13742004919686400
13,742,004,919,686,400 is an even composite number composed of five prime numbers multiplied together.
13742004919686400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13742004919686400:
28 × 52 × 73 × 193 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 19 × 19 × 19 × 97 × 97 × 97)See below for interesting mathematical facts about the number 13742004919686400 from the Numbermatics database.
Names of 13742004919686400
- Cardinal: 13742004919686400 can be written as Thirteen quadrillion, seven hundred forty-two trillion, four billion, nine hundred nineteen million, six hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.37420049196864 × 1016
Factors of 13742004919686400
Divisors of 13742004919686400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 49 50 56 64 70 76 80 95 97 98 100 112 128 133 140 152 160 175 190 194 196 200 224 245 256 266 280 304 320 343 350 361 380 388 392 400 448 475 485 490 532 560 608 640 665 679 686 700 722 760 776 784 800 896 931 950 970 980 1064 1120 1216 1225 1280 1330 1358 1372 1400 1444 1520 1552 1568 1600 1715 1792 1805 1843 1862 1900 1940 1960 2128 2240 2425 2432 2450 2527 2660 2716 2744 2800 2888 3040 3104 3136 3200 3325 3395 3430 3610 3686 3724 3800 3880 3920 4256 4480 4655 4753 4850 4864 4900 5054 5320 5432 5488 5600 5776 6080 6208 6272 6400 6517 6650 6790 6859 6860 7220 7372 7448 7600 7760 7840 8512 8575 8960 9025 9215 9310 9409 9506 9700 9800 10108 10640 10864 10976 11200 11552 12160 12416 12544 12635 12901 13034 13300 13580 13718 13720 14440 14744 14896 15200 15520 15680 16975 17024 17150 17689 18050 18430 18620 18818 19012 19400 19600 20216 21280 21728 21952 22400 23104 23275 23765 24320 24832 25270 25802 26068 26600 27160 27436 27440 28880 29488 29792 30400 31040 31360 32585 33271 33950 34048 34295 34300 35017 35378 36100 36860 37240 37636 38024 38800 39200 40432 42560 43456 43904 44800 46075 46208 46550 47045 47530 48013 50540 51604 52136 53200 54320 54872 54880 57760 58976 59584 60800 62080 62720 63175 64505 65170 65863 66542 67900 68590 68600 70034 70756 72200 73720 74480 75272 76048 77600 78400 80864 85120 86912 87808 88445 90307 92150 92416 93100 94090 95060 96026 101080 103208 104272 106400 108640 109744 109760 115520 117952 118825 119168 121600 123823 124160 126350 129010 130340 131726 133084 135800 137180 137200 140068 141512 144400 147440 148960 150544 152096 155200 156800 161728 162925 166355 170240 171475 173824 175085 176890 178771 180614 184300 186200 188180 190120 192052 202160 206416 208544 212800 217280 219488 219520 231040 235225 235904 237650 238336 240065 245119 247646 252700 258020 260680 263452 266168 271600 274360 274400 280136 283024 288800 294880 297920 301088 304192 310400 313600 322525 323456 325850 329315 332710 336091 342950 350170 353780 357542 361228 368600 372400 376360 380240 384104 404320 412832 417088 425600 434560 438976 439040 442225 451535 461041 462080 470450 471808 475300 480130 490238 495292 505400 516040 521360 526904 532336 543200 548720 548800 560272 566048 577600 589760 595840 602176 608384 619115 620800 632149 645050 646912 651700 658630 665323 665420 672182 685900 700340 707560 715084 722456 737200 744800 752720 760480 768208 808640 825664 831775 834176 851200 869120 875425 877952 884450 893855 903070 912673 922082 940900 950600 960260 980476 990584 1010800 1032080 1042720 1053808 1064672 1086400 1097440 1097600 1120544 1132096 1155200 1179520 1191680 1200325 1204352 1216768 1225595 1238230 1251397 1264298 1290100 1303400 1317260 1330646 1330840 1344364 1371800 1400680 1415120 1430168 1444912 1474400 1489600 1505440 1520960 1536416 1617280 1646575 1651328 1663550 1668352 1680455 1715833 1750850 1755904 1768900 1787710 1806140 1825346 1844164 1881800 1901200 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226019817758 230632467100 233010121400 237915597640 250400964280 250437471200 252982417520 258308363152 263579962400 266297281600 271903540160 286214252800 289122762880 292103409920 295209557888 297394497050 298252955392 306741181243 313001205350 316228021900 322885453940 339879425200 350561349992 354175384528 361403453600 365129262400 369011947360 