146132772597561600
146,132,772,597,561,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 146132772597561600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 540 divisors.
146132772597561600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 146132772597561600:
28 × 34 × 52 × 19 × 14836416971
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 19 × 14836416971)See below for interesting mathematical facts about the number 146132772597561600 from the Numbermatics database.
Names of 146132772597561600
- Cardinal: 146132772597561600 can be written as One hundred forty-six quadrillion, one hundred thirty-two trillion, seven hundred seventy-two billion, five hundred ninety-seven million, five hundred sixty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.461327725975616 × 1017
Factors of 146132772597561600
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 14836417000
Divisors of 146132772597561600
- Number of divisors d(n): 540
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 81 90 95 96 100 108 114 120 128 135 144 150 152 160 162 171 180 190 192 200 216 225 228 240 256 270 285 288 300 304 320 324 342 360 380 384 400 405 432 450 456 475 480 513 540 570 576 600 608 640 648 675 684 720 760 768 800 810 855 864 900 912 950 960 1026 1080 1140 1152 1200 1216 1280 1296 1350 1368 1425 1440 1520 1539 1600 1620 1710 1728 1800 1824 1900 1920 2025 2052 2160 2280 2304 2400 2432 2565 2592 2700 2736 2850 2880 3040 3078 3200 3240 3420 3456 3600 3648 3800 3840 4050 4104 4275 4320 4560 4800 4864 5130 5184 5400 5472 5700 5760 6080 6156 6400 6480 6840 6912 7200 7296 7600 7695 8100 8208 8550 8640 9120 9600 10260 10368 10800 10944 11400 11520 12160 12312 12825 12960 13680 14400 14592 15200 15390 16200 16416 17100 17280 18240 19200 20520 20736 21600 21888 22800 24320 24624 25650 25920 27360 28800 30400 30780 32400 32832 34200 34560 36480 38475 41040 43200 43776 45600 49248 51300 51840 54720 57600 60800 61560 64800 65664 68400 72960 76950 82080 86400 91200 98496 102600 103680 109440 121600 123120 129600 131328 136800 153900 164160 172800 182400 196992 205200 218880 246240 259200 273600 307800 328320 364800 393984 410400 492480 518400 547200 615600 656640 820800 984960 1094400 1231200 1641600 1969920 2462400 3283200 4924800 9849600 14836416971 29672833942 44509250913 59345667884 74182084855 89018501826 118691335768 133527752739 148364169710 178037003652 222546254565 237382671536 267055505478 281891922449 296728339420 356074007304 370910424275 400583258217 445092509130 474765343072 534111010956 563783844898 593456678840 667638763695 712148014608 741820848550 801166516434 845675767347 890185018260 949530686144 1068222021912 1112731272825 1127567689796 1186913357680 1201749774651 1335277527390 1409459612245 1424296029216 1483641697100 1602333032868 1691351534694 1780370036520 1899061372288 2002916291085 2136444043824 2225462545650 2255135379592 2373826715360 2403499549302 2537027302041 2670555054780 2818919224490 2848592058432 2967283394200 3204666065736 3338193818475 3382703069388 3560740073040 3798122744576 4005832582170 4228378836735 4272888087648 4450925091300 4510270759184 4747653430720 4806999098604 5074054604082 5341110109560 5637838448980 5697184116864 5934566788400 6008748873255 6409332131472 6676387636950 6765406138776 7047298061225 7121480146080 7611081906123 8011665164340 8456757673470 8545776175296 8901850182600 9020541518368 9495306861440 9613998197208 10014581455425 10148109208164 10682220219120 11275676897960 11394368233728 11869133576800 12017497746510 12685136510205 12818664262944 13352775273900 13530812277552 14094596122450 14242960292160 15222163812246 16023330328680 16913515346940 17091552350592 17803700365200 18041083036736 18990613722880 19227996394416 20029162910850 20296218416328 21141894183675 21364440438240 22551353795920 22833245718369 23738267153600 24034995493020 25370273020410 25637328525888 26705550547800 27061624555104 28189192244900 