137426365440
137,426,365,440 is an even composite number composed of six prime numbers multiplied together.
137426365440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 137426365440:
210 × 32 × 5 × 7 × 132 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 13 × 2521)See below for interesting mathematical facts about the number 137426365440 from the Numbermatics database.
Names of 137426365440
- Cardinal: 137426365440 can be written as One hundred thirty-seven billion, four hundred twenty-six million, three hundred sixty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3742636544 × 1011
Factors of 137426365440
Divisors of 137426365440
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 128 130 140 144 156 160 168 169 180 182 192 195 208 210 224 234 240 252 256 260 273 280 288 312 315 320 336 338 360 364 384 390 416 420 448 455 468 480 504 507 512 520 546 560 576 585 624 630 640 672 676 720 728 768 780 819 832 840 845 896 910 936 960 1008 1014 1024 1040 1092 1120 1152 1170 1183 1248 1260 1280 1344 1352 1365 1440 1456 1521 1536 1560 1638 1664 1680 1690 1792 1820 1872 1920 2016 2028 2080 2184 2240 2304 2340 2366 2496 2520 2521 2535 2560 2688 2704 2730 2880 2912 3042 3072 3120 3276 3328 3360 3380 3549 3584 3640 3744 3840 4032 4056 4095 4160 4368 4480 4608 4680 4732 4992 5040 5042 5070 5120 5376 5408 5460 5760 5824 5915 6084 6240 6552 6656 6720 6760 7098 7168 7280 7488 7563 7605 7680 8064 8112 8190 8320 8736 8960 9216 9360 9464 9984 10080 10084 10140 10647 10752 10816 10920 11520 11648 11830 12168 12480 12605 13104 13312 13440 13520 14196 14560 14976 15126 15210 15360 16128 16224 16380 16640 17472 17647 17745 17920 18720 18928 19968 20160 20168 20280 21294 21504 21632 21840 22689 23040 23296 23660 24336 24960 25210 26208 26880 27040 28392 29120 29952 30252 30420 32256 32448 32760 32773 33280 34944 35294 35490 35840 37440 37815 37856 39936 40320 40336 40560 42588 43264 43680 45378 46080 46592 47320 48672 49920 50420 52416 52941 53235 53760 54080 56784 58240 59904 60504 60840 64512 64896 65520 65546 66560 69888 70588 70980 74880 75630 75712 80640 80672 81120 85176 86528 87360 88235 90756 93184 94640 97344 98319 99840 100840 104832 105882 106470 107520 108160 113445 113568 116480 119808 121008 121680 129792 131040 131092 139776 141176 141960 149760 151260 151424 158823 161280 161344 162240 163865 170352 173056 174720 176470 181512 189280 194688 196638 199680 201680 209664 211764 212940 216320 226890 227136 229411 232960 242016 243360 259584 262080 262184 264705 279552 282352 283920 294957 299520 302520 302848 317646 322560 322688 324480 327730 340704 349440 352940 363024 378560 389376 393276 403360 419328 423528 425880 426049 432640 453780 454272 458822 465920 484032 486720 491595 519168 524160 524368 529410 564704 567840 589914 599040 605040 605696 635292 645376 648960 655460 681408 688233 698880 705880 726048 757120 778752 786552 794115 806720 838656 847056 851760 852098 865280 907560 908544 917644 968064 973440 983190 1048320 1048736 1058820 1129408 1135680 1147055 1179828 1210080 1211392 1270584 1278147 1290752 1297920 1310920 1362816 1376466 1397760 1411760 1452096 1474785 1514240 1557504 1573104 1588230 1613440 1694112 1703520 1704196 1815120 1817088 1835288 1936128 1946880 1966380 2064699 2096640 2097472 2117640 2130245 2258816 2271360 2294110 2359656 2420160 2541168 2556294 2581504 2595840 2621840 2725632 2752932 2823520 2904192 2949570 2982343 3028480 3146208 3176460 3226880 3388224 3407040 3408392 3441165 3630240 3634176 3670576 3834441 3872256 3893760 3932760 4129398 4193280 4194944 4235280 4260490 4517632 4542720 4588220 4719312 4840320 5082336 5112588 5243680 5451264 5505864 5647040 5808384 5899140 5964686 6056960 6292416 6352920 6390735 6453760 6776448 6814080 6816784 6882330 7260480 