134157071942400
134,157,071,942,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 134157071942400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
134157071942400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 134157071942400:
28 × 3 × 52 × 13 × 172 × 732 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 17 × 17 × 73 × 73 × 349)See below for interesting mathematical facts about the number 134157071942400 from the Numbermatics database.
Names of 134157071942400
- Cardinal: 134157071942400 can be written as One hundred thirty-four trillion, one hundred fifty-seven billion, seventy-one million, nine hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.341570719424 × 1014
Factors of 134157071942400
Divisors of 134157071942400
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 73 75 78 80 85 96 100 102 104 120 128 130 136 146 150 156 160 170 192 195 200 204 208 219 221 240 255 256 260 272 289 292 300 312 320 325 340 349 365 384 390 400 408 416 425 438 442 480 510 520 544 578 584 600 624 640 650 663 680 698 730 768 780 800 816 832 850 867 876 884 949 960 975 1020 1040 1047 1088 1095 1105 1156 1168 1200 1241 1248 1275 1280 1300 1326 1360 1396 1445 1460 1560 1600 1632 1664 1700 1734 1745 1752 1768 1825 1898 1920 1950 2040 2080 2094 2176 2190 2210 2312 2336 2400 2482 2496 2550 2600 2652 2720 2792 2847 2890 2920 3120 3200 3264 3315 3328 3400 3468 3490 3504 3536 3650 3723 3757 3796 3840 3900 4080 4160 4188 4335 4352 4380 4420 4537 4624 4672 4745 4800 4964 4992 5100 5200 5235 5304 5329 5440 5475 5525 5584 5694 5780 5840 5933 6205 6240 6400 6528 6630 6800 6936 6980 7008 7072 7225 7300 7446 7514 7592 7800 8160 8320 8376 8670 8725 8760 8840 9074 9248 9344 9490 9600 9928 9984 10200 10400 10470 10608 10658 10880 10950 11050 11168 11271 11388 11560 11680 11866 12410 12480 13056 13260 13600 13611 13872 13960 14016 14144 14235 14450 14600 14892 15028 15184 15600 15987 16133 16320 16575 16640 16752 17340 17450 17520 17680 17799 18148 18496 18615 18688 18785 18980 19200 19856 20400 20800 20940 21097 21216 21316 21675 21760 21900 22100 22336 22542 22685 22776 23120 23360 23725 23732 24820 24960 25477 26175 26520 26645 27200 27222 27744 27920 28032 28288 28470 28900 29200 29665 29784 30056 30368 31025 31200 31974 32266 32640 33150 33504 34680 34900 35040 35360 35598 36296 36992 37230 37570 37960 39712 40800 41600 41880 42194 42432 42632 43350 43800 44200 44672 45084 45370 45552 46240 46720 47450 47464 48399 49640 49920 50954 52350 53040 53290 54400 54444 55488 55840 56064 56355 56576 56940 57800 58400 59330 59568 60112 60736 62050 62400 63291 63948 64532 65280 66300 67008 68055 69277 69360 69800 70080 70720 71175 71196 72592 73984 74460 75140 75920 76431 77129 79424 79935 80665 81600 83200 83760 84388 84864 85264 86700 87600 88400 88995 89344 90168 90593 90740 91104 92480 93075 93440 93925 94900 94928 96798 99280 100861 101908 104700 105485 106080 106580 108800 108888 110976 111680 112710 113425 113880 115600 116800 118660 119136 120224 121472 124100 124800 126582 127385 127896 129064 132600 133225 134016 136110 138554 138720 139600 140160 141440 142350 142392 145184 148325 148920 150280 151840 152862 154258 158848 159870 161330 163200 167520 168776 169728 170528 173400 175200 176800 177990 180336 181186 181480 182208 184960 186150 187850 189800 189856 193596 198560 201722 203816 207831 209400 210970 212160 213160 217776 221952 223360 225420 226850 227760 231200 231387 233600 237320 238272 240448 241995 242944 248200 249600 253164 254770 255792 258128 265200 266450 268032 271779 272220 274261 277108 277440 279200 280320 281775 282880 284700 284784 290368 296650 297840 300560 302583 303680 305724 308516 316455 317696 319740 322660 326400 331201 335040 337552 340275 341056 346385 346800 350400 353600 