28485920584320 30043744366275 30444327624492 32046660657360 33827030693880 34183104701184 35607400730400 36082166073472 38055409530615 38455992788832 40058325821700 40592436832656 42283788367350 42728880876480 45102707591840 45666491436738 47476534307200 48069990986040 50740546040820 51274657051776 53411101095600 54123249110208 56378384489800 56971841168640 60087488732550 60888655248984 63425682551025 64093321314720 67654061387760 71214801460800 72164332146944 76110819061230 76911985577664 80116651643400 81184873665312 84567576734700 85457761752960 90205415183680 91332982873476 94953068614400 96139981972080 101481092081640 102549314103552 106822202191200 108246498220416 112756768979600 114166228591845 120174977465100 121777310497968 126851365102050 128186642629440 135308122775520 142429602921600 152221638122460 153823971155328 160233303286800 162369747330624 169135153469400 170915523505920 180410830367360 182665965746952 190277047653075 192279963944160 202962184163280 213644404382400 216492996440832 225513537959200 228332457183690 240349954930200 243554620995936 253702730204100 256373285258880 270616245551040 284859205843200 304443276244920 307647942310656 320466606573600 324739494661248 338270306938800 360821660734720 365331931493904 380554095306150 384559927888320 405924368326560 427288808764800 451027075918400 456664914367380 480699909860400 487109241991872 507405460408200 512746570517760 541232491102080 570831142959225 608886552489840 640933213147200 649478989322496 676540613877600 730663862987808 761108190612300 769119855776640 811848736653120 854577617529600 902054151836800 913329828734760 961399819720800 974218483983744 1014810920816400 1082464982204160 1141662285918450 1217773104979680 1281866426294400 1353081227755200 1461327725975616 1522216381224600 1538239711553280 1623697473306240 1804108303673600 1826659657469520 1922799639441600 1948436967967488 2029621841632800 2283324571836900 2435546209959360 2563732852588800 2706162455510400 2922655451951232 3044432762449200 3247394946612480 3653319314939040 3845599278883200 4059243683265600 4566649143673800 4871092419918720 5412324911020800 5845310903902464 6088865524898400 7306638629878080 7691198557766400 8118487366531200 9133298287347600 9742184839837440 12177731049796800 14613277259756160 16236974733062400 18266596574695200 24355462099593600 29226554519512320 36533193149390400 48710924199187200 73066386298780800 146132772597561600
- Sum of all divisors σ(n): 568757308633353840
- Sum of proper divisors (its aliquot sum) s(n): 422624536035792240
- 146132772597561600 is an abundant number, because the sum of its proper divisors (422624536035792240) is greater than itself. Its abundance is 276491763438230640
Bases of 146132772597561600
- Binary: 10000001110010101011111011100000001011100001111001000000002
- Hexadecimal: 0x2072AFB80B87900
- Base-36: 13YVQSYG7K00
Squares and roots of 146132772597561600
- 146132772597561600 squared (1461327725975616002) is 21354787227050650454590265794560000
- 146132772597561600 cubed (1461327725975616003) is 3120634265719905758388285631461521892942544896000000
-
The
square root of 146132772597561600 is 382273164.8933280799 -
The
cube root of 146132772597561600 is 526723.3137156655
Scales and comparisons
How big is 146132772597561600?- 146,132,772,597,561,600 seconds is equal to 4,646,570,150 years, 13 weeks, 3 days.
-
To count from 1 to 146,132,772,597,561,600 would take you about thirteen billion, nine hundred thirty-nine million, seven hundred ten thousand, four hundred fifty 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 146132772597561600 cubic inches would be around 43893.6 feet tall.
Recreational maths with 146132772597561600
- 146132772597561600 backwards is 006165795277231641
- 146132772597561600 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 146132772597561600's digits is 72
- More coming soon!
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