46145875488768

Names of 46145875488768

• Cardinal: 46145875488768 can be written as Forty-six trillion, one hundred forty-five billion, eight hundred seventy-five million, four hundred eighty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.6145875488768 × 10¹³

Factors of 46145875488768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 635

Divisors of 46145875488768

• Number of divisors d(n): 702
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 121 128 132 144 162 176 192 198 216 242 243 256 264 288 297 324 352 363 384 396 432 484 486 512 528 576 594 619 648 704 726 768 792 864 891 968 972 1024 1056 1089 1152 1188 1238 1296 1408 1452 1536 1584 1728 1782 1857 1936 1944 2048 2112 2178 2304 2376 2476 2592 2673 2816 2904 3072 3168 3267 3456 3564 3714 3872 3888 4096 4224 4356 4608 4752 4952 5184 5346 5571 5632 5808 6144 6336 6534 6809 6912 7128 7428 7744 7776 8448 8712 9216 9504 9801 9904 10368 10692 11142 11264 11616 12288 12672 13068 13618 13824 14256 14856 15488 15552 16713 16896 17424 18432 19008 19602 19808 20427 20736 21384 22284 22528 23232 25344 26136 27236 27648 28512 29403 29712 30976 31104 33426 33792 34848 36864 38016 39204 39616 40854 41472 42768 44568 45056 46464 50139 50688 52272 54472 55296 57024 58806 59424 61281 61952 62208 66852 67584 69696 74899 76032 78408 79232 81708 82944 85536 89136 92928 100278 101376 104544 108944 110592 114048 117612 118848 122562 123904 124416 133704 135168 139392 149798 150417 152064 156816 158464 163416 165888 171072 178272 183843 185856 200556 202752 209088 217888 224697 228096 235224 237696 245124 247808 248832 267408 278784 299596 300834 304128 313632 316928 326832 331776 342144 356544 367686 371712 383161 401112 405504 418176 435776 449394 456192 470448 475392 490248 495616 497664 534816 551529 557568 599192 601668 608256 627264 633856 653664 674091 684288 713088 735372 743424 766322 802224 836352 871552 898788 912384 940896 950784 980496 995328 1069632 1103058 1115136 1149483 1198384 1203336 1216512 1254528 1267712 1307328 1348182 1368576 1426176 1470744 1486848 1532644 1604448 1654587 1672704 1743104 1797576 1824768 1881792 1901568 1960992 2022273 2139264 2206116 2230272 2298966 2396768 2406672 2509056 2535424 2614656 2696364 2737152 2852352 2941488 3065288 3208896 3309174 3345408 3448449 3486208 3595152 3649536 3763584 3803136 3921984 4044546 4214771 4278528 4412232 4460544 4597932 4793536 4813344 5018112 5229312 5392728 5474304 5704704 5882976 6066819 6130576 6417792 6618348 6690816 6896898 6972416 7190304 7527168 7606272 7843968 8089092 8429542 8557056 8824464 9195864 9587072 9626688 10036224 10345347 10458624 10785456 10948608 11409408 11765952 12133638 12261152 12644313 12835584 13236696 13381632 13793796 13944832 14380608 15054336 15687936 16178184 16859084 17114112 17648928 18200457 18391728 19174144 19253376 20072448 20690694 20917248 21570912 22818816 23531904 24267276 24522304 25288626 25671168 26473392 27587592 27889664 28761216 30108672 31036041 31375872 32356368 33718168 34228224 35297856 36400914 36783456 37932939 38348288 38506752 40144896 41381388 41834496 43141824 46362481 47063808 48534552 49044608 50577252 51342336 52946784 55175184 57522432 60217344 62072082 62751744 64712736 67436336 68456448 70595712 72801828 73566912 75865878 76696576 77013504 82762776 83668992 86283648 92724962 93108123 94127616 97069104 98089216 101154504 102684672 105893568 110350368 113798817 115044864 120434688 124144164 125503488 129425472 134872672 139087443 141191424 145603656 147133824 151731756 153393152 154027008 165525552 172567296 185449924 186216246 188255232 194138208 196178432 202309008 205369344 211787136 220700736 227597634 230089728 248288328 251006976 258850944 269745344 278174886 282382848 291207312 294267648 