345268876674400

Names of 345268876674400

• Cardinal: 345268876674400 can be written as Three hundred forty-five trillion, two hundred sixty-eight billion, eight hundred seventy-six million, six hundred seventy-four thousand, four hundred.

Scientific notation

• Scientific notation: 3.452688766744 × 10¹⁴

Factors of 345268876674400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 984

Divisors of 345268876674400

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 49 50 56 58 70 80 98 100 112 116 140 145 160 175 196 200 203 224 232 245 280 290 343 350 392 400 406 464 490 560 580 686 700 725 784 800 812 928 941 980 1015 1120 1160 1225 1372 1400 1421 1450 1568 1624 1715 1882 1960 2030 2320 2401 2450 2744 2800 2842 2900 3248 3430 3764 3920 4060 4640 4705 4802 4900 5075 5488 5600 5684 5800 6496 6587 6860 7105 7528 7840 8120 8575 9410 9604 9800 9947 10150 10976 11368 11600 12005 13174 13720 14210 15056 16240 16807 17150 18820 19208 19600 19894 20300 22736 23200 23525 24010 26348 27289 27440 28420 30112 32480 32935 33614 34300 35525 37640 38416 39200 39788 40600 45472 46109 47050 48020 49735 52696 54578 54880 56840 60025 65870 67228 68600 69629 71050 75280 76832 79576 81200 84035 92218 94100 96040 99470 105392 109156 113680 120050 131740 134456 136445 137200 139258 142100 150560 159152 162400 164675 168070 184436 188200 191023 192080 198940 210784 218312 227360 230545 240100 248675 263480 268912 272890 274400 278516 284200 318304 322763 329350 336140 348145 368872 376400 382046 384160 397880 420175 436624 461090 480200 487403 497350 526960 537824 545780 557032 568400 645526 658700 672280 682225 696290 737744 752800 764092 795760 840350 873248 885481 922180 955115 960400 974806 994700 1053920 1091560 1114064 1136800 1152725 1291052 1317400 1337161 1344560 1364450 1392580 1475488 1528184 1591520 1613815 1680700 1740725 1770962 1844360 1910230 1920800 1949612 1989400 2183120 2228128 2259341 2305450 2437015 2582104 2634800 2674322 2689120 2728900 2785160 3056368 3227630 3361400 3481450 3541924 3688720 3820460 3899224 3978800 4366240 4427405 4518682 4610900 4775575 4874030 5164208 5269600 5348644 5457800 5570320 6112736 6198367 6455260 6685805 6722800 6962900 7083848 7377440 7640920 7798448 7957600 8069075 8854810 9037364 9221800 9360127 9551150 9748060 10328416 10697288 10915600 11140640 11296705 12185075 12396734 12910520 13371610 13445600 13925800 14167696 15281840 15596896 15815387 16138150 17709620 18074728 18443600 18720254 19102300 19496120 21394576 21831200 22137025 22593410 24370150 24793468 25678949 25821040 26743220 27851600 28335392 30563680 30991835 31630774 32276300 33429025 35419240 36149456 36887200 37440508 38204600 38992240 42789152 43388569 44274050 45186820 46800635 48740300 49586936 51357898 51642080 53486440 55703200 56483525 61983670 63261548 64552600 65520889 66858050 70838480 72298912 74881016 76409200 77984480 79076935 86777138 88548100 90373640 93601270 97480600 99173872 102715796 106972880 112967050 123967340 126523096 128394745 129105200 131041778 133716100 141676960 149762032 152818400 154959175 158153870 173554276 177096200 179752643 180747280 187202540 194961200 198347744 205431592 213945760 216942845 225934100 234003175 247934680 253046192 256789490 258210400 262083556 267432200 299524064 303719983 309918350 316307740 327604445 347108552 354192400 359505286 361494560 374405080 389922400 395384675 410863184 433885690 451868200 458646223 468006350 495869360 506092384 513578980 524167112 534864400 607439966 619836700 632615480 641973725 655208890 694217104 708384800 719010572 748810160 790769350 821726368 867771380 898763215 903736400 917292446 936012700 991738720 1027157960 1048334224 1069728800 1084714225 1214879932 1239673400 