34380082988877312
34,380,082,988,877,312 is an even composite number composed of five prime numbers multiplied together.
34380082988877312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 34380082988877312:
29 × 33 × 173 × 1492 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 17 × 17 × 149 × 149 × 151 × 151)See below for interesting mathematical facts about the number 34380082988877312 from the Numbermatics database.
Names of 34380082988877312
- Cardinal: 34380082988877312 can be written as Thirty-four quadrillion, three hundred eighty trillion, eighty-two billion, nine hundred eighty-eight million, eight hundred seventy-seven thousand, three hundred twelve.
Scientific notation
- Scientific notation: 3.4380082988877312 × 1016
Factors of 34380082988877312
Divisors of 34380082988877312
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 149 151 153 192 204 216 256 272 288 289 298 302 306 384 408 432 447 453 459 512 544 576 578 596 604 612 768 816 864 867 894 906 918 1088 1152 1156 1192 1208 1224 1341 1359 1536 1632 1728 1734 1788 1812 1836 2176 2304 2312 2384 2416 2448 2533 2567 2601 2682 2718 3264 3456 3468 3576 3624 3672 4023 4077 4352 4608 4624 4768 4832 4896 4913 5066 5134 5202 5364 5436 6528 6912 6936 7152 7248 7344 7599 7701 7803 8046 8154 8704 9248 9536 9664 9792 9826 10132 10268 10404 10728 10872 13056 13824 13872 14304 14496 14688 14739 15198 15402 15606 16092 16308 18496 19072 19328 19584 19652 20264 20536 20808 21456 21744 22201 22499 22797 22801 23103 26112 27744 28608 28992 29376 29478 30396 30804 31212 32184 32616 36992 38144 38656 39168 39304 40528 41072 41616 42912 43061 43488 43639 44217 44402 44998 45594 45602 46206 55488 57216 57984 58752 58956 60792 61608 62424 64368 65232 66603 67497 68391 68403 69309 73984 76288 77312 78336 78608 81056 82144 83232 85824 86122 86976 87278 88434 88804 89996 91188 91204 92412 110976 114432 115968 117504 117912 121584 123216 124848 128736 129183 130464 130917 132651 133206 134994 136782 136806 138618 147968 157216 162112 164288 166464 171648 172244 173952 174556 176868 177608 179992 182376 182408 184824 199809 202491 205209 221952 228864 231936 235008 235824 243168 246432 249696 257472 258366 260928 261834 265302 266412 269988 273564 273612 277236 314432 324224 328576 332928 343296 344488 347904 349112 353736 355216 359984 364752 364816 369648 377417 382483 387549 387617 392751 399618 404982 410418 443904 471648 486336 492864 499392 514944 516732 521856 523668 530604 532824 539976 547128 547224 554472 599427 607473 615627 628864 648448 657152 665856 686592 688976 695808 698224 707472 710432 719968 729504 729632 732037 739296 741863 754834 764966 775098 775234 785502 799236 809964 820836 943296 972672 985728 998784 1029888 1033464 1043712 1047336 1061208 1065648 1079952 1094256 1094448 1108944 1132251 1147449 1162647 1162851 1178253 1198854 1214946 1231254 1257728 1296896 1314304 1331712 1377952 1396448 1414944 1420864 1439936 1459008 1459264 1464074 1478592 1483726 1509668 1529932 1550196 1550468 1571004 1598472 1619928 1641672 1886592 1945344 1971456 1997568 2059776 2066928 2087424 2094672 2122416 2131296 2159904 2188512 2188896 2196111 2217888 2225589 2264502 2294898 2325294 2325702 2356506 2397708 2429892 2462508 2515456 2755904 2792896 2829888 2841728 2879872 2918016 2918528 2928148 2957184 2967452 3019336 3059864 3100392 3100936 3142008 3196944 3239856 3283344 3352351 3396753 3397349 3442347 3488553 3773184 3890688 3942912 3995136 4133856 4189344 4244832 4262592 4319808 4377024 4377792 4392222 4435776 4451178 4529004 4589796 4650588 4651404 4713012 4795416 4859784 4925016 5511808 5585792 5659776 5683456 5759744 5836032 5837056 5856296 5914368 5934904 6038672 6119728 6200784 6201872 6284016 6393888 6416089 6479712 6502211 6566688 6588333 6589489 6676767 6704702 6793506 6794698 6884694 6977106 7546368 8267712 8378688 8489664 8525184 8639616 8754048 8755584 8784444 8871552 8902356 9058008 9179592 9301176 9302808 9426024 9590832 9719568 9850032 10057053 10190259 10192047 10327041 10465659 11023616 11171584 11319552 11366912 11519488 11672064 11674112 11712592 11828736 11869808 12077344 12239456 12401568 12403744 12568032 12787776 12832178 12959424 13004422 13133376 13176666 13178978 13353534 13409404 13587012 13589396 13769388 13954212 16535424 16757376 16979328 17050368 17279232 17508096 17511168 17568888 17743104 17804712 18116016 18359184 18602352 