146041689638400

Names of 146041689638400

• Cardinal: 146041689638400 can be written as One hundred forty-six trillion, forty-one billion, six hundred eighty-nine million, six hundred thirty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.460416896384 × 10¹⁴

Factors of 146041689638400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 84913

Divisors of 146041689638400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 100 120 124 128 150 155 160 186 192 200 240 248 256 300 310 320 372 384 400 465 480 496 512 600 620 640 744 768 775 800 930 960 992 1200 1240 1280 1471 1488 1536 1550 1600 1860 1920 1984 2325 2400 2480 2560 2942 2976 3100 3200 3720 3840 3968 4413 4650 4800 4960 5884 5952 6200 6400 7355 7440 7680 7936 8826 9300 9600 9920 11768 11904 12400 12800 14710 14880 15872 17652 18600 19200 19840 22065 23536 23808 24800 29420 29760 35304 36775 37200 38400 39680 44130 45601 47072 47616 49600 58840 59520 70608 73550 74400 79360 83401 88260 91202 94144 99200 110325 117680 119040 136803 141216 147100 148800 166802 176520 182404 188288 198400 220650 228005 235360 238080 250203 273606 282432 294200 297600 333604 353040 364808 376576 396800 417005 441300 456010 470720 500406 547212 564864 588400 595200 667208 684015 706080 729616 753152 834010 882600 912020 941440 1000812 1094424 1129728 1140025 1176800 1190400 1251015 1334416 1368030 1412160 1459232 1668020 1765200 1824040 1882880 2001624 2085025 2188848 2259456 2280050 2353600 2502030 2585431 2668832 2736060 2824320 2918464 3336040 3420075 3530400 3648080 3765760 4003248 4170050 4377696 4560100 4707200 5004060 5170862 5337664 5472120 5648640 5836928 6255075 6672080 6840150 7060800 7296160 7756293 8006496 8340100 8755392 9120200 9414400 10008120 10341724 10675328 10944240 11297280 11673856 12510150 12927155 13344160 13680300 14121600 14592320 15512586 16012992 16680200 17510784 18240400 18828800 20016240 20683448 21350656 21888480 23347712 25020300 25854310 26688320 27360600 28243200 29184640 31025172 32025984 33360400 35021568 36480800 38781465 40032480 41366896 42701312 43776960 50040600 51708620 53376640 54721200 56486400 58369280 62050344 64051968 64635775 66720800 70043136 72961600 77562930 80064960 82733792 87553920 100081200 103417240 106753280 109442400 116738560 122682871 124100688 128103936 129271550 133441600 145923200 155125860 160129920 165467584 175107840 193907325 200162400 206834480 213506560 218884800 245365742 248201376 258543100 266883200 291846400 310251720 320259840 330935168 350215680 368048613 387814650 400324800 413668960 437769600 490731484 496402752 517086200 533766400 583692800 613414355 620503440 640519680 661870336 736097226 775629300 800649600 827337920 875539200 981462968 992805504 1034172400 1067532800 1226828710 1241006880 1323740672 1472194452 1551258600 1601299200 1654675840 1751078400 1840243065 1962925936 1985611008 2068344800 2453657420 2482013760 2944388904 3067071775 3102517200 3202598400 3309351680 3680486130 3803169001 3925851872 3971222016 4136689600 4907314840 4964027520 5888777808 6134143550 6205034400 6618703360 7360972260 7606338002 7851703744 8273379200 9201215325 9814629680 9928055040 11409507003 11777555616 12268287100 12410068800 14721944520 15212676004 15703407488 16546758400 18402430650 19015845005 19629259360 19856110080 22819014006 23555111232 24536574200 24820137600 29443889040 30425352008 31406814976 33093516800 36804861300 38031690010 39258518720 45638028012 47110222464 49073148400 49640275200 57047535015 58887778080 60850704016 62813629952 73609722600 76063380020 78517037440 91276056024 94220444928 95079225025 98146296800 99280550400 114095070030 117775556160 121701408032 147219445200 152126760040 157034074880 182552112048 188440889856 190158450050 196292593600 228190140060 235551112320 243402816064 285237675075 294438890400 304253520080 314068149760 365104224096 380316900100 392585187200 456380280120 471102224640 486805632128 570475350150 588877780800 608507040160 730208448192 760633800200 785170374400 912760560240 942204449280 973611264256 1140950700300 1177755561600 1217014080320 1460416896384 1521267600400 1570340748800 1825521120480 1947222528512 2281901400600 2355511123200 2434028160640 2920833792768 3042535200800 3651042240960 4563802801200 4711022246400 4868056321280 5841667585536 6085070401600 7302084481920 9127605602400 9736112642560 12170140803200 14604168963840 18255211204800 24340281606400 29208337927680 36510422409600 48680563212800 73020844819200 146041689638400
• Sum of all divisors σ(n): 498346683580416
• Sum of proper divisors (its aliquot sum) s(n): 352304993942016
• 146041689638400 is an abundant number, because the sum of its proper divisors (352304993942016) is greater than itself. Its abundance is 206263304303616

Bases of 146041689638400

• Binary: 100001001101001011111011000010001000011000000000₂
• Hexadecimal: 0x84D2FB088600
• Base-36: 1FRMMJBQIO

Squares and roots of 146041689638400

• 146041689638400 squared (146041689638400²) is 21328175112438749922754560000
• 146041689638400 cubed (146041689638400³) is 3114802730324226939548593425538351104000000
• The square root of 146041689638400 is 12084770.9799731001
• The cube root of 146041689638400 is 52661.3857344333

Scales and comparisons

• 146,041,689,638,400 seconds is equal to 4,643,673 years, 51 weeks, 4 days, 18 hours, 40 minutes.
• To count from 1 to 146,041,689,638,400 would take you about eleven million, six hundred nine thousand, one hundred eighty-four 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 146041689638400 cubic inches would be around 4388.4 feet tall.

Recreational maths with 146041689638400

• 146041689638400 backwards is 004836986140641
• 146041689638400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146041689638400's digits is 60
• More coming soon!