146228956372000
146,228,956,372,000 is an even composite number composed of five prime numbers multiplied together.
146228956372000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 146228956372000:
25 × 53 × 172 × 37 × 434
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 17 × 37 × 43 × 43 × 43 × 43)See below for interesting mathematical facts about the number 146228956372000 from the Numbermatics database.
Names of 146228956372000
- Cardinal: 146228956372000 can be written as One hundred forty-six trillion, two hundred twenty-eight billion, nine hundred fifty-six million, three hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.46228956372 × 1014
Factors of 146228956372000
Divisors of 146228956372000
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 37 40 43 50 68 74 80 85 86 100 125 136 148 160 170 172 185 200 215 250 272 289 296 340 344 370 400 425 430 500 544 578 592 629 680 688 731 740 800 850 860 925 1000 1075 1156 1184 1258 1360 1376 1445 1462 1480 1591 1700 1720 1849 1850 2000 2125 2150 2312 2516 2720 2890 2924 2960 3145 3182 3400 3440 3655 3698 3700 4000 4250 4300 4624 4625 5032 5375 5780 5848 5920 6290 6364 6800 6880 7225 7310 7396 7400 7955 8500 8600 9245 9248 9250 10064 10693 10750 11560 11696 12427 12580 12728 13600 14450 14620 14792 14800 15725 15910 17000 17200 18275 18490 18500 20128 21386 21500 23120 23392 24854 25160 25456 27047 28900 29240 29584 29600 31433 31450 31820 34000 34400 36125 36550 36980 37000 39775 42772 43000 46225 46240 49708 50320 50912 53465 54094 57800 58480 59168 62135 62866 62900 63640 68000 68413 72250 73100 73960 74000 78625 79507 79550 85544 86000 91375 92450 99416 100640 106930 108188 115600 116960 124270 125732 125800 127280 135235 136826 144500 146200 147920 148000 157165 157250 159014 159100 171088 172000 182750 184900 198832 198875 213860 216376 231125 231200 248540 251464 251600 254560 267325 270470 273652 289000 292400 295840 310675 314330 314500 318028 318200 342065 342176 365500 369800 397535 397664 397750 427720 432752 459799 462250 497080 502928 503200 534361 534650 540940 547304 578000 584800 621350 628660 629000 636056 636400 676175 684130 731000 739600 785825 795070 795500 855440 865504 919598 924500 994160 1005856 1068722 1069300 1081880 1094608 1156000 1163021 1242700 1257320 1258000 1272112 1272800 1336625 1351619 1352350 1368260 1462000 1479200 1553375 1571650 1590140 1591000 1710325 1710880 1839196 1849000 1987675 1988320 2137444 2138600 2163760 2189216 2298995 2326042 2485400 2514640 2516000 2544224 2671805 2673250 2703238 2704700 2736520 2924000 2941759 3106750 3143300 3180280 3182000 3380875 3418801 3420650 3678392 3698000 3929125 3975350 4274888 4277200 4327520 4597990 4652084 4970800 5029280 5343610 5346500 5406476 5409400 5473040 5815105 5883518 6213500 6286600 6360560 6364000 6758095 6761750 6837602 6841300 7356784 7396000 7858250 7950700 8549776 8551625 8554400 9195980 9304168 9938375 9941600 10687220 10693000 10812952 10818800 10946080 11494975 11630210 11767036 12427000 12573200 12721120 13359025 13516190 13523500 13675204 13682600 14708795 14713568 15716500 15901400 17094005 17099552 17103250 18391960 18608336 19771357 19876750 21374440 21386000 21625904 21637600 22977523 22989950 23260420 23534072 24854000 25146400 26718050 27032380 27047000 27350408 27365200 29075525 29417590 31433000 31802800 33790475 34188010 34206500 36783920 37216672 39542714 39753500 42748880 42772000 43251808 45955046 45979900 46520840 47068144 49708000 50009903 53436100 54064760 54094000 54700816 54730400 57474875 58119617 58151050 58835180 62866000 63605600 66795125 67580950 68376020 68413000 73543975 73567840 79085428 79507000 85470025 85497760 91910092 91959800 93041680 94136288 98856785 100019806 106872200 108129520 108188000 109401632 114887615 114949750 116239234 116302100 117670360 125732000 126495637 133590250 135161900 136752040 136826000 145377625 147087950 158170856 159014000 168952375 170940050 183820184 183919600 186083360 197713570 200039612 213744400 216259040 229775230 229899500 232478468 232604200 235340720 250049515 252991274 267180500 270323800 273504080 273652000 290598085 290755250 294175900 