303463512 306786304 308054016 331051104 341396451 345134592 370899848 372432492 376510464 388276416 392356864 404618016 417262329 423574272 441401472 455195268 460179456 496576656 517701888 539490688 556349772 564765696 582414624 588535296 606927024 616108032 662102208 682792902 690269184 741799696 744864984 753020928 776552832 784713728 809236032 834524658 847148544 882802944 910390536 920358912 993153312 1024189353 1035403776 1078981376 1112699544 1129531392 1164829248 1177070592 1213854048 1251786987 1324204416 1365585804 1380538368 1483599392 1489729968 1553105664 1569427456 1618472064 1669049316 1694297088 1765605888 1820781072 1986306624 2048378706 2070807552 2157962752 2225399088 2259062784 2329658496 2354141184 2427708096 2503573974 2648408832 2731171608 2761076736 2967198784 2979459936 3106211328 3236944128 3338098632 3388594176 3531211776 3641562144 3755360961 3972613248 4096757412 4141615104 4315925504 4450798176 4659316992 4708282368 4855416192 5007147948 5296817664 5462343216 5934397568 5958919872 6212422656 6473888256 6676197264 6777188352 7062423552 7283124288 7510721922 7945226496 8193514824 8283230208 8631851008 8901596352 9318633984 9710832384 10014295896 10593635328 10924686432 11266082883 11868795136 11917839744 12424845312 12947776512 13352394528 14124847104 14566248576 15021443844 15890452992 16387029648 17263702016 17803192704 18637267968 19421664768 20028591792 21187270656 21849372864 22532165766 23737590272 23835679488 24849690624 25895553024 26704789056 29132497152 30042887688 31780905984 32774059296 35606385408 37274535936 38843329536 40057183584 42374541312 43698745728 45064331532 47475180544 47671358976 51791106048 53409578112 58264994304 60085775376 63561811968 65548118592 71212770816 74549071872 77686659072 80114367168 87397491456 90128663064 94950361088 95342717952 106819156224 116529988608 120171550752 127123623936 131096237184 142425541632 155373318144 160228734336 174794982912 180257326128 189900722176 190685435904 213638312448 233059977216 240343101504 262192474368 284851083264 320457468672 349589965824 360514652256 381370871808 427276624896 466119954432 480686203008 524384948736 569702166528 640914937344 699179931648 721029304512 854553249792 961372406016 1048769897472 1281829874688 1398359863296 1442058609024 1709106499584 1922744812032 2097539794944 2563659749376 2884117218048 3845489624064 4195079589888 5127319498752 5768234436096 7690979248128 11536468872192 15381958496256 23072937744384 46145875488768
• Sum of all divisors σ(n): 152185550878452
• Sum of proper divisors (its aliquot sum) s(n): 106039675389684
• 46145875488768 is an abundant number, because the sum of its proper divisors (106039675389684) is greater than itself. Its abundance is 59893799900916

Bases of 46145875488768

• Binary: 1010011111100000101100100001000011000000000000₂
• Hexadecimal: 0x29F82C843000
• Base-36: GCV4ETC00

Squares and roots of 46145875488768

• 46145875488768 squared (46145875488768²) is 2129441824624879302894157824
• 46145875488768 cubed (46145875488768³) is 98264957299714623939693952293547731320832
• The square root of 46145875488768 is 6793075.5544722157
• The cube root of 46145875488768 is 35868.3140234431

Scales and comparisons

• 46,145,875,488,768 seconds is equal to 1,467,296 years, 5 weeks, 2 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 46,145,875,488,768 would take you about three million, six hundred sixty-eight thousand, two 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 46145875488768 cubic inches would be around 2989 feet tall.

Recreational maths with 46145875488768

• 46145875488768 backwards is 86788457854164
• 46145875488768 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 46145875488768's digits is 81
• More coming soon!