480978489311232

Names of 480978489311232

• Cardinal: 480978489311232 can be written as Four hundred eighty trillion, nine hundred seventy-eight billion, four hundred eighty-nine million, three hundred eleven thousand, two hundred thirty-two.

Scientific notation

• Scientific notation: 4.80978489311232 × 10¹⁴

Factors of 480978489311232

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 32
• Sum of prime factors: 160

Divisors of 480978489311232

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 113 124 128 132 176 186 192 226 248 256 264 339 341 352 372 384 452 496 512 528 678 682 704 744 768 904 961 992 1023 1024 1056 1243 1356 1364 1408 1488 1536 1808 1922 1984 2046 2048 2112 2486 2712 2728 2816 2883 2976 3072 3503 3616 3729 3844 3968 4092 4096 4224 4972 5424 5456 5632 5766 5952 6144 7006 7232 7458 7688 7936 8184 8192 8448 9944 10509 10571 10848 10912 11264 11532 11904 12288 14012 14464 14916 15376 15872 16368 16384 16896 19888 21018 21142 21696 21824 22528 23064 23808 24576 28024 28928 29832 30752 31713 31744 32736 32768 33792 38533 39776 42036 42284 43392 43648 45056 46128 47616 49152 56048 57856 59664 61504 63426 63488 65472 65536 67584 77066 79552 84072 84568 86784 87296 90112 92256 95232 98304 108593 112096 115599 115712 119328 123008 126852 126976 130944 131072 135168 154132 159104 168144 169136 173568 174592 180224 184512 190464 196608 217186 224192 231198 231424 238656 246016 253704 253952 261888 262144 270336 308264 318208 325779 336288 338272 347136 349184 360448 369024 380928 393216 434372 448384 462396 462848 477312 492032 507408 507904 523776 524288 540672 616528 636416 651558 672576 676544 694272 698368 720896 738048 761856 786432 868744 896768 924792 925696 954624 984064 1014816 1015808 1047552 1048576 1081344 1194523 1233056 1272832 1303116 1345152 1353088 1388544 1396736 1441792 1476096 1523712 1572864 1737488 1793536 1849584 1851392 1909248 1968128 2029632 2031616 2095104 2097152 2162688 2389046 2466112 2545664 2606232 2690304 2706176 2777088 2793472 2883584 2952192 3047424 3145728 3474976 3583569 3587072 3699168 3702784 3818496 3936256 4059264 4063232 4190208 4194304 4325376 4778092 4932224 5091328 5212464 5380608 5412352 5554176 5586944 5767168 5904384 6094848 6291456 6949952 7167138 7174144 7398336 7405568 7636992 7872512 8118528 8126464 8380416 8388608 8650752 9556184 9864448 10182656 10424928 10761216 10824704 11108352 11173888 11534336 11808768 12189696 12582912 13899904 14334276 14348288 14796672 14811136 15273984 15745024 16237056 16252928 16760832 16777216 17301504 19112368 19728896 20365312 20849856 21522432 21649408 22216704 22347776 23068672 23617536 24379392 25165824 27799808 28668552 28696576 29593344 29622272 30547968 31490048 32474112 32505856 33521664 33554432 34603008 38224736 39457792 40730624 41699712 43044864 43298816 44433408 44695552 46137344 47235072 48758784 50331648 55599616 57337104 57393152 59186688 59244544 61095936 62980096 64948224 65011712 67043328 67108864 69206016 76449472 78915584 81461248 83399424 86089728 86597632 88866816 89391104 92274688 94470144 97517568 100663296 111199232 114674208 114786304 118373376 118489088 122191872 125960192 129896448 130023424 134086656 134217728 138412032 152898944 157831168 162922496 166798848 172179456 173195264 177733632 178782208 184549376 188940288 195035136 201326592 222398464 229348416 229572608 236746752 236978176 244383744 251920384 259792896 260046848 268173312 276824064 305797888 315662336 325844992 333597696 344358912 346390528 355467264 357564416 369098752 377880576 390070272 402653184 444796928 458696832 459145216 473493504 473956352 488767488 503840768 519585792 520093696 536346624 553648128 611595776 631324672 651689984 667195392 688717824 692781056 710934528 715128832 738197504 755761152 780140544 889593856 917393664 918290432 946987008 947912704 977534976 1007681536 