316341712 318028000 337904750 341880100 367640368 367719875 367839200 395427140 400079224 427350125 427488800 459550460 459799000 464956936 465208400 470681440 494283925 500099030 505982548 534361000 540647600 547008160 574438075 581196170 581510500 588351800 632478185 632683424 675809500 683760200 735280736 735439750 790854280 800158448 850168351 854700250 919100920 919598000 929913872 930416800 988033489 988567850 1000198060 1011965096 1068722000 1081295200 1148876150 1162392340 1163021000 1176703600 1250247575 1264956370 1351619000 1367520400 1452990425 1470879500 1581708560 1600316896 1700336702 1709400500 1838201840 1839196000 1859827744 1976066978 1977135700 2000396120 2023930192 2137444000 2150425829 2297752300 2324784680 2326042000 2353407200 2471419625 2500495150 2529912740 2703238000 2735040800 2872190375 2905980850 2941759000 3162390925 3163417120 3400673404 3418801000 3676403680 3952133956 3954271400 4000792240 4047860384 4250841755 4300851658 4595504600 4649569360 4652084000 4940167445 4942839250 5000990300 5059825480 5406476000 5744380750 5811961700 5883518000 6251237875 6324781850 6801346808 6837602000 7264952125 7904267912 7908542800 8001584480 8501683510 8601703316 9191009200 9299138720 9880334890 9885678500 10001980600 10119650960 10752129145 11488761500 11623923400 11767036000 12502475750 12649563700 13602693616 13675204000 14529904250 15808535824 15811954625 15817085600 17003367020 17203406632 18382018400 19760669780 19771357000 20003961200 20239301920 21254208775 21504258290 22977523000 23247846800 24700837225 25004951500 25299127400 27205387232 29059808500 31617071648 31623909250 34006734040 34406813264 36557239093 39521339560 39542714000 40007922400 42508417550 43008516580 45955046000 46495693600 49401674450 50009903000 50598254800 53760645725 58119617000 63247818500 68013468080 68813626528 73114478186 79042679120 79085428000 85016835100 86017033160 91910092000 98803348900 100019806000 101196509600 106271043875 107521291450 116239234000 123504186125 126495637000 136026936160 146228956372 158085358240 170033670200 172034066320 182786195465 197606697800 200039612000 212542087750 215042582900 232478468000 247008372250 252991274000 268803228625 292457912744 340067340400 344068132640 365572390930 395213395600 425084175500 430085165800 494016744500 505982548000 537606457250 584915825488 680134680800 731144781860 790426791200 850168351000 860170331600 913930977325 988033489000 1075212914500 1169831650976 1462289563720 1700336702000 1720340663200 1827861954650 1976066978000 2150425829000 2924579127440 3400673404000 3655723909300 3952133956000 4300851658000 4569654886625 5849158254880 7311447818600 8601703316000 9139309773250 14622895637200 18278619546500 29245791274400 36557239093000 73114478186000 146228956372000
- Sum of all divisors σ(n): 401310113343048
- Sum of proper divisors (its aliquot sum) s(n): 255081156971048
- 146228956372000 is an abundant number, because the sum of its proper divisors (255081156971048) is greater than itself. Its abundance is 108852200599048
Bases of 146228956372000
- Binary: 1000010011111110100101010000000000011100001000002
- Hexadecimal: 0x84FE95001C20
- Base-36: 1FU0NL3QXS
Squares and roots of 146228956372000
- 146228956372000 squared (1462289563720002) is 21382907681644279402384000000
- 146228956372000 cubed (1462289563720003) is 3126800274485664997954588168790848000000000
-
The
square root of 146228956372000 is 12092516.5442103077 -
The
cube root of 146228956372000 is 52683.8850484863
Scales and comparisons
How big is 146228956372000?- 146,228,956,372,000 seconds is equal to 4,649,628 years, 25 weeks, 5 days, 19 hours, 46 minutes, 40 seconds.
-
To count from 1 to 146,228,956,372,000 would take you about eleven million, six hundred twenty-four thousand and seventy-one 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 146228956372000 cubic inches would be around 4390.3 feet tall.
Recreational maths with 146228956372000
- 146228956372000 backwards is 000273659822641
- The number of decimal digits it has is: 15
- The sum of 146228956372000's digits is 55
- More coming soon!
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