34428937962496
34,428,937,962,496 is an even composite number composed of seven prime numbers multiplied together.
34428937962496 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 34428937962496:
210 × 7 × 112 × 31 × 43 × 97 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 31 × 43 × 97 × 307)See below for interesting mathematical facts about the number 34428937962496 from the Numbermatics database.
Names of 34428937962496
- Cardinal: 34428937962496 can be written as Thirty-four trillion, four hundred twenty-eight billion, nine hundred thirty-seven million, nine hundred sixty-two thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 3.4428937962496 × 1013
Factors of 34428937962496
Divisors of 34428937962496
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 31 32 43 44 56 62 64 77 86 88 97 112 121 124 128 154 172 176 194 217 224 242 248 256 301 307 308 341 344 352 388 434 448 473 484 496 512 602 614 616 679 682 688 704 776 847 868 896 946 968 992 1024 1067 1204 1228 1232 1333 1358 1364 1376 1408 1552 1694 1736 1792 1892 1936 1984 2134 2149 2387 2408 2456 2464 2666 2716 2728 2752 2816 3007 3104 3311 3377 3388 3472 3584 3751 3784 3872 3968 4171 4268 4298 4774 4816 4912 4928 5203 5332 5432 5456 5504 5632 6014 6208 6622 6754 6776 6944 7168 7469 7502 7568 7744 7936 8342 8536 8596 9331 9517 9548 9632 9824 9856 10406 10664 10864 10912 11008 11264 11737 12028 12416 13201 13244 13508 13552 13888 14663 14938 15004 15136 15488 15872 16684 17072 17192 18662 19034 19096 19264 19648 19712 20812 21049 21328 21728 21824 22016 23474 23639 24056 24832 26257 26402 26488 27016 27104 27776 29197 29326 29779 29876 30008 30272 30976 31744 33077 33368 34144 34384 36421 37147 37324 38068 38192 38528 39296 39424 41624 42098 42656 43456 43648 44032 45881 46948 47278 48112 49664 52514 52804 52976 54032 54208 55552 58394 58652 59558 59752 60016 60544 61952 66154 66619 66736 68288 68768 72842 74294 74648 76136 76384 77056 78592 78848 82159 83248 84196 85312 86912 87296 91762 92407 93896 94556 96224 99328 102641 104687 105028 105608 105952 108064 108416 111104 116788 117304 119116 119504 120032 121088 123904 129301 132308 133238 133472 136576 137536 145211 145684 148588 149296 152272 152768 154112 157184 161293 164318 166496 168392 170624 173824 174592 183524 184814 187792 189112 192448 205282 208453 209374 210056 211216 211904 216128 216832 222208 231539 233576 234608 238232 239008 240064 242176 258602 260029 264616 266476 266944 273152 275072 290422 291368 297176 298592 304544 305536 308224 314368 321167 322586 327569 328636 332992 336784 341248 347648 349184 363847 367048 369628 375584 378224 384896 409231 410564 416906 418748 420112 422432 423808 432256 433664 463078 467152 469216 476464 478016 480128 484352 504691 517204 520058 529232 532952 533888 546304 550144 580844 582736 594352 597184 609088 611072 642334 645172 655138 657272 665984 673568 682496 695296 727694 732809 734096 739256 751168 756448 769792 818462 821128 833812 837496 840224 844864 847616 864512 867328 905107 923149 926156 934304 938432 952928 956032 960256 1009382 1016477 1034408 1040116 1058464 1065904 1067776 1092608 1100288 1129051 1151557 1161688 1165472 1188704 1194368 1218176 1222144 1280497 1284668 1290344 1310276 1314544 1331968 1347136 1364992 1422311 1455388 1465618 1468192 1478512 1502336 1512896 1539584 1597321 1636924 1642256 1667624 1674992 1680448 1689728 1695232 1729024 1810214 1846298 1852312 1868608 1876864 1905856 1912064 1920512 2018764 2032954 2068816 2080232 2116928 2131808 2135552 2200576 2258102 2292983 2303114 2323376 2330944 2377408 2388736 2436352 2444288 2546929 2560994 2569336 2580688 2620552 2629088 2663936 2694272 2844622 2864617 2910776 2931236 2936384 2957024 3004672 3025792 3079168 3194642 3273848 3284512 3335248 3349984 3360896 3379456 3390464 3458048 3532837 3603259 3620428 3692596 3704624 3737216 3753728 3811712 3824128 3841024 4037528 4065908 4137632 4160464 4233856 4263616 4271104 4501541 4516204 4585966 4606228 4646752 4661888 4754816 4777472 4872704 5093858 5121988 5138672 5161376 5241104 5258176 5327872 5388544 5689244 5729234 5821552 5862472 5872768 5914048 6009344 6051584 6389284 6462043 6547696 6569024 6670496 6699968 6721792 6758912 7065674 7206518 7240856 7385192 7409248 7474432 7507456 7623424 7648256 8060899 8075056 8131816 8275264 8320928 8467712 8527232 8963479 9003082 9032408 9171932 9212456 9293504 9323776 9509632 9554944 9745408 9956177 10154639 10187716 10243976 10277344 10322752 10482208 10516352 10777088 11181247 11378488 11458468 11643104 11724944 11745536 11828096 12018688 12103168 12778568 12924086 13095392 13138048 13340992 13399936 13443584 13517824 14085467 14131348 14413036 14481712 14770384 14818496 14948864 15014912 15246848 15645421 16121798 16150112 16263632 16550528 16641856 16935424 17054464 17926958 18006164 18064816 18343864 18424912 18587008 18647552 19019264 19912354 20309278 20375432 20487952 20554688 20645504 20964416 