568 438732 442214 445696 448056 455168 474264 478028 481792 501408 511854 512064 542016 553308 584976 585216 597408 632352 663321 668544 682472 682752 717042 722688 737744 767781 779968 796544 829962 836549 843136 877464 884428 891392 896112 948528 956056 1002816 1023708 1024128 1075563 1084032 1106616 1169952 1194816 1264704 1326642 1337088 1364944 1365504 1434084 1445376 1475488 1535562 1547749 1559936 1593088 1638281 1659924 1673098 1686272 1754928 1768856 1792224 1897056 1912112 1989963 2005632 2047416 2048256 2151126 2168064 2213232 2339904 2389632 2509647 2529408 2653284 2674176 2729888 2868168 2950976 3071124 3095498 3119872 3186176 3276562 3319848 3346196 3372544 3509856 3537712 3584448 3794112 3824224 3979926 4011264 4094832 4096512 4302252 4336128 4426464 4643247 4679808 4779264 4914843 5019294 5058816 5306568 5459776 5736336 5855843 5901952 6142248 6190996 6239744 6553124 6639696 6692392 7019712 7075424 7168896 7528941 7588224 7648448 7959852 8022528 8189664 8604504 8852928 9286494 9359616 9558528 9829686 10038588 10117632 10613136 10834243 10919552 11467967 11472672 11711686 11803904 12284496 12381992 13106248 13279392 13384784 13929741 14039424 14150848 14337792 14744529 15057882 15176448 15296896 15919704 16379328 17209008 17567529 17705856 18572988 18719232 19659372 20077176 21226272 21668486 21839104 22935934 22945344 23423372 23607808 24568992 24763984 26212496 26558784 26769568 27859482 28078848 28301696 28675584 29489058 30115764 30352896 30593792 31839408 32502729 32758656 34403901 34418016 35135058 35411712 37145976 39318744 40154352 42452544 43336972 43678208 45871868 45890688 46846744 49137984 49527968 52424992 52702587 53117568 53539136 55718964 56157696 56603392 58978116 60231528 61187584 63678816 65005458 65517312 68807802 68836032 70270116 70823424 74291952 78637488 80275769 80308704 84905088 86673944 91743736 91781376 93693488 97508187 98275968 99055936 103211703 104849984 105405174 106235136 107078272 111437928 113206784 117956232 120463056 127357632 130010916 131034624 137615604 137672064 140540232 148583904 157274976 160551538 160617408 169810176 173347888 183487472 183562752 187386976 195016374 196551936 198111872 206423406 208061687 209699968 210810348 212470272 214156544 222875856 235912464 240827307 240926112 254715264 260021832 275231208 275344128 281080464 297167808 314549952 321103076 321234816 339620352 346695776 366974944 374773952 390032748 393103872 396223744 412846812 416123374 419399936 421620696 428313088 445751712 471824928 481654614 481852224 509430528 520043664 550462416 550688256 562160928 594335616 624185061 629099904 642206152 642469632 693391552 722481921 733949888 749547904 780065496 792447488 825693624 832246748 838799872 843241392 891503424 943649856 963309228 963704448 1018861056 1040087328 1100924832 1124321856 1188671232 1248370122 1258199808 1284412304 1284939264 1386783104 1444963842 1456431809 1467899776 1499095808 1560130992 1651387248 1664493496 1686482784 1783006848 1872555183 1887299712 1926618456 1927408896 2080174656 2201849664 2248643712 2377342464 2496740244 2516399616 2568824608 2773566208 2889927684 2912863618 2935799552 2998191616 3120261984 3302774496 3328986992 3372965568 3566013696 3745110366 3774599424 3853236912 3854817792 4160349312 4369295427 4403699328 4497287424 4993480488 5137649216 5547132416 5779855368 5825727236 5871599104 6240523968 6605548992 6657973984 6745931136 7132027392 7490220732 7549198848 7706473824 8320698624 8738590854 8807398656 8994574848 9986960976 10195022663 10275298432 11559710736 11651454472 12481047936 13107886281 13211097984 13315947968 13491862272 14980441464 15412947648 16641397248 17477181708 17614797312 19973921952 20390045326 20550596864 23119421472 23302908944 24962095872 26215772562 26422195968 26631895936 26983724544 29960882928 30585067989 30825895296 34954363416 39947843904 40780090652 41101193728 46238842944 46605817888 49924191744 52431545124 52844391936 53263791872 59921765856 61170135978 61651790592 69908726832 79895687808 81560181304 91755203967 92477685888 93211635776 104863090248 106527583744 119843531712 122340271956 123303581184 139817453664 159791375616 163120362608 183510407934 184955371776 186423271552 209726180496 239687063424 244680543912 279634907328 319582751232 326240725216 367020815868 369910743552 372846543104 419452360992 479374126848 489361087824 559269814656 652481450432 734041631736 745693086208 838904721984 958748253696 978722175648 1118539629312 1304962900864 1468083263472 1677809443968 1957444351296 2237079258624 2609925801728 2936166526944 3355618887936 3914888702592 5219851603456 5872333053888 6711237775872 7829777405184 11744666107776 15659554810368 23489332215552 46978664431104
• Sum of all divisors σ(n): 159221923001856
• Sum of proper divisors (its aliquot sum) s(n): 112243258570752
• 46978664431104 is an abundant number, because the sum of its proper divisors (112243258570752) is greater than itself. Its abundance is 65264594139648

Bases of 46978664431104

• Binary: 1010101011101000010010100110101111111000000000₂
• Hexadecimal: 0x2ABA129AFE00
• Base-36: GNHP7UKG0

Squares and roots of 46978664431104

• 46978664431104 squared (46978664431104²) is 2206994911730276115962658816
• 46978664431104 cubed (46978664431104³) is 103681673359330634705603739759467890212864
• The square root of 46978664431104 is 6854098.3674808753
• The cube root of 46978664431104 is 36082.7992403093

Scales and comparisons

• 46,978,664,431,104 seconds is equal to 1,493,776 years, 11 weeks, 1 day, 38 minutes, 24 seconds.
• To count from 1 to 46,978,664,431,104 would take you about three million, seven hundred thirty-four thousand, four hundred forty 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 46978664431104 cubic inches would be around 3006.9 feet tall.

Recreational maths with 46978664431104

• 46978664431104 backwards is 40113446687964
• 46978664431104 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 46978664431104's digits is 63
• More coming soon!