146008705638400

Names of 146008705638400

• Cardinal: 146008705638400 can be written as One hundred forty-six trillion, eight billion, seven hundred five million, six hundred thirty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.460087056384 × 10¹⁴

Factors of 146008705638400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 51083

Divisors of 146008705638400

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 31 32 40 41 44 50 55 62 64 80 82 88 100 110 124 128 155 160 164 176 200 205 220 248 256 275 310 320 328 341 352 400 410 440 451 496 512 550 620 640 656 682 704 775 800 820 880 902 992 1024 1025 1100 1240 1271 1280 1312 1364 1408 1550 1600 1640 1705 1760 1804 1984 2048 2050 2200 2255 2480 2542 2560 2624 2728 2816 3100 3200 3280 3410 3520 3608 3968 4096 4100 4400 4510 4960 5084 5120 5248 5456 5632 6200 6355 6400 6560 6820 7040 7216 7936 8192 8200 8525 8800 9020 9920 10168 10240 10496 10912 11264 11275 12400 12710 12800 13120 13640 13981 14080 14432 15872 16400 17050 17600 18040 19840 20336 20480 20992 21824 22528 22550 24800 25420 25600 26240 27280 27962 28160 28864 31744 31775 32800 34100 35200 36080 39680 40672 40960 41984 43648 45056 45100 49600 50840 50993 51200 52480 54560 55924 56320 57728 63488 63550 65600 68200 69905 70400 72160 79360 81344 83968 87296 90112 90200 99200 101680 101986 102400 104960 109120 111848 112640 115456 126976 127100 131200 136400 139810 140800 144320 158720 162688 167936 174592 180400 198400 203360 203972 204800 209920 218240 223696 225280 230912 253952 254200 254965 262400 272800 279620 281600 288640 317440 325376 335872 349184 349525 360800 396800 406720 407944 419840 436480 447392 450560 461824 508400 509930 524800 545600 559240 560923 563200 577280 634880 650752 698368 699050 721600 793600 813440 815888 839680 872960 894784 923648 1016800 1019860 1049600 1091200 1118480 1121846 1126400 1154560 1269760 1274825 1301504 1396736 1398100 1443200 1580783 1587200 1626880 1631776 1679360 1745920 1789568 1847296 2033600 2039720 2090713 2099200 2182400 2236960 2243692 2252800 2309120 2549650 2603008 2793472 2796200 2804615 2886400 3161566 3174400 3253760 3263552 3491840 3579136 3694592 4067200 4079440 4181426 4198400 4364800 4473920 4487384 4618240 5099300 5206016 5592400 5609230 5772800 6323132 6348800 6507520 6527104 6983680 7158272 7903915 8134400 8158880 8362852 8396800 8729600 8947840 8974768 9236480 10198600 10412032 10453565 11184800 11218460 11545600 12646264 13015040 13054208 13967360 14023075 14316544 15807830 16268800 16317760 16725704 17388613 17459200 17895680 17949536 18472960 20397200 20907130 22369600 22436920 22997843 23091200 25292528 26030080 26108416 28046150 28633088 31615660 32537600 32635520 33451408 34777226 34918400 35791360 35899072 39519575 40794400 41814260 44739200 44873840 45995686 46182400 50585056 52060160 52216832 52267825 56092300 57266176 63231320 64812103 65075200 65271040 66902816 69554452 69836800 71582720 71798144 79039150 81588800 83628520 86943065 89478400 89747680 91991372 92364800 101170112 104433664 104535650 112184600 114532352 114989215 126462640 129624206 130150400 130542080 133805632 139108904 143165440 143596288 158078300 163177600 167257040 173886130 178956800 179495360 183982744 202340224 208867328 209071300 224369200 229978430 252925280 259248412 260300800 261084160 267611264 278217808 286330880 287192576 316156600 324060515 326355200 334514080 347772260 357913600 358990720 367965488 404680448 417734656 418142600 434715325 448738400 459956860 505850560 518496824 522168320 535222528 556435616 572661760 574385152 574946075 632313200 648121030 652710400 669028160 695544520 712933133 715827200 717981440 735930976 809360896 836285200 869430650 897476800 919913720 1011701120 1036993648 