355980 360672 362372 362960 364416 369920 372300 375700 379600 379712 382155 385645 387192 397120 399675 403325 403444 407632 415662 418800 421940 424320 426320 433109 435552 444975 446720 450840 452965 453700 455520 462400 462774 467200 474640 476544 480896 483990 496400 504305 506328 509540 511584 516256 527425 530400 532900 543558 544440 548522 554216 554880 558400 563550 569400 569568 580736 593300 595680 601120 605166 607360 611448 617032 632910 636925 639480 645320 662402 670080 675104 680550 682112 692770 693600 700800 707200 711960 721344 724744 725920 728832 744600 751400 759200 759424 764310 771290 774384 794240 799350 806650 806888 815264 822783 831324 837600 843880 848640 852640 866218 871104 889950 901680 905930 907400 911040 924800 925548 949280 953088 961792 967980 992800 993603 1008610 1012656 1019080 1023168 1032512 1039155 1054850 1060800 1065800 1087116 1088880 1097044 1108432 1109760 1116800 1127100 1138800 1139136 1156935 1161472 1177709 1186600 1191360 1202240 1209975 1210332 1214720 1222896 1234064 1265820 1273850 1278960 1290640 1299327 1311193 1324804 1340160 1350208 1358895 1361100 1364224 1371305 1385540 1387200 1401600 1414400 1423920 1442688 1449488 1451840 1489200 1502800 1512915 1518400 1518848 1528620 1540081 1542580 1548768 1582275 1588480 1598700 1613300 1613776 1630528 1645566 1656005 1662648 1675200 1687760 1705280 1731925 1732436 1742208 1779900 1803360 1811860 1814800 1822080 1849600 1851096 1859821 1898560 1910775 1928225 1935960 1985600 1987206 2017220 2025312 2038160 2046336 2065024 2078310 2109700 2121600 2131600 2165545 2174232 2177760 2194088 2216864 2233600 2254200 2264825 2277600 2278272 2313870 2355418 2373200 2382720 2404480 2419950 2420664 2445792 2468128 2521525 2531640 2547700 2557920 2581280 2598654 2622386 2649608 2700416 2717790 2722200 2742610 2771080 2774400 2847840 2885376 2898976 2903680 2978400 3005600 3025830 3036800 3057240 3080162 3085160 3097536 3164550 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49362560 49680150 50632800 51158400 51625600 51973080 52447720 52658112 52992160 53204736 54355800 54852200 55421600 55437952 55794630 56304170 56530032 56956800 57979520 58885450 58902824 59235072 59514272 60063159 60516600 61144800 61603240 61703200 61950720 62937264 63233914 63590592 64551040 64966350 65559650 65822640 66240200 66505920 67510400 67565004 69297440 69575424 70210816 70662540 72134400 72474400 72533019 73628530 73923888 74043840 74392840 75373376 77004050 77438400 77461248 78671580 79488240 80084212 80688800 81012480 81526400 82278300 83132400 83156928 83916352 84456255 84787456 86621800 86969280 87110400 87763520 88328175 88354236 88674560 89271408 90086672 92404860 92554800 92991050 94216720 94850871 95717089 96710692 96826560 97831680 98339475 98565184 98725120 99360300 100105265 101265600 102316800 103251200 103946160 104895440 105316224 105984320 108711600 109704400 110442795 110843200 110875904 111589260 112608340 113060064 113913600 115506075 115959040 117770900 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720693376 725330190 736285300 739238880 740438400 743928400 753733760 758806968 765736712 773685536 786715800 790423925 794882400 800842120 822040882 831569280 839163520 844562550 869692800 877635200 883542360 892714080 900866720 904480512 924048600 942167200 942445184 948508710 957170890 961010544 967106920 968265600 985651840 1001052650 1006996224 1011742624 1039461600 1048954400 1053162240 1059843200 1074976538 1081040064 1104427950 1115892600 1126083400 1130600640 1148605068 1160528304 1178056480 1182782208 1190285440 1201263180 1208883650 1232064800 1233061323 1258745280 1264678280 1271811840 1281347392 1316452800 1330118400 1351300080 1385948800 1413250800 1413667776 1428342528 1435756335 1441386752 