34449374612016

Names of 34449374612016

• Cardinal: 34449374612016 can be written as Thirty-four trillion, four hundred forty-nine billion, three hundred seventy-four million, six hundred twelve thousand and sixteen.

Scientific notation

• Scientific notation: 3.4449374612016 × 10¹³

Factors of 34449374612016

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 236

Divisors of 34449374612016

• Number of divisors d(n): 780
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 81 84 91 104 108 112 117 126 144 156 162 168 182 189 208 211 216 234 243 252 273 312 324 336 351 364 378 422 432 468 486 504 546 567 624 633 648 702 728 729 756 819 844 936 972 1008 1053 1092 1134 1266 1296 1404 1456 1458 1477 1512 1638 1688 1701 1872 1899 1944 2106 2184 2187 2268 2457 2532 2743 2808 2916 2954 3024 3159 3276 3376 3402 3798 3888 4212 4368 4374 4431 4536 4914 5064 5103 5486 5616 5697 5832 5908 6318 6552 6561 6804 7371 7596 8229 8424 8748 8862 9072 9477 9828 10128 10206 10972 11394 11664 11816 12636 13104 13122 13293 13608 14742 15192 15309 16458 16848 17091 17496 17724 18954 19201 19656 19683 20412 21944 22113 22788 23632 24687 25272 26244 26586 27216 28431 29484 30384 30618 32916 34182 34992 35448 37908 38402 39312 39366 39879 40824 43888 44226 44521 45576 45927 49374 50544 51273 52488 53172 56862 57603 58968 59049 61236 65832 66339 68364 70896 74061 75816 76804 78732 79758 81648 85293 88452 89042 91152 91854 98748 102546 104976 106344 113724 115206 117936 118098 119637 122472 131664 132678 133563 136728 137781 148122 151632 153608 153819 157464 159516 170586 172809 176904 177147 178084 183708 197496 199017 205092 212688 222183 227448 230412 236196 239274 244944 255879 265356 267126 273456 275562 296244 307216 307638 311647 314928 319032 341172 345618 353808 354294 356168 358911 367416 394992 398034 400689 410184 413343 444366 454896 460824 461457 472392 478548 511758 518427 530712 531441 534252 551124 578773 592488 597051 615276 623294 638064 666549 682344 691236 708588 712336 717822 734832 767637 796068 801378 820368 826686 888732 921648 922914 934941 944784 957096 1023516 1036854 1061424 1062882 1068504 1076733 1102248 1157546 1184976 1194102 1202067 1230552 1240029 1246588 1333098 1364688 1382472 1384371 1417176 1435644 1535274 1555281 1592136 1602756 1653372 1736319 1777464 1791153 1845828 1869882 1914192 1999647 2047032 2073708 2125764 2137008 2153466 2204496 2302911 2315092 2388204 2404134 2461104 2480058 2493176 2666196 2764944 2768742 2804823 2834352 2871288 3070548 3110562 3184272 3205512 3230199 3306744 3472638 3554928 3582306 3606201 3691656 3720087 3739764 3999294 4051411 4094064 4147416 4153113 4251528 4306932 4605822 4630184 4665843 4776408 4808268 4960116 4986352 5208957 5332392 5373459 5537484 5609646 5742576 5998941 6141096 6221124 6411024 6460398 6613488 6908733 6945276 7164612 7212402 7383312 7440174 7479528 7998588 8102822 8294832 8306226 8414469 8503056 8613864 9211644 9260368 9331686 9552816 9616536 9690597 9920232 10417914 10664784 10746918 10818603 11074968 11219292 11997882 12154233 12282192 12442248 12459339 12920796 13817466 13890552 13997529 14329224 14424804 14880348 14959056 15626871 15997176 16120377 16205644 16612452 16828938 17227728 17996823 18423288 18663372 19233072 19381194 19840464 20835828 21493836 21637206 22149936 22438584 23995764 24308466 24884496 24918678 25243407 25841592 27634932 27781104 27995058 28658448 28849608 29071791 29760696 31253742 31994352 32240754 32411288 32455809 33224904 33657876 35993646 36462699 36846576 37326744 37378017 38762388 41671656 41992587 42987672 43274412 44877168 46880613 47991528 48361131 48616932 49837356 50486814 51683184 53990469 55269864 55990116 57699216 58143582 59521392 62507484 64481508 64822576 64911618 66449808 67315752 71987292 72925398 74653488 74756034 75730221 77524776 83343312 83985174 85975344 86548824 87215373 93761226 95983056 96722262 97233864 97367427 99674712 100973628 107980938 109388097 110539728 111980232 112134051 116287164 125014968 125977761 128963016 129823236 134631504 140641839 143974584 145850796 149512068 