1044336640 1070445056 1112871232 1148770304 1149892150 1264626400 1296242060 1305420800 1338056320 1391089040 1425866266 1431654400 1435962880 1471861952 1618721792 1620302575 1672570400 1738861300 1794953600 1839827440 2023402240 2073987296 2088673280 2140890112 2225742464 2297540608 2299784300 2529252800 2592484120 2610841600 2676112640 2782178080 2851732532 2863308800 2871925760 2943723904 3237443584 3240605150 3345140800 3477722600 3564665665 3589907200 3679654880 4046804480 4147974592 4281780224 4451484928 4595081216 4599568600 5058505600 5184968240 5221683200 5352225280 5564356160 5703465064 5743851520 5887447808 6474887168 6481210300 6690281600 6955445200 7129331330 7179814400 7359309760 8093608960 8295949184 8563560448 8902969856 9199137200 10117011200 10369936480 10443366400 10704450560 11128712320 11406930128 11487703040 11774895616 12949774336 12962420600 13380563200 13910890400 14258662660 14359628800 14718619520 16187217920 16591898368 17127120896 17805939712 17823328325 18398274400 20234022400 20739872960 21408901120 22257424640 22813860256 22975406080 23549791232 25924841200 26761126400 27821780800 28517325320 28719257600 29437239040 32374435840 33183796736 35611879424 35646656650 36796548800 40468044800 41479745920 42817802240 44514849280 45627720512 47099582464 51849682400 53522252800 55643561600 57034650640 57438515200 58874478080 64748871680 66367593472 71223758848 71293313300 73593097600 80936089600 82959491840 85635604480 89029698560 91255441024 94199164928 103699364800 107044505600 111287123200 114069301280 114877030400 117748956160 132735186944 142447517696 142586626600 147186195200 161872179200 165918983680 178059397120 182510882048 188398329856 207398729600 214089011200 222574246400 228138602560 235497912320 265470373888 285173253200 294372390400 323744358400 331837967360 356118794240 365021764096 414797459200 428178022400 445148492800 456277205120 470995824640 530940747776 570346506400 588744780800 663675934720 712237588480 730043528192 829594918400 890296985600 912554410240 941991649280 1140693012800 1177489561600 1327351869440 1460087056384 1659189836800 1780593971200 1825108820480 2281386025600 2354979123200 2654703738880 2920174112768 3318379673600 3561187942400 3650217640960 4562772051200 4709958246400 5840348225536 6636759347200 7300435281920 9125544102400 13273518694400 14600870563840 18251088204800 29201741127680 36502176409600 73004352819200 146008705638400
• Sum of all divisors σ(n): 417690617089536
• Sum of proper divisors (its aliquot sum) s(n): 271681911451136
• 146008705638400 is an abundant number, because the sum of its proper divisors (271681911451136) is greater than itself. Its abundance is 125673205812736

Bases of 146008705638400

• Binary: 100001001100101101001101000010001010000000000000₂
• Hexadecimal: 0x84CB4D08A000
• Base-36: 1FR7H1I58G

Squares and roots of 146008705638400

• 146008705638400 squared (146008705638400²) is 21318542122200939951554560000
• 146008705638400 cubed (146008705638400³) is 3112692741360268282922324107517231104000000
• The square root of 146008705638400 is 12083406.2101048311
• The cube root of 146008705638400 is 52657.4208530455

Scales and comparisons

• 146,008,705,638,400 seconds is equal to 4,642,625 years, 10 weeks, 4 days, 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 146,008,705,638,400 would take you about eleven million, six hundred six thousand, five hundred sixty-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 146008705638400 cubic inches would be around 4388.1 feet tall.

Recreational maths with 146008705638400

• 146008705638400 backwards is 004836507800641
• The number of decimal digits it has is: 15
• The sum of 146008705638400's digits is 52
• More coming soon!