146036256792768

Names of 146036256792768

• Cardinal: 146036256792768 can be written as One hundred forty-six trillion, thirty-six billion, two hundred fifty-six million, seven hundred ninety-two thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.46036256792768 × 10¹⁴

Factors of 146036256792768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 139

Divisors of 146036256792768

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 97 108 111 144 148 162 192 194 216 222 243 288 291 296 324 333 388 432 444 486 576 582 592 648 666 729 776 864 873 888 972 999 1164 1184 1296 1332 1369 1458 1552 1728 1746 1776 1944 1998 2187 2328 2368 2592 2619 2664 2738 2916 2997 3104 3492 3552 3589 3888 3996 4107 4374 4656 5184 5238 5328 5476 5832 5994 6208 6561 6984 7104 7178 7776 7857 7992 8214 8748 8991 9312 9409 10476 10656 10767 10952 11664 11988 12321 13122 13968 14356 15552 15714 15984 16428 17496 17982 18624 18818 19683 20952 21312 21534 21904 23328 23571 23976 24642 26244 26973 27936 28227 28712 31428 31968 32301 32856 34992 35964 36963 37636 39366 41904 43068 43808 46656 47142 47952 49284 52488 53946 55872 56454 57424 59049 62856 63936 64602 65712 69984 70713 71928 73926 75272 78732 80919 83808 84681 86136 87616 94284 95904 96903 98568 104976 107892 110889 112908 114848 118098 125712 129204 131424 132793 139968 141426 143856 147852 150544 157464 161838 167616 169362 172272 177147 188568 191808 193806 197136 209952 212139 215784 221778 225816 229696 236196 242757 251424 254043 258408 262848 265586 282852 287712 290709 295704 301088 314928 323676 332667 338724 344544 348133 354294 377136 387612 394272 398379 419904 424278 431568 443556 451632 472392 485514 502848 508086 516816 531172 565704 575424 581418 591408 602176 629856 636417 647352 665334 677448 689088 696266 708588 728271 754272 762129 775224 788544 796758 848556 863136 872127 887112 903264 944784 971028 998001 1016172 1033632 1044399 1062344 1131408 1162836 1182816 1195137 1259712 1272834 1294704 1330668 1354896 1392532 1417176 1456542 1508544 1524258 1550448 1593516 1697112 1726272 1744254 1774224 1806528 1889568 1909251 1942056 1996002 2032344 2067264 2088798 2124688 2184813 2262816 2286387 2325672 2365632 2390274 2545668 2589408 2616381 2661336 2709792 2785064 2834352 2913084 2994003 3048516 3100896 3133197 3187032 3394224 3488508 3548448 3585411 3779136 3818502 3884112 3992004 4064688 4177596 4249376 4369626 4525632 4572774 4651344 4780548 5091336 5178816 5232762 5322672 5419584 5570128 5668704 5727753 5826168 5988006 6097032 6201792 6266394 6374064 6554439 6788448 6859161 6977016 7096896 7170822 7637004 7768224 7849143 7984008 8129376 8355192 8498752 8739252 8982009 9145548 9302688 9399591 9561096 10182672 10465524 10645344 10756233 11140256 11337408 11455506 11652336 11976012 12194064 12532788 12748128 12880921 13108878 13576896 13718322 13954032 14341644 15274008 15536448 15698286 15968016 16258752 16710384 17183259 17478504 17964018 18291096 18605376 18799182 19122192 20365344 20577483 20931048 21290688 21512466 22280512 22911012 23304672 23547429 23952024 24388128 25065576 25496256 25761842 26217756 26946027 27436644 27908064 28198773 28683288 30548016 31396572 31936032 32268699 33420768 34366518 34957008 35928036 36582192 37598364 38244384 38642763 40730688 41154966 41862096 43024932 45822024 46609344 47094858 47904048 48776256 50131152 51523684 52435512 53892054 54873288 55816128 56397546 57366576 61096032 61732449 62793144 63872064 64537398 66841536 68733036 69914016 70642287 71856072 73164384 75196728 76488768 77285526 80838081 82309932 83724192 84596319 86049864 91644048 94189716 95808096 96806097 100262304 103047368 104871024 107784108 109746576 112795092 114733152 115928289 122192064 123464898 125586288 129074796 137466072 139828032 141284574 143712144 146328768 150393456 154571052 161676162 164619864 167448384 169192638 172099728 183288096 185197347 188379432 191616192 193612194 200524608 206094736 209742048 211926861 215568216 219493152 225590184 229466304 231856578 242514243 246929796 251172576 253788957 258149592 274932144 282569148 287424288 