372816194240 380664956224 388433628800 392438099200 400641542848 400699953920 403606817425 404771868032 413032518400 421727939840 438201687490 442719230660 452039635516 461264934200 466020242800 475831195280 500801928560 500874942400 505964835040 516616726304 527159924800 532594563200 543807080320 553399038325 565049544395 578245525760 590419115776 594788994100 613482362486 626002410700 632456043800 645770907880 679758850400 701122699984 708350769056 722806907200 730258524800 738023894720 745632388480 761329912448 776867257600 801283085696 807213634850 809543736064 876403374980 885438461320 904079271032 922529868400 932040485600 951662390560 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5166167263040 5438070803200 5608981599872 5650495443950 5666806152448 6134823624860 6457709078800 7011226999840 7083507690560 7232634168256 7380238947200 7456323884800 7613299124480 7668529531075 8012830856960 8588753074804 8764033749800 8854384613200 9040792710320 9516623905600 9815717799776 10016038571200 10119296700800 10332334526080 10735941343505 11217963199744 11300990887900 12269647249720 12915418157600 14022453999680 14167015381120 14465268336512 14760477894400 15337059062150 17177506149608 17528067499600 17708769226400 18081585420640 19033247811200 19631435599552 20032077142400 20238593401600 20664669052160 21471882687010 22601981775800 24539294499440 25830836315200 28044907999360 28334030762240 28930536673024 30674118124300 34355012299216 35056134999200 35417538452800 36163170841280 38066495622400 39262871199104 40064154284800 42943765374020 45203963551600 49078588998880 51661672630400 53679706717525 56089815998720 61348236248600 68710024598432 70112269998400 70835076905600 72326341682560 78525742398208 85887530748040 90407927103200 98157177997760 103323345260800 107359413435050 122696472497200 137420049196864 140224539996800 141670153811200 144652683365120 171775061496080 180815854206400 196314355995520 214718826870100 245392944994400 274840098393728 280449079993600 343550122992160 361631708412800 392628711991040 429437653740200 490785889988800 549680196787456 687100245984320 723263416825600 858875307480400 981571779977600 1374200491968640 1717750614960800 1963143559955200 2748400983937280 3435501229921600 6871002459843200 13742004919686400
- Sum of all divisors σ(n): 42305501788480000
- Sum of proper divisors (its aliquot sum) s(n): 28563496868793600
- 13742004919686400 is an abundant number, because the sum of its proper divisors (28563496868793600) is greater than itself. Its abundance is 14821491949107200
Bases of 13742004919686400
- Binary: 1100001101001001000111110110011011110101010101000000002
- Hexadecimal: 0x30D247D9BD5500
- Base-36: 3RB4TWP4MPS
Squares and roots of 13742004919686400
- 13742004919686400 squared (137420049196864002) is 188842699212685220914274344960000
- 13742004919686400 cubed (137420049196864003) is 2595077301627579361742146861391380768620544000000
-
The
square root of 13742004919686400 is 117226297.9014794273 -
The
cube root of 13742004919686400 is 239524.5501697539
Scales and comparisons
How big is 13742004919686400?- 13,742,004,919,686,400 seconds is equal to 436,953,249 years, 32 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,742,004,919,686,400 would take you about one billion, three hundred ten million, eight hundred fifty-nine thousand, seven hundred forty-eight 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 13742004919686400 cubic inches would be around 19960.4 feet tall.
Recreational maths with 13742004919686400
- 13742004919686400 backwards is 00468691940024731
- 13742004919686400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13742004919686400's digits is 64
- More coming soon!
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"Number 13742004919686400 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 13742004919686400 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/13742004919686400/
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The information we have on file for 13742004919686400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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