151460442 155049552 161971407 167970348 173097648 174430746 187522452 193444524 194467728 194734854 199349424 201947256 215961876 218776194 223960464 224268102 227190663 232574328 250029936 251955522 257926032 259646472 261646119 281283678 287949168 291701592 292102281 299024136 302920884 323942814 328164291 335940696 348861492 375044904 377933283 386889048 389469708 403894512 421925517 431923752 437552388 448536204 454381326 465148656 485914221 503911044 519292944 523292238 562567356 583403184 584204562 598048272 605841768 647885628 656328582 671881392 681571989 697722984 750089808 755866566 773778096 778939416 784938357 843851034 863847504 875104776 876306843 897072408 908762652 971828442 984492873 1007822088 1046584476 1125134712 1133799849 1168409124 1211683536 1265776551 1295771256 1312657164 1363143978 1395445968 1457742663 1511733132 1557878832 1569876714 1687702068 1750209552 1752613686 1794144816 1817525304 1943656884 1968985746 2015644176 2044715967 2093168952 2250269424 2267599698 2336818248 2531553102 2591542512 2625314328 2628920529 2726287956 2915485326 2953478619 3023466264 3139753428 3375404136 3401399547 3505227372 3635050608 3797329653 3887313768 3937971492 4089431934 4186337904 4535199396 4673636496 5063106204 5250628656 5257841058 5452575912 5830970652 5906957238 6046932528 6134147901 6279506856 6750808272 6802799094 7010454744 7594659306 7774627536 7875942984 7886761587 8178863868 8860435857 9070398792 10126212408 10204198641 10515682116 10905151824 11391988959 11661941304 11813914476 12268295802 12559013712 13605598188 14020909488 15189318612 15751885968 15773523174 16357727736 17720871714 18140797584 18402443703 20252424816 20408397282 21031364232 22783977918 23323882608 23627828952 23660284761 24536591604 26581307571 27211196376 30378637224 31547046348 32715455472 34175966877 35441743428 36804887406 40816794564 42062728464 45567955836 47255657904 47320569522 49073183208 53162615142 54422392752 55207331109 60757274448 63094092696 68351933754 70883486856 73609774812 79743922713 81633589128 91135911672 94641139044 98146366416 102527900631 106325230284 110414662218 126188185392 136703867508 141766973712 147219549624 159487845426 163267178256 165621993327 182271823344 189282278088 205055801262 212650460568 220829324436 239231768139 273407735016 294439099248 307583701893 318975690852 331243986654 378564556176 410111602524 425300921136 441658648872 478463536278 546815470032 615167403786 637951381704 662487973308 717695304417 820223205048 883317297744 956927072556 1230334807572 1275902763408 1324975946616 1435390608834 1640446410096 1913854145112 2153085913251 2460669615144 2649951893232 2870781217668 3827708290224 4306171826502 4921339230288 5741562435336 8612343653004 11483124870672 17224687306008 34449374612016
• Sum of all divisors σ(n): 123809447261136
• Sum of proper divisors (its aliquot sum) s(n): 89360072649120
• 34449374612016 is an abundant number, because the sum of its proper divisors (89360072649120) is greater than itself. Its abundance is 54910698037104

Bases of 34449374612016

• Binary: 111110101010011011110101111001000101000110000₂
• Hexadecimal: 0x1F54DEBC8A30
• Base-36: C7LTO6R00

Squares and roots of 34449374612016

• 34449374612016 squared (34449374612016²) is 1186759411159012530531584256
• 34449374612016 cubed (34449374612016³) is 40883119529352343914863177733273814020096
• The square root of 34449374612016 is 5869358.9609101267
• The cube root of 34449374612016 is 32538.2192148707

Scales and comparisons

• 34,449,374,612,016 seconds is equal to 1,095,383 years, 28 weeks, 5 days, 13 hours, 33 minutes, 36 seconds.
• To count from 1 to 34,449,374,612,016 would take you about two million, seven hundred thirty-eight thousand, four hundred fifty-eight 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 34449374612016 cubic inches would be around 2711.5 feet tall.

Recreational maths with 34449374612016

• 34449374612016 backwards is 61021647394443
• 34449374612016 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34449374612016's digits is 54
• More coming soon!