290418291 300786912 309142104 323352324 329239728 338385276 344199456 347784867 366576192 370394694 376758864 387224388 412189472 419484096 423853722 431136432 438986304 451180368 463713156 485028486 493859592 502345152 507577914 516299184 549864288 555592041 565138296 574848576 580836582 601573824 618284208 635780583 646704648 658479456 676770552 688398912 695569734 740789388 753517728 761366871 774448776 824378944 847707444 862272864 871254873 902360736 927426312 970056972 987719184 1015155828 1032598368 1043354601 1099728576 1111184082 1130276592 1161673164 1236568416 1271561166 1293409296 1316958912 1353541104 1391139468 1481578776 1507035456 1522733742 1548897552 1666776123 1695414888 1724545728 1742509746 1804721472 1854852624 1940113944 1975438368 2030311656 2065196736 2086709202 2222368164 2260553184 2284100613 2323346328 2473136832 2543122332 2586818592 2613764619 2707082208 2782278936 2963157552 3045467484 3097795104 3130063803 3333552246 3390829776 3485019492 3709705248 3880227888 3950876736 4060623312 4173418404 4444736328 4521106368 4568201226 4646692656 5086244664 5173637184 5227529238 5414164416 5564557872 5926315104 6090934968 6195590208 6260127606 6667104492 6781659552 6852301839 6970038984 7419410496 7760455776 7841293857 8121246624 8346836808 8889472656 9136402452 9293385312 9390191409 10172489328 10455058476 11129115744 11852630208 12181869936 12520255212 13334208984 13563319104 13704603678 13940077968 15520911552 15682587714 16242493248 16693673616 17778945312 18272804904 18586770624 18780382818 20344978656 20556905517 20910116952 22258231488 23523881571 24363739872 25040510424 26668417968 27409207356 27880155936 28170574227 31365175428 33387347232 35557890624 36545609808 37560765636 40689957312 41113811034 41820233904 47047763142 48727479744 50081020848 53336835936 54818414712 55760311872 56341148454 61670716551 62730350856 66774694464 73091219616 75121531272 82227622068 83640467808 84511722681 94095526284 100162041696 106673671872 109636829424 112682296908 123341433102 125460701712 146182439232 150243062544 164455244136 167280935616 169023445362 188191052568 200324083392 219273658848 225364593816 246682866204 250921403424 253535168043 300486125088 328910488272 338046890724 376382105136 438547317696 450729187632 493365732408 501842806848 507070336086 600972250176 657820976544 676093781448 752764210272 760605504129 901458375264 986731464816 1014140672172 1315641953088 1352187562896 1505528420544 1521211008258 1802916750528 1973462929632 2028281344344 2281816512387 2704375125792 3042422016516 3946925859264 4056562688688 4563633024774 5408750251584 6084844033032 8113125377376 9127266049548 12169688066064 16226250754752 18254532099096 24339376132128 36509064198192 48678752264256 73018128396384 146036256792768
• Sum of all divisors σ(n): 451404158947560
• Sum of proper divisors (its aliquot sum) s(n): 305367902154792
• 146036256792768 is an abundant number, because the sum of its proper divisors (305367902154792) is greater than itself. Its abundance is 159331645362024

Bases of 146036256792768

• Binary: 100001001101000110110111001101011110000011000000₂
• Hexadecimal: 0x84D1B735E0C0
• Base-36: 1FRK4OR000

Squares and roots of 146036256792768

• 146036256792768 squared (146036256792768²) is 21326588298043277821697101824
• 146036256792768 cubed (146036256792768³) is 3114455125206689170911653588578898962808832
• The square root of 146036256792768 is 12084546.1972209779
• The cube root of 146036256792768 is 52660.7327137605

Scales and comparisons

• 146,036,256,792,768 seconds is equal to 4,643,501 years, 12 weeks, 5 days, 14 hours, 52 minutes, 48 seconds.
• To count from 1 to 146,036,256,792,768 would take you about eleven million, six hundred eight thousand, seven hundred fifty-three 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 146036256792768 cubic inches would be around 4388.4 feet tall.

Recreational maths with 146036256792768

• 146036256792768 backwards is 867297652630641
• 146036256792768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146036256792768's digits is 72
• More coming soon!