18605616 18852048 19181664 19248267 19439136 19506633 19700064 19764999 19768467 20030301 20114106 20380518 20384094 20654082 20931318 22047232 22343168 22639104 23425184 23739616 24154688 24478912 24803136 24807488 25136064 25575552 25664356 25918848 26008844 26266752 26353332 26357956 26707068 26818808 27174024 27178792 27538776 27908424 30171159 30576141 33070848 33514752 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2203004164352 2232183027456 2262145215744 2332592644608 2340691924624 2371694466672 2403529291728 2478379684896 2486985169913 2633278415202 3162259288896 3204705722304 3304506246528 3348274541184 3393217823616 3498888966912 3511037886936 3557541700008 3605293937592 3717569527344 3949917622803 4216345718528 4272940963072 4406008328704 4464366054912 4524290431488 4681383849248 4743388933344 4807058583456 4956759369792 4973970339826 5266556830404 6324518577792 6409411444608 6609012493056 6696549082368 6786435647232 6997777933824 7022075773872 7115083400016 7210587875184 7435139054688 7460955509739 7899835245606 8432691437056 8545881926144 9362767698496 9486777866688 9614117166912 9913518739584 9947940679652 10533113660808 12649037155584 12818822889216 13218024986112 13393098164736 13572871294464 14044151547744 14230166800032 14421175750368 14870278109376 14921911019478 15799670491212 18725535396992 18973555733376 19228234333824 19827037479168 19895881359304 21066227321616 22382866529217 25298074311168 25637645778432 28088303095488 28460333600064 28842351500736 29740556218752 29843822038956 31599340982424 37451070793984 37947111466752 38456468667648 39654074958336 39791762718608 42132454643232 44765733058434 56176606190976 56920667200128 57684703001472 59481112437504 59687644077912 63198681964848 67148599587651 74902141587968 75894222933504 76912937335296 79583525437216 84264909286464 89531466116868 112353212381952 113841334400256 115369406002944 118962224875008 119375288155824 126397363929696 134297199175302 159167050874432 168529818572928 179062932233736 224706424763904 227682668800512 230738812005888 238750576311648 252794727859392 268594398350604 318334101748864 337059637145856 358125864467472 477501152623296 505589455718784 537188796701208 636668203497728 674119274291712 716251728934944 955002305246592 1011178911437568 1074377593402416 1273336406995456 1432503457869888 1910004610493184 2022357822875136 2148755186804832 2865006915739776 3820009220986368 4297510373609664 5730013831479552 8595020747219328 11460027662959104 17190041494438656 34380082988877312
- Sum of all divisors σ(n): 109582837894807200
- Sum of proper divisors (its aliquot sum) s(n): 75202754905929888
- 34380082988877312 is an abundant number, because the sum of its proper divisors (75202754905929888) is greater than itself. Its abundance is 40822671917052576
Bases of 34380082988877312
- Binary: 11110100010010010000000110110011110011010000110000000002
- Hexadecimal: 0x7A2480D9E68600
- Base-36: 9EIQ03451C0
Squares and roots of 34380082988877312
- 34380082988877312 squared (343800829888773122) is 1181990106322091126877506188345344
- 34380082988877312 cubed (343800829888773123) is 40636917947385410503904746476499643832517502435328
-
The
square root of 34380082988877312 is 185418669.4722980477 -
The
cube root of 34380082988877312 is 325163.8873274817
Scales and comparisons
How big is 34380082988877312?- 34,380,082,988,877,312 seconds is equal to 1,093,180,294 years, 24 weeks, 2 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 34,380,082,988,877,312 would take you about three billion, two hundred seventy-nine million, five hundred forty thousand, eight hundred eighty-three 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 34380082988877312 cubic inches would be around 27097 feet tall.
Recreational maths with 34380082988877312
- 34380082988877312 backwards is 21377888928008343
- The number of decimal digits it has is: 17
- The sum of 34380082988877312's digits is 81
- More coming soon!
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"Number 34380082988877312 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 34380082988877312 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/34380082988877312/
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The information we have on file for 34380082988877312 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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