1450660380 1472570600 1478477760 1480876800 1487856800 1501578975 1507467520 1517613936 1531473424 1547371072 1573431600 1580847850 1589764800 1601684240 1612464807 1644081764 1663138560 1678327040 1689125100 1739385600 1755270400 1767084720 1785428160 1801733440 1813325475 1848097200 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82204088200 83848169964 85998123040 91888405440 92842264320 96101054400 98644905840 101174262400 103197747648 104810212455 105221232896 107497653800 108104006400 111797559952 114860506800 116052830400 121409114880 122517873920 123306132300 128134739200 128997184560 131526541120 137596996864 139746949940 141366777600 151761393600 153147342400 154737107200 157831849344 161246480700 164408176400 167696339928 171996246080 174683687425 183776810880 192202108800 197289811680 202348524800 206395495296 209620424910 214995307600 223595119904 229721013600 232105660800 246612264600 257994369120 263053082240 279493899880 303522787200 306294684800 315663698688 322492961400 328816352800 335392679856 343992492160 349367374850 367553621760 384404217600 394579623360 412790990592 419240849820 429990615200 447190239808 459442027200 464211321600 493224529200 515988738240 524051062275 526106164480 558987799760 607045574400 612589369600 644985922800 657632705600 670785359712 687984984320 698734749700 789159246720 838481699640 859981230400 894380479616 918884054400 986449058400 1031977476480 1048102124550 1117975599520 1289971845600 1315265411200 1341570719424 1397469499400 1578318493440 1676963399280 1719962460800 1788760959232 1837768108800 1972898116800 2063954952960 2096204249100 2235951199040 2579943691200 2630530822400 2683141438848 2794938998800 3353926798560 3439924921600 3945796233600 4192408498200 4471902398080 5159887382400 5366282877696 5589877997600 6707853597120 7891592467200 8384816996400 8943804796160 10319774764800 11179755995200 13415707194240 16769633992800 22359511990400 26831414388480 33539267985600 44719023980800 67078535971200 134157071942400
- Sum of all divisors σ(n): 515005667475600
- Sum of proper divisors (its aliquot sum) s(n): 380848595533200
- 134157071942400 is an abundant number, because the sum of its proper divisors (380848595533200) is greater than itself. Its abundance is 246691523590800
Bases of 134157071942400
- Binary: 111101000000011111000001001111000000011000000002
- Hexadecimal: 0x7A03E09E0300
- Base-36: 1BJYWOSUTC
Squares and roots of 134157071942400
- 134157071942400 squared (1341570719424002) is 17998119952158289308917760000
- 134157071942400 cubed (1341570719424003) is 2414575073249644464968992706205057024000000
-
The
square root of 134157071942400 is 11582619.3903797081 -
The
cube root of 134157071942400 is 51192.2860212731
Scales and comparisons
How big is 134157071942400?- 134,157,071,942,400 seconds is equal to 4,265,779 years, 47 weeks, 3 days, 5 hours, 20 minutes.
-
To count from 1 to 134,157,071,942,400 would take you about ten million, six hundred sixty-four thousand, four hundred forty-nine 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 134157071942400 cubic inches would be around 4266 feet tall.
Recreational maths with 134157071942400
- 134157071942400 backwards is 004249170751431
- 134157071942400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 134157071942400's digits is 48
- More coming soon!
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"Number 134157071942400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 134157071942400 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/134157071942400/
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The information we have on file for 134157071942400 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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