345946816512

Names of 345946816512

• Cardinal: 345946816512 can be written as Three hundred forty-five billion, nine hundred forty-six million, eight hundred sixteen thousand, five hundred twelve.

Scientific notation

• Scientific notation: 3.45946816512 × 10¹¹

Factors of 345946816512

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 74

Divisors of 345946816512

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 32 33 34 36 41 44 48 51 54 64 66 68 72 81 82 88 96 99 102 108 123 128 132 136 144 153 162 164 176 187 192 198 204 216 246 256 264 272 288 289 297 306 324 328 352 369 374 384 396 408 432 451 459 492 512 528 544 561 576 578 594 612 648 656 697 704 738 748 768 792 816 864 867 891 902 918 984 1024 1056 1088 1107 1122 1152 1156 1188 1224 1296 1312 1353 1377 1394 1408 1476 1496 1536 1584 1632 1683 1728 1734 1782 1804 1836 1968 2048 2091 2112 2176 2214 2244 2304 2312 2376 2448 2592 2601 2624 2706 2754 2788 2816 2952 2992 3072 3168 3179 3264 3321 3366 3456 3468 3564 3608 3672 3936 4059 4096 4182 4224 4352 4428 4488 4608 4624 4752 4896 5049 5184 5202 5248 5412 5508 5576 5632 5904 5984 6144 6273 6336 6358 6528 6642 6732 6912 6936 7128 7216 7344 7667 7803 7872 8118 8192 8364 8448 8704 8856 8976 9216 9248 9504 9537 9792 10098 10368 10404 10496 10824 11016 11152 11264 11808 11849 11968 12177 12288 12546 12672 12716 13056 13284 13464 13824 13872 14256 14432 14688 15147 15334 15606 15744 16236 16384 16728 16896 17408 17712 17952 18432 18496 18819 19008 19074 19584 20196 20736 20808 20992 21648 22032 22304 22528 23001 23409 23616 23698 23936 24354 24576 25092 25344 25432 26112 26568 26928 27648 27744 28512 28611 28864 29376 30294 30668 31212 31488 32472 32768 33456 33792 34816 35424 35547 35904 36531 36864 36992 37638 38016 38148 39168 40392 41472 41616 41984 43296 44064 44608 45056 46002 46818 47232 47396 47872 48708 49152 50184 50688 50864 52224 53136 53856 55296 55488 56457 57024 57222 57728 58752 60588 61336 62424 62976 64944 66912 67584 69003 69632 70848 71094 71808 73062 73728 73984 75276 76032 76296 78336 80784 82944 83232 83968 85833 86592 88128 89216 90112 92004 93636 94464 94792 95744 97416 98304 100368 101376 101728 104448 106272 106641 107712 110592 110976 112914 114048 114444 115456 117504 121176 122672 124848 125952 129888 130339 133824 135168 138006 139264 141696 142188 143616 146124 147456 147968 150552 152064 152592 156672 161568 165888 166464 167936 171666 173184 176256 178432 180224 184008 187272 188928 189584 191488 194832 200736 202752 203456 207009 208896 212544 213282 215424 221184 221952 225828 228096 228888 230912 235008 242352 245344 249696 251904 257499 259776 260678 267648 270336 276012 278528 283392 284376 287232 292248 294912 295936 301104 304128 305184 313344 319923 323136 331776 332928 335872 343332 346368 352512 356864 360448 368016 374544 377856 379168 382976 389664 391017 401472 405504 406912 414018 417792 425088 426564 430848 442368 443904 451656 456192 457776 461824 470016 484704 490688 499392 503808 514998 519552 521356 535296 540672 552024 557056 566784 568752 574464 584496 591872 602208 608256 610368 621027 626688 639846 646272 663552 665856 671744 686664 692736 705024 713728 736032 749088 755712 758336 765952 779328 782034 802944 811008 813824 828036 835584 850176 853128 861696 884736 887808 903312 912384 915552 923648 940032 959769 969408 981376 998784 1007616 1029996 1039104 1042712 1070592 1081344 1104048 1133568 1137504 1148928 1168992 1173051 1183744 1204416 1216512 1220736 1242054 1253376 1279692 1292544 1327104 1331712 1343488 1373328 1385472 1410048 1427456 1472064 1498176 1511424 1516672 1531904 1558656 1564068 1605888 1622016 1627648 1656072 1671168 1700352 1706256 1723392 1775616 1806624 1824768 1831104 1847296 1880064 1919538 1938816 1962752 1997568 2015232 2059992 2078208 2085424 2141184 2208096 2267136 2275008 2297856 2337984 2346102 2367488 2408832 2433024 2441472 2484108 2506752 2559384 2585088 2654208 2663424 2746656 2770944 2820096 2854912 2944128 2996352 3022848 3033344 3063808 3117312 3128136 3211776 3244032 3255296 3312144 3400704 3412512 3446784 3519153 3551232 3613248 3649536 3662208 3694592 3760128 3839076 3877632 3925504 3995136 4030464 4119984 4156416 4170848 4282368 4416192 4534272 4550016 4595712 4675968 4692204 