7341152 7668882 7744512 7787520 7865520 8258796 8389888 8470560 8520980 8947029 9035264 9085440 9176440 9438624 9680640 10164672 10225176 10323495 10487360 10902528 11011728 11294080 11616768 11798280 11929372 12584832 12705840 12781470 12907520 13552896 13628160 13633568 13764660 14520960 14682304 14911715 15337764 15731040 16517592 16779776 16941120 17041960 17894058 18070528 18170880 18352880 18877248 19172205 19361280 20329344 20450352 20646990 20974720 22023456 22588160 23233536 23596560 23858744 25169664 25411680 25562940 26841087 27105792 27256320 27267136 27529320 29041920 29364608 29823430 30675528 31462080 33035184 33559552 33882240 34083920 35788116 36705760 37754496 38344410 38722560 40658688 40900704 41293980 41949440 44046912 44735145 45176320 47193120 47717488 50339328 50823360 51125880 53682174 54211584 54512640 54534272 55058640 58083840 58729216 59646860 61351056 62924160 66070368 67764480 68167840 71576232 73411520 75508992 76688820 81317376 81801408 82587960 83898880 88093824 89470290 90352640 94386240 95434976 100678656 101646720 102251760 107364348 109068544 110117280 116167680 117458432 119293720 122702112 125848320 132140736 134205435 135528960 136335680 143152464 146823040 151017984 153377640 162634752 163602816 165175920 167797760 176187648 178940580 188772480 190869952 203293440 204503520 214728696 218137088 220234560 234916864 238587440 245404224 251696640 264281472 268410870 271057920 272671360 286304928 293646080 302035968 306755280 327205632 330351840 352375296 357881160 377544960 381739904 406586880 409007040 429457392 436274176 440469120 477174880 490808448 503393280 528562944 536821740 545342720 572609856 587292160 613510560 654411264 660703680 704750592 715762320 755089920 763479808 813173760 818014080 858914784 880938240 954349760 981616896 1057125888 1073643480 1090685440 1145219712 1174584320 1227021120 1308822528 1321407360 1431524640 1510179840 1526959616 1636028160 1717829568 1761876480 1908699520 1963233792 2114251776 2147286960 2181370880 2290439424 2454042240 2642814720 2863049280 3053919232 3272056320 3435659136 3523752960 3817399040 3926467584 4294573920 4580878848 4908084480 5285629440 5726098560 6544112640 6871318272 7634798080 8589147840 9161757696 9816168960 10571258880 11452197120 13742636544 15269596160 17178295680 19632337920 22904394240 27485273088 34356591360 45808788480 68713182720 137426365440
- Sum of all divisors σ(n): 589520082528
- Sum of proper divisors (its aliquot sum) s(n): 452093717088
- 137426365440 is an abundant number, because the sum of its proper divisors (452093717088) is greater than itself. Its abundance is 314667351648
Bases of 137426365440
- Binary: 11111111111110011111111101100000000002
- Hexadecimal: 0x1FFF3FEC00
- Base-36: 1R4S3Y80
Squares and roots of 137426365440
- 137426365440 squared (1374263654402) is 18886005918048426393600
- 137426365440 cubed (1374263654403) is 2595435150995725737183814877184000
-
The
square root of 137426365440 is 370710.6222378853 -
The
cube root of 137426365440 is 5160.4790613449
Scales and comparisons
How big is 137426365440?- 137,426,365,440 seconds is equal to 4,369 years, 38 weeks, 22 hours, 24 minutes.
-
To count from 1 to 137,426,365,440 would take you about eight thousand, seven hundred thirty-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 137426365440 cubic inches would be around 430 feet tall.
Recreational maths with 137426365440
- 137426365440 backwards is 044563624731
- 137426365440 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137426365440's digits is 45
- More coming soon!
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The information we have on file for 137426365440 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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