1258268501 1265230960 1283947450 1310417780 1388434208 1438021144 1497620320 1518599915 1581538700 1638022225 1735542760 1797526430 1807472800 1834584892 1872025400 2054315920 2096668448 2126039881 2169428450 2293231115 2429759864 2479346800 2516537002 2530461920 2567894900 2620835560 2876042288 3037199830 3163077400 3276044450 3471085520 3595052860 3669169784 3744050800 4108631840 4252079762 4338856900 4493816075 4586462230 4859519728 4958693600 5033074004 5135789800 5241671120 5752084576 6074399660 6291342505 6326154800 6552088900 6942171040 7190105720 7338339568 7488101600 7592999575 8504159524 8677713800 8807879507 8987632150 9172924460 9719039456 10066148008 10271579600 10483342240 10630199405 11466155575 12148799320 12582685010 12652309600 13104177800 14380211440 14676679136 14882279167 15185999150 17008319048 17355427600 17615759014 17975264300 18345848920 20132296016 20543159200 21260398810 22932311150 24297598640 25165370020 26208355600 28760422880 29764558334 30371998300 31456712525 34016638096 34710855200 35231518028 35950528600 36691697840 40264592032 42520797620 44039397535 45864622300 48595197280 50330740040 52416711200 53150997025 59529116668 60743996600 61655156549 62913425050 68033276192 70463036056 71901057200 73383395680 74411395835 85041595240 88078795070 91729244600 100661480080 106301994050 119058233336 121487993200 123310313098 125826850100 140926072112 143802114400 148822791670 170083190480 176157590140 183458489200 201322960160 212603988100 220196987675 238116466672 242975986400 246620626196 251653700200 281852144224 297645583340 308275782745 340166380960 352315180280 366916978400 372056979175 425207976200 431586095843 440393975350 476232933344 493241252392 503307400400 595291166680 616551565490 704630360560 744113958350 850415952400 863172191686 880787950700 986482504784 1006614800800 1190582333360 1233103130980 1409260721120 1488227916700 1541378913725 1700831904800 1726344383372 1761575901400 1972965009568 2157930479215 2381164666720 2466206261960 2976455833400 3082757827450 3452688766744 3523151802800 4315860958430 4932412523920 5952911666800 6165515654900 6905377533488 7046303605600 8631721916860 9864825047840 10789652396075 11905823333600 12331031309800 13810755066976 17263443833720 21579304792150 24662062619600 34526887667440 43158609584300 49324125239200 69053775334880 86317219168600 172634438337200 345268876674400
• Sum of all divisors σ(n): 1018351746160560
• Sum of proper divisors (its aliquot sum) s(n): 673082869486160
• 345268876674400 is an abundant number, because the sum of its proper divisors (673082869486160) is greater than itself. Its abundance is 327813992811760

Bases of 345268876674400

• Binary: 1001110100000010100101100101111110000010101100000₂
• Hexadecimal: 0x13A052CBF0560
• Base-36: 3EDYBYLDGG

Squares and roots of 345268876674400

• 345268876674400 squared (345268876674400²) is 119210597200002036403615360000
• 345268876674400 cubed (345268876674400³) is 41159708982929077058468731034133558784000000
• The square root of 345268876674400 is 18581412.1281026431
• The cube root of 345268876674400 is 70154.0062759019

Scales and comparisons

• 345,268,876,674,400 seconds is equal to 10,978,482 years, 15 weeks, 1 day, 2 hours, 26 minutes, 40 seconds.
• To count from 1 to 345,268,876,674,400 would take you about twenty-seven million, four hundred forty-six thousand, two hundred five 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 345268876674400 cubic inches would be around 5846.2 feet tall.

Recreational maths with 345268876674400

• 345268876674400 backwards is 004476678862543
• 345268876674400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 345268876674400's digits is 70
• More coming soon!