105007093383168

Names of 105007093383168

• Cardinal: 105007093383168 can be written as One hundred five trillion, seven billion, ninety-three million, three hundred eighty-three thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 1.05007093383168 × 10¹⁴

Factors of 105007093383168

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 30
• Sum of prime factors: 107

Divisors of 105007093383168

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 73 81 87 96 108 116 128 144 146 162 174 192 216 219 232 256 261 288 292 324 348 384 432 438 464 512 522 576 584 648 657 696 768 783 864 876 928 1024 1044 1152 1168 1296 1314 1392 1536 1566 1728 1752 1856 1971 2048 2088 2117 2304 2336 2349 2592 2628 2784 3072 3132 3456 3504 3712 3942 4096 4176 4234 4608 4672 4698 5184 5256 5329 5568 5913 6144 6264 6351 6912 7008 7424 7884 8192 8352 8468 9216 9344 9396 10368 10512 10658 11136 11826 12288 12528 12702 13824 14016 14848 15768 15987 16384 16704 16936 18432 18688 18792 19053 20736 21024 21316 22272 23652 24576 25056 25404 27648 28032 29696 31536 31974 32768 33408 33872 36864 37376 37584 38106 41472 42048 42632 44544 47304 47961 49152 50112 50808 55296 56064 57159 59392 63072 63948 65536 66816 67744 73728 74752 75168 76212 82944 84096 85264 89088 94608 95922 98304 100224 101616 110592 112128 114318 118784 126144 127896 131072 133632 135488 143883 147456 149504 150336 152424 154541 165888 168192 170528 171477 178176 189216 191844 196608 200448 203232 221184 224256 228636 237568 252288 255792 262144 267264 270976 287766 294912 299008 300672 304848 309082 331776 336384 341056 342954 356352 378432 383688 393216 400896 406464 431649 442368 448512 457272 463623 475136 504576 511584 524288 534528 541952 575532 589824 598016 601344 609696 618164 663552 672768 682112 685908 712704 756864 767376 786432 801792 812928 863298 884736 897024 914544 927246 950272 1009152 1023168 1048576 1069056 1083904 1151064 1179648 1196032 1202688 1219392 1236328 1327104 1345536 1364224 1371816 1390869 1425408 1513728 1534752 1572864 1603584 1625856 1726596 1769472 1794048 1829088 1854492 1900544 2018304 2046336 2097152 2138112 2167808 2302128 2359296 2392064 2405376 2438784 2472656 2654208 2691072 2728448 2743632 2781738 2850816 3027456 3069504 3145728 3207168 3251712 3453192 3538944 3588096 3658176 3708984 3801088 4036608 4092672 4172607 4194304 4276224 4335616 4604256 4718592 4784128 4810752 4877568 4945312 5308416 5382144 5456896 5487264 5563476 5701632 6054912 6139008 6291456 6414336 6503424 6906384 7077888 7176192 7316352 7417968 7602176 8073216 8185344 8345214 8388608 8552448 8671232 9208512 9437184 9568256 9621504 9755136 9890624 10616832 10764288 10913792 10974528 11126952 11403264 12109824 12278016 12517821 12582912 12828672 13006848 13812768 14155776 14352384 14632704 14835936 15204352 16146432 16370688 16690428 17104896 17342464 18417024 18874368 19136512 19243008 19510272 19781248 21233664 21528576 21827584 21949056 22253904 22806528 24219648 24556032 25035642 25165824 25657344 26013696 27625536 28311552 28704768 29265408 29671872 30408704 32292864 32741376 33380856 34209792 34684928 36834048 37748736 38273024 38486016 39020544 39562496 42467328 43057152 43655168 43898112 44507808 45613056 48439296 49112064 50071284 51314688 52027392 55251072 56623104 57409536 58530816 59343744 60817408 64585728 65482752 66761712 68419584 69369856 73668096 75497472 76546048 76972032 78041088 79124992 84934656 86114304 87310336 87796224 89015616 91226112 96878592 98224128 100142568 102629376 104054784 110502144 113246208 114819072 117061632 118687488 121634816 129171456 130965504 133523424 136839168 138739712 147336192 153092096 153944064 156082176 158249984 169869312 172228608 174620672 175592448 178031232 182452224 193757184 196448256 200285136 205258752 208109568 221004288 226492416 229638144 234123264 237374976 243269632 258342912 261931008 267046848 273678336 277479424 294672384 306184192 