14440400076003720
14,440,400,076,003,720 is an even composite number composed of seven prime numbers multiplied together.
14440400076003720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 14440400076003720:
23 × 3 × 5 × 7 × 132 × 59 × 1724095123
(2 × 2 × 2 × 3 × 5 × 7 × 13 × 13 × 59 × 1724095123)See below for interesting mathematical facts about the number 14440400076003720 from the Numbermatics database.
Names of 14440400076003720
- Cardinal: 14440400076003720 can be written as Fourteen quadrillion, four hundred forty trillion, four hundred billion, seventy-six million, three thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.444040007600372 × 1016
Factors of 14440400076003720
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 1724095212
Divisors of 14440400076003720
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 59 60 65 70 78 84 91 104 105 118 120 130 140 156 168 169 177 182 195 210 236 260 273 280 295 312 338 354 364 390 413 420 455 472 507 520 546 590 676 708 728 767 780 826 840 845 885 910 1014 1092 1180 1183 1239 1352 1365 1416 1534 1560 1652 1690 1770 1820 2028 2065 2184 2301 2360 2366 2478 2535 2730 3068 3304 3380 3540 3549 3640 3835 4056 4130 4602 4732 4956 5070 5369 5460 5915 6136 6195 6760 7080 7098 7670 8260 9204 9464 9912 9971 10140 10738 10920 11505 11830 12390 14196 15340 16107 16520 17745 18408 19942 20280 21476 23010 23660 24780 26845 28392 29913 30680 32214 35490 39884 42952 46020 47320 49560 49855 53690 59826 64428 69797 70980 79768 80535 92040 99710 107380 119652 128856 139594 141960 149565 161070 199420 209391 214760 239304 279188 299130 322140 348985 398840 418782 558376 598260 644280 697970 837564 1046955 1196520 1395940 1675128 2093910 2791880 4187820 8375640 1724095123 3448190246 5172285369 6896380492 8620475615 10344570738 12068665861 13792760984 17240951230 20689141476 22413236599 24137331722 25861426845 34481902460 36205997583 41378282952 44826473198 48274663444 51722853690 60343329305 67239709797 68963804920 72411995166 89652946396 96549326888 101721612257 103445707380 112066182995 120686658610 134479419594 144823990332 156892656193 179305892792 181029987915 203443224514 206891414760 224132365990 241373317220 268958839188 289647980664 291372075787 305164836771 313785312386 336198548985 362059975830 406886449028 448264731980 470677968579 482746634440 508608061285 537917678376 582744151574 610329673542 627570624772 672397097970 712051285799 724119951660 784463280965 813772898056 874116227361 896529463960 941355937158 1017216122570 1165488303148 1220659347084 1255141249544 1322380959341 1344794195940 1424102571598 1448239903320 1456860378935 1525824183855 1568926561930 1748232454722 1882711874316 2034432245140 2039604530509 2136153857397 2330976606296 2353389842895 2441318694168 2644761918682 2689588391880 2848205143196 2913720757870 3051648367710 3137853123860 3496464909444 3560256428995 3765423748632 3967142878023 4068864490280 4079209061018 4272307714794 4370581136805 4706779685790 5289523837364 5696410286392 5827441515740 6103296735420 6118813591527 6275706247720 6611904796705 6992929818888 7120512857990 7934285756046 8158418122036 8544615429588 8741162273610 9256666715387 9413559371580 10198022652545 10579047674728 10680769286985 11654883031480 12206593470840 12237627183054 13223809593410 14241025715980 15868571512092 16316836244072 17089230859176 17190952471433 17482324547220 18513333430774 18827118743160 19835714390115 20396045305090 21361538573970 24475254366108 26447619186820 27770000146161 28482051431960 30594067957635 31737143024184 34381904942866 34964649094440 37026666861548 39671428780230 40792090610180 42723077147940 46283333576935 48950508732216 51572857414299 52895238373640 55540000292322 61188135915270 68763809885732 74053333723096 79342857560460 81584181220360 85446154295880 85954762357165 92566667153870 103145714828598 111080000584644 120336667300031 122376271830540 137527619771464 138850000730805 158685715120920 171909524714330 185133334307740 206291429657196 222160001169288 240673334600062 244752543661080 257864287071495 277700001461610 343819049428660 361010001900093 370266668615480 412582859314392 481346669200124 515728574142990 555400002923220 601683336500155 687638098857320 722020003800186 962693338400248 1031457148285980 1110800005846440 1203366673000310 1444040007600372 1805050009500465 2062914296571960 2406733346000620 2888080015200744 3610100019000930 4813466692001240 7220200038001860 14440400076003720
- Sum of all divisors σ(n): 54520025649177600
- Sum of proper divisors (its aliquot sum) s(n): 40079625573173880
- 14440400076003720 is an abundant number, because the sum of its proper divisors (40079625573173880) is greater than itself. Its abundance is 25639225497170160
Bases of 14440400076003720
- Binary: 1100110100110101110111101001001111000111011001100010002
- Hexadecimal: 0x334D77A4F1D988
- Base-36: 3Y6P07P664O
Squares and roots of 14440400076003720
- 14440400076003720 squared (144404000760037202) is 208525154355048242352565453838400
- 14440400076003720 cubed (144404000760037203) is 3011186654797326083425853377864557395206678848000
-
The
square root of 14440400076003720 is 120168215.7477746693 -
The
cube root of 14440400076003720 is 243515.3872163855
Scales and comparisons
How big is 14440400076003720?- 14,440,400,076,003,720 seconds is equal to 459,160,055 years, 16 weeks, 6 days, 22 hours, 22 minutes.
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To count from 1 to 14,440,400,076,003,720 would take you about one billion, three hundred seventy-seven million, four hundred eighty thousand, one hundred sixty-five 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 14440400076003720 cubic inches would be around 20292.9 feet tall.
Recreational maths with 14440400076003720
- 14440400076003720 backwards is 02730067000404441
- 14440400076003720 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 14440400076003720's digits is 42
- More coming soon!
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