46148915865472

Names of 46148915865472

• Cardinal: 46148915865472 can be written as Forty-six trillion, one hundred forty-eight billion, nine hundred fifteen million, eight hundred sixty-five thousand, four hundred seventy-two.

Scientific notation

• Scientific notation: 4.6148915865472 × 10¹³

Factors of 46148915865472

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3834

Divisors of 46148915865472

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 41 56 61 64 73 79 82 112 122 128 146 158 164 224 244 287 292 316 328 427 448 488 511 553 574 584 632 656 854 896 976 1022 1106 1148 1168 1264 1312 1708 1952 2044 2212 2296 2336 2501 2528 2624 2993 3239 3416 3571 3904 4088 4424 4453 4592 4672 4819 5002 5056 5248 5767 5986 6478 6832 7142 7808 8176 8848 8906 9184 9344 9638 10004 10112 11534 11972 12956 13664 14284 16352 17507 17696 17812 18368 19276 20008 20951 22673 23068 23944 24997 25912 27328 28568 31171 32704 33733 35014 35392 35624 36736 38552 40016 40369 41902 45346 46136 47888 49994 51824 54656 57136 62342 65408 67466 70028 70784 71248 77104 80032 80738 83804 90692 92272 95776 99988 103648 114272 124684 134932 140056 142496 146411 154208 160064 161476 167608 181384 182573 184544 191552 197579 199976 207296 217831 228544 236447 249368 260683 269864 280112 282109 284992 292822 308416 320128 322952 335216 351787 362768 365146 369088 383104 395158 399952 414592 435662 457088 472894 498736 521366 539728 560224 564218 569984 585644 616832 645904 670432 703574 725536 730292 738176 790316 799904 871324 945788 997472 1024877 1042732 1079456 1120448 1128436 1171288 1278011 1291808 1340864 1383053 1407148 1451072 1460584 1524817 1580632 1599808 1655129 1742648 1824781 1891576 1974763 1994944 2049754 2085464 2158912 2240896 2256872 2342576 2462509 2556022 2583616 2681728 2766106 2814296 2902144 2921168 3049634 3161264 3199616 3310258 3485296 3649562 3783152 3949526 3989888 4099508 4170928 4317824 4513744 4685152 4925018 5112044 5167232 5532212 5628592 5842336 6099268 6322528 6620516 6970592 7299124 7566304 7899052 8199016 8341856 8931071 9027488 9370304 9850036 10224088 10688003 11064424 11257184 11566469 11684672 12198536 12645056 13241032 13941184 14423267 14598248 15132608 15798104 15901663 16398032 16683712 17208649 17862142 18054976 18740608 19700072 20448176 20593957 21376006 22128848 22514368 23132938 23369344 24397072 25290112 26482064 27882368 28846534 29196496 30265216 31596208 31803326 32796064 33367424 34417298 35724284 36109952 39400144 40896352 41187914 42752012 44257696 45028736 46265876 48794144 52964128 57693068 58392992 62517497 63192416 63606652 65592128 68834596 71448568 74816021 78800288 80965283 81792704 82375828 85504024 88515392 92531752 97588288 100962869 105928256 111311641 115386136 116785984 120460543 125034994 126384832 127213304 131184256 137669192 142897136 144157699 149632042 157600576 161930566 163585408 164751656 171008048 177030784 185063504 195176576 201925738 211856512 222623282 230772272 233571968 240921086 250069988 252769664 254426608 275338384 285794272 288315398 299264084 315201152 323861132 329503312 342016096 370127008 403851476 445246564 461544544 481842172 500139976 508853216 550676768 571588544 576630796 598528168 647722264 651968183 659006624 684032192 705554609 740254016 807702952 844352237 890493128 923089088 963684344 1000279952 1017706432 1101353536 1143177088 1153261592 1197056336 1256231377 1295444528 1303936366 1318013248 1368064384 1411109218 1480508032 1615405904 1688704474 1780986256 1846178176 1927368688 2000559904 2035412864 2202707072 2306523184 2394112672 2512462754 2590889056 2607872732 2636026496 2822218436 3230811808 3377408948 3561972512 3854737376 4001119808 4563777281 4613046368 4788225344 4938882263 5024925508 5181778112 5215745464 5644436872 5910465659 6461623616 6754817896 7123945024 7709474752 8002239616 8793619639 9127554562 9226092736 9576450688 9877764526 10049851016 10363556224 10431490928 11288873744 11820931318 12923247232 13509635792 14247890048 15418949504 17587239278 18255109124 18452185472 19755529052 20099702032 20862981856 22577747488 23641862636 27019271584 35174478556 36510218248 39511058104 40199404064 41725963712 45155494976 47283725272 51505486457 54038543168 70348957112 73020436496 79022116208 80398808128 83451927424 90310989952 94567450544 103010972914 108077086336 140697914224 146040872992 158044232416 160797616256 189134901088 206021945828 281395828448 292081745984 316088464832 360538405199 378269802176 412043891656 562791656896 584163491968 632176929664 721076810398 756539604352 824087783312 1125583313792 1442153620796 1648175566624 2884307241592 3296351133248 5768614483184 6592702266496 11537228966368 23074457932736 46148915865472
• Sum of all divisors σ(n): 112332210278400
• Sum of proper divisors (its aliquot sum) s(n): 66183294412928
• 46148915865472 is an abundant number, because the sum of its proper divisors (66183294412928) is greater than itself. Its abundance is 20034378547456

Bases of 46148915865472

• Binary: 1010011111100011100001101111001010011110000000₂
• Hexadecimal: 0x29F8E1BCA780
• Base-36: GCWIOZ5OG

Squares and roots of 46148915865472

• 46148915865472 squared (46148915865472²) is 2129722435558413274801782784
• 46148915865472 cubed (46148915865472³) is 98284381495393327501310169316527909634048
• The square root of 46148915865472 is 6793299.3357772775
• The cube root of 46148915865472 is 35869.1017485307

Scales and comparisons

• 46,148,915,865,472 seconds is equal to 1,467,392 years, 40 weeks, 2 days, 15 hours, 57 minutes, 52 seconds.
• To count from 1 to 46,148,915,865,472 would take you about three million, six hundred sixty-eight thousand, four hundred eighty-one 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 46148915865472 cubic inches would be around 2989.1 feet tall.

Recreational maths with 46148915865472

• 46148915865472 backwards is 27456851984164
• The number of decimal digits it has is: 14
• The sum of 46148915865472's digits is 70
• More coming soon!