307888128 312164352 316499968 339738624 344457216 349241344 351184896 356062464 364904448 387514368 392896512 400570272 410517504 416219136 442008576 459276288 468246528 474749952 516685824 523862016 534093696 547356672 554958848 589344768 612368384 615776256 624328704 632999936 679477248 688914432 698482688 702369792 712124928 729808896 775028736 785793024 801140544 821035008 832438272 884017152 918552576 936493056 949499904 1033371648 1047724032 1068187392 1094713344 1109917696 1178689536 1231552512 1248657408 1265999872 1377828864 1396965376 1404739584 1424249856 1550057472 1571586048 1602281088 1642070016 1664876544 1768034304 1837105152 1872986112 1898999808 2066743296 2095448064 2136374784 2189426688 2219835392 2357379072 2463105024 2497314816 2531999744 2755657728 2793930752 2809479168 2848499712 3100114944 3143172096 3204562176 3284140032 3329753088 3536068608 3745972224 3797999616 4133486592 4190896128 4272749568 4439670784 4714758144 4926210048 4994629632 5063999488 5511315456 5587861504 5618958336 5696999424 6200229888 6286344192 6409124352 6568280064 6659506176 7072137216 7491944448 7595999232 8266973184 8381792256 8545499136 8879341568 9429516288 9852420096 9989259264 10127998976 11175723008 11237916672 11393998848 12400459776 12572688384 12818248704 13319012352 14144274432 14983888896 15191998464 16533946368 16763584512 17090998272 17758683136 18859032576 19704840192 19978518528 20255997952 22351446016 22475833344 22787997696 24800919552 25145376768 25636497408 26638024704 28288548864 29967777792 30383996928 33527169024 34181996544 37718065152 39957037056 40511995904 44702892032 44951666688 45575995392 49601839104 50290753536 51272994816 53276049408 56577097728 59935555584 60767993856 67054338048 68363993088 75436130304 79914074112 81023991808 89903333376 91151990784 100581507072 102545989632 113154195456 119871111168 121535987712 134108676096 136727986176 150872260608 159828148224 162047983616 179806666752 182303981568 201163014144 205091979264 226308390912 239742222336 243071975424 273455972352 301744521216 324095967232 359613333504 364607963136 402326028288 410183958528 452616781824 479484444672 486143950848 546911944704 603489042432 648191934464 719226667008 729215926272 820367917056 905233563648 972287901696 1093823889408 1206978084864 1296383868928 1438453334016 1458431852544 1640735834112 1810467127296 1944575803392 2187647778816 2916863705088 3281471668224 3620934254592 3889151606784 4375295557632 5833727410176 6562943336448 8750591115264 11667454820352 13125886672896 17501182230528 26251773345792 35002364461056 52503546691584 105007093383168
• Sum of all divisors σ(n): 329049672301350
• Sum of proper divisors (its aliquot sum) s(n): 224042578918182
• 105007093383168 is an abundant number, because the sum of its proper divisors (224042578918182) is greater than itself. Its abundance is 119035485535014

Bases of 105007093383168

• Binary: 10111111000000011011110100000000000000000000000₂
• Hexadecimal: 0x5F80DE800000
• Base-36: 117ZLC7400

Squares and roots of 105007093383168

• 105007093383168 squared (105007093383168²) is 11026489660781364768065716224
• 105007093383168 cubed (105007093383168³) is 1157859629498205213209474069095381186117632
• The square root of 105007093383168 is 10247296.8817716997
• The cube root of 105007093383168 is 47178.0021414995

Scales and comparisons

• 105,007,093,383,168 seconds is equal to 3,338,900 years, 39 weeks, 4 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 105,007,093,383,168 would take you about eight million, three hundred forty-seven thousand, two hundred fifty-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 105007093383168 cubic inches would be around 3931.5 feet tall.

Recreational maths with 105007093383168

• 105007093383168 backwards is 861383390700501
• 105007093383168 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 105007093383168's digits is 54
• More coming soon!