1039171584 1040187392 1072693248 1107296256 1223191552 1262649344 1303379968 1334390784 1377435648 1385562112 1421869056 1430257664 1476395008 1511522304 1560281088 1779187712 1834787328 1836580864 1893974016 1895825408 1955069952 2015363072 2078343168 2080374784 2145386496 2214592512 2446383104 2525298688 2606759936 2668781568 2754871296 2771124224 2843738112 2860515328 3023044608 3120562176 3558375424 3669574656 3673161728 3787948032 3791650816 3910139904 4030726144 4156686336 4160749568 4290772992 4429185024 4892766208 5050597376 5213519872 5337563136 5509742592 5542248448 5687476224 5721030656 6046089216 6241124352 7116750848 7339149312 7346323456 7575896064 7583301632 7820279808 8061452288 8313372672 8581545984 9785532416 10101194752 10427039744 10675126272 11019485184 11084496896 11374952448 11442061312 12092178432 12482248704 14233501696 14678298624 14692646912 15151792128 15166603264 15640559616 16122904576 16626745344 17163091968 19571064832 20202389504 20854079488 21350252544 22038970368 22168993792 22749904896 22884122624 24184356864 28467003392 29356597248 29385293824 30303584256 31281119232 32245809152 33253490688 34326183936 39142129664 40404779008 41708158976 42700505088 44077940736 44337987584 45499809792 45768245248 48368713728 56934006784 58713194496 58770587648 60607168512 62562238464 64491618304 66506981376 68652367872 78284259328 80809558016 83416317952 85401010176 88155881472 88675975168 96737427456 113868013568 117426388992 117541175296 121214337024 125124476928 128983236608 133013962752 137304735744 156568518656 161619116032 166832635904 170802020352 176311762944 177351950336 193474854912 227736027136 234852777984 235082350592 242428674048 250248953856 266027925504 313137037312 323238232064 341604040704 352623525888 354703900672 386949709824 455472054272 469705555968 470164701184 484857348096 500497907712 532055851008 626274074624 646476464128 683208081408 705247051776 709407801344 910944108544 939411111936 969714696192 1064111702016 1252548149248 1292952928256 1366416162816 1410494103552 1418815602688 1821888217088 1878822223872 1939429392384 2128223404032 2505096298496 2585905856512 2732832325632 3643776434176 3757644447744 3878858784768 4256446808064 5010192596992 5171811713024 5465664651264 7287552868352 7515288895488 7757717569536 10020385193984 10931329302528 14575105736704 15030577790976 15515435139072 20040770387968 21862658605056 30061155581952 40081540775936 43725317210112 60122311163904 80163081551872 120244622327808 160326163103744 240489244655616 480978489311232
• Sum of all divisors σ(n): 1458596658091680
• Sum of proper divisors (its aliquot sum) s(n): 977618168780448
• 480978489311232 is an abundant number, because the sum of its proper divisors (977618168780448) is greater than itself. Its abundance is 496639679469216

Bases of 480978489311232

• Binary: 1101101010111001010001000000000000000000000000000₂
• Hexadecimal: 0x1B57288000000
• Base-36: 4QHQGU1EYO

Squares and roots of 480978489311232

• 480978489311232 squared (480978489311232²) is 231340307180114915273761357824
• 480978489311232 cubed (480978489311232³) is 111269711464288029279018284543259142854279168
• The square root of 480978489311232 is 21931221.7924864367
• The cube root of 480978489311232 is 78350.5202696277

Scales and comparisons

• 480,978,489,311,232 seconds is equal to 15,293,628 years, 10 weeks, 1 day, 7 hours, 47 minutes, 12 seconds.
• To count from 1 to 480,978,489,311,232 would take you about thirty-eight million, two hundred thirty-four thousand and seventy 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 480978489311232 cubic inches would be around 6529.2 feet tall.

Recreational maths with 480978489311232

• 480978489311232 backwards is 232113984879084
• The number of decimal digits it has is: 15
• The sum of 480978489311232's digits is 69
• More coming soon!