345370812336801792

Names of 345370812336801792

• Cardinal: 345370812336801792 can be written as Three hundred forty-five quadrillion, three hundred seventy trillion, eight hundred twelve billion, three hundred thirty-six million, eight hundred one thousand, seven hundred ninety-two.

Scientific notation

• Scientific notation: 3.45370812336801792 × 10¹⁷

Factors of 345370812336801792

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 118

Divisors of 345370812336801792

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 113 128 144 162 192 216 226 256 288 324 339 384 432 452 512 576 648 678 768 864 904 1017 1024 1152 1296 1356 1536 1728 1808 2034 2048 2304 2592 2712 3051 3072 3456 3616 4068 4608 5184 5424 6102 6144 6912 7232 8136 9153 9216 10368 10848 12204 12769 13824 14464 16272 18306 18432 20736 21696 24408 25538 27648 28928 32544 36612 38307 41472 43392 48816 51076 55296 57856 65088 73224 76614 82944 86784 97632 102152 114921 115712 130176 146448 153228 165888 173568 195264 204304 229842 231424 260352 292896 306456 344763 347136 390528 408608 459684 520704 585792 612912 689526 694272 781056 817216 919368 1034289 1041408 1171584 1225824 1379052 1442897 1562112 1634432 1838736 2068578 2082816 2343168 2451648 2758104 2885794 3124224 3268864 3677472 4137156 4328691 4686336 4903296 5516208 5771588 6248448 6537728 7354944 8274312 8657382 9372672 9806592 11032416 11543176 12986073 13075456 14709888 16548624 17314764 18745344 19613184 22064832 23086352 25972146 26150912 29419776 33097248 34629528 38958219 39226368 44129664 46172704 51944292 58839552 66194496 69259056 77916438 78452736 88259328 92345408 103888584 116874657 117679104 132388992 138518112 155832876 163047361 176518656 184690816 207777168 233749314 235358208 264777984 277036224 311665752 326094722 353037312 369381632 415554336 467498628 489142083 529555968 554072448 623331504 652189444 706074624 738763264 831108672 934997256 978284166 1059111936 1108144896 1246663008 1304378888 1467426249 1477526528 1662217344 1869994512 1956568332 2118223872 2216289792 2493326016 2608757776 2934852498 2955053056 3324434688 3739989024 3913136664 4402278747 4432579584 4986652032 5217515552 5869704996 6648869376 7479978048 7826273328 8804557494 8865159168 9973304064 10435031104 11739409992 13206836241 13297738752 14959956096 15652546656 17609114988 18424351793 19946608128 20870062208 23478819984 26413672482 26595477504 29919912192 31305093312 35218229976 36848703586 39893216256 41740124416 46957639968 52827344964 55273055379 59839824384 62610186624 70436459952 73697407172 79786432512 83480248832 93915279936 105654689928 110546110758 119679648768 125220373248 140872919904 147394814344 165819166137 166960497664 187830559872 211309379856 221092221516 239359297536 250440746496 281745839808 294789628688 331638332274 333920995328 375661119744 422618759712 442184443032 497457498411 500881492992 563491679616 589579257376 663276664548 751322239488 845237519424 884368886064 994914996822 1001762985984 1126983359232 1179158514752 1326553329096 1492372495233 1502644478976 1690475038848 1768737772128 1989829993644 2081951752609 2253966718464 2358317029504 2653106658192 2984744990466 3005288957952 3380950077696 3537475544256 3979659987288 4163903505218 4507933436928 4716634059008 5306213316384 5969489980932 6245855257827 6761900155392 7074951088512 7959319974576 8327807010436 9015866873856 9433268118016 10612426632768 11938979961864 12491710515654 13523800310784 14149902177024 15918639949152 16655614020872 18737565773481 18866536236032 21224853265536 23877959923728 24983421031308 27047600621568 28299804354048 31837279898304 33311228041744 37475131546962 37733072472064 42449706531072 47755919847456 49966842062616 56212697320443 56599608708096 63674559796608 66622456083488 74950263093924 84899413062144 95511839694912 99933684125232 112425394640886 113199217416192 127349119593216 133244912166976 149900526187848 168638091961329 169798826124288 191023679389824 199867368250464 224850789281772 254698239186432 266489824333952 299801052375696 337276183922658 339597652248576 382047358779648 399734736500928 449701578563544 509396478372864 532979648667904 599602104751392 674552367845316 764094717559296 799469473001856 899403157127088 1018792956745728 1065959297335808 1199204209502784 1349104735690632 1528189435118592 1598938946003712 1798806314254176 2131918594671616 2398408419005568 2698209471381264 3056378870237184 3197877892007424 3597612628508352 4263837189343232 4796816838011136 5396418942762528 6395755784014848 7195225257016704 9593633676022272 10792837885525056 12791511568029696 14390450514033408 19187267352044544 21585675771050112 28780901028066816 38374534704089088 43171351542100224 57561802056133632 86342703084200448 115123604112267264 172685406168400896 345370812336801792
• Sum of all divisors σ(n): 1040807368334518785
• Sum of proper divisors (its aliquot sum) s(n): 695436555997716993
• 345370812336801792 is an abundant number, because the sum of its proper divisors (695436555997716993) is greater than itself. Its abundance is 350065743660915201

Bases of 345370812336801792

• Binary: 10011001011000000001110110010001001000111111000100000000000₂
• Hexadecimal: 0x4CB00EC891F8800
• Base-36: 2MGNQGUF7K00

Squares and roots of 345370812336801792

• 345370812336801792 squared (345370812336801792²) is 119280998014182360885625655094411264
• 345370812336801792 cubed (345370812336801792³) is 41196175180502603377870632189058182586598010900185088
• The square root of 345370812336801792 is 587682577.8741460973
• The cube root of 345370812336801792 is 701609.0958318477
• Being both a perfect square and a perfect cube, 345370812336801792 is also a perfect sixth number.

Scales and comparisons

• 345,370,812,336,801,792 seconds is equal to 10,981,723,530 years, 12 weeks, 5 days, 6 hours, 43 minutes, 12 seconds.
• To count from 1 to 345,370,812,336,801,792 would take you about thirty-two billion, nine hundred forty-five million, one hundred seventy thousand, five hundred ninety 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 345370812336801792 cubic inches would be around 58467.4 feet tall.

Recreational maths with 345370812336801792

• 345370812336801792 backwards is 297108633218073543
• 345370812336801792 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 345370812336801792's digits is 72
• More coming soon!