4734976 4817664 4866048 4882944 4968216 5013504 5118768 5170176 5326848 5493312 5541888 5640192 5709824 5888256 5992704 6045696 6066688 6127616 6234624 6256272 6423552 6510592 6624288 6801408 6825024 6893568 7038306 7102464 7226496 7299072 7324416 7389184 7520256 7678152 7755264 7851008 7990272 8239968 8312832 8341696 8564736 8832384 9068544 9100032 9191424 9351936 9384408 9469952 9635328 9732096 9765888 9936432 10237536 10340352 10557459 10653696 10986624 11083776 11280384 11419648 11776512 11985408 12091392 12133376 12469248 12512544 12847104 13021184 13248576 13602816 13650048 13787136 14076612 14204928 14452992 14598144 14648832 14778368 15040512 15356304 15510528 15702016 15980544 16479936 16625664 16683392 17129472 17664768 18137088 18200064 18382848 18703872 18768816 19270656 19531776 19872864 20475072 20680704 21114918 21307392 21973248 22167552 22560768 22839296 23553024 23970816 24266752 24938496 25025088 25694208 26042368 26497152 27205632 27300096 27574272 28153224 28409856 28905984 29196288 29297664 30712608 31021056 31404032 31961088 32959872 33251328 33366784 34258944 35329536 36274176 36400128 37407744 37537632 38541312 39063552 39745728 40950144 41361408 42229836 42614784 43946496 44335104 45121536 47106048 47941632 48533504 49876992 50050176 51388416 52084736 52994304 54411264 54600192 55148544 56306448 57811968 58595328 61425216 62042112 62808064 63922176 65919744 66502656 66733568 68517888 70659072 72800256 74815488 75075264 77082624 78127104 79491456 81900288 82722816 84459672 85229568 87892992 94212096 95883264 97067008 99753984 100100352 102776832 104169472 105988608 108822528 109200384 112612896 115623936 117190656 122850432 124084224 125616128 127844352 131839488 133005312 133467136 141318144 145600512 149630976 150150528 154165248 156254208 158982912 163800576 165445632 168919344 175785984 188424192 191766528 194134016 199507968 200200704 205553664 211977216 218400768 225225792 231247872 234381312 245700864 248168448 251232256 255688704 263678976 266934272 282636288 291201024 299261952 300301056 308330496 312508416 317965824 327601152 337838688 351571968 376848384 383533056 388268032 399015936 400401408 423954432 436801536 450451584 462495744 468762624 491401728 496336896 527357952 533868544 565272576 582402048 598523904 600602112 616660992 635931648 655202304 675677376 703143936 753696768 767066112 800802816 847908864 873603072 900903168 924991488 937525248 982803456 1054715904 1067737088 1130545152 1164804096 1197047808 1201204224 1271863296 1310404608 1351354752 1406287872 1601605632 1695817728 1747206144 1801806336 1849982976 1965606912 2109431808 2135474176 2261090304 2402408448 2543726592 2620809216 2702709504 2812575744 3203211264 3391635456 3494412288 3603612672 3931213824 4218863616 4270948352 4804816896 5087453184 5241618432 5405419008 6406422528 6783270912 7207225344 7862427648 8437727232 9609633792 10174906368 10483236864 10810838016 12812845056 14414450688 15724855296 19219267584 20349812736 21621676032 28828901376 31449710592 38438535168 43243352064 57657802752 86486704128 115315605504 172973408256 345946816512
• Sum of all divisors σ(n): 1226952037080
• Sum of proper divisors (its aliquot sum) s(n): 881005220568
• 345946816512 is an abundant number, because the sum of its proper divisors (881005220568) is greater than itself. Its abundance is 535058404056

Bases of 345946816512

• Binary: 101000010001100000010011000000000000000₂
• Hexadecimal: 0x508C098000
• Base-36: 4EXBSW00

Squares and roots of 345946816512

• 345946816512 squared (345946816512²) is 119679199854787395846144
• 345946816512 cubed (345946816512³) is 41402638192467112275556289350729728
• The square root of 345946816512 is 588172.4377357375
• The cube root of 345946816512 is 7019.9892351359

Scales and comparisons

• 345,946,816,512 seconds is equal to 11,000 years, 2 weeks, 1 hour, 55 minutes, 12 seconds.
• To count from 1 to 345,946,816,512 would take you about twenty-two thousand 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 345946816512 cubic inches would be around 585 feet tall.

Recreational maths with 345946816512

• 345946816512 backwards is 215618649543
• 345946816512 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 345946816512's digits is 54
• More coming soon!