21032704 21554176 22362494 22756976 22916936 23286208 23449888 23491072 23656192 24206336 25222813 25557136 25848172 26190784 26276096 26681984 26799872 26887168 28170934 28262696 28826072 28963424 29540768 29636992 29897728 30493696 31290842 31510787 32243596 32300224 32527264 33101056 33283712 33870848 34108928 35853916 36012328 36129632 36687728 36849824 37174016 37295104 38038528 39695407 39824708 40618556 40750864 40975904 41109376 41291008 41928832 42065408 44724988 45513952 45833872 46572416 46899776 46982144 47312384 49516951 50445626 51114272 51696344 52381568 52552192 53363968 53599744 56341868 56525392 57652144 57926848 59081536 59273984 62581684 63021574 64487192 64600448 65054528 66202112 66567424 68217856 71082473 71707832 72024656 72259264 73375456 73699648 74348032 79390814 79649416 81237112 81501728 81951808 82218752 82582016 83857664 84130816 89449976 91027904 91667744 93144832 93799552 94624768 98598269 99033902 100891252 102228544 103392688 104763136 105104384 106727936 107199488 109517947 111701029 112683736 113050784 115304288 115853696 118163072 118547968 125163368 126043148 128974384 129200896 130109056 132404224 133134848 142164946 143415664 144049312 144518528 146750912 147399296 148696064 154940137 158781628 159298832 162474224 163003456 163903616 164437504 165164032 167715328 178899952 182055808 183335488 186289664 187599104 197196538 198067804 201782504 204457088 206785376 209526272 213455872 219035894 223402058 225367472 226101568 230608576 231707392 236326144 237095936 250326736 252086296 257948768 258401792 260218112 266269696 277867849 284329892 286831328 288098624 289037056 293501824 294798592 309880274 317563256 318597664 324948448 326006912 327807232 328875008 335430656 346618657 357799904 364111616 366670976 372579328 375198208 394393076 396135608 403565008 408914176 413570752 419052544 436649477 438071788 446804116 450734944 452203136 461217152 463414784 472652288 500653472 504172592 515897536 516803584 520436224 555735698 568659784 573662656 576197248 578074112 587003648 589597184 619760548 635126512 637195328 649896896 652013824 655614464 693237314 715599808 728223232 733341952 750396416 781907203 788786152 792271216 807130016 817828352 827141504 873298954 876143576 893608232 901469888 904406272 922434304 926829568 945304576 1001306944 1008345184 1031795072 1040872448 1084580959 1111471396 1137319568 1147325312 1152394496 1156148224 1174007296 1179194368 1239521096 1270253024 1274390656 1299793792 1304027648 1311228928 1386474628 1431199616 1456446464 1466683904 1563814406 1577572304 1584542432 1614260032 1635656704 1654283008 1746597908 1752287152 1787216464 1802939776 1808812544 1844868608 2002613888 2016690368 2063590144 2169161918 2222942792 2274639136 2294650624 2304788992 2348014592 2479042192 2540506048 2548781312 2599587584 2608055296 2772949256 2862399232 2933367808 3056546339 3127628812 3155144608 3169084864 3228520064 3308566016 3493195816 3504574304 3574432928 3605879552 3617625088 3689737216 4005227776 4033380736 4127180288 4338323836 4445885584 4549278272 4589301248 4609577984 4803144247 4958084384 5081012096 5097562624 5199175168 5545898512 5724798464 6113092678 6255257624 6310289216 6338169728 6457040128 6617132032 6986391632 7009148608 7148865856 7211759104 8010455552 8066761472 8254360576 8676647672 8891771168 9098556544 9178602496 9606288494 9916168768 10162024192 10195125248 10398350336 11091797024 11449596928 12226185356 12510515248 12620578432 12676339456 12914080256 13972783264 14018297216 14297731712 14423518208 16020911104 16133522944 17353295344 17783542336 18197113088 19212576988 19832337536 20324048384 22183594048 24452370712 25021030496 25241156864 25352678912 25828160512 27945566528 28036594432 28595463424 32267045888 33622009729 34706590688 35567084672 36394226176 38425153976 39664675072 40648096768 44367188096 48904741424 50042060992 50482313728 50705357824 55891133056 56073188864 57190926848 67244019458 69413181376 71134169344 72788452352 76850307952 79329350144 88734376192 97809482848 100084121984 100964627456 111782266112 112146377728 114381853696 134488038916 138826362752 142268338688 153700615904 158658700288 177468752384 195618965696 200168243968 223564532224 268976077832 277652725504 284536677376 307401231808 354937504768 391237931392 400336487936 447129064448 537952155664 555305451008 614802463616 782475862784 800672975872 1075904311328 1110610902016 1229604927232 1564951725568 2151808622656 2459209854464 3129903451136 4303617245312 4918419708928 8607234490624 17214468981248 34428937962496
- Sum of all divisors σ(n): 92563318808576
- Sum of proper divisors (its aliquot sum) s(n): 58134380846080
- 34428937962496 is an abundant number, because the sum of its proper divisors (58134380846080) is greater than itself. Its abundance is 23705442883584
Bases of 34428937962496
- Binary: 1111101010000000111001001111000000100000000002
- Hexadecimal: 0x1F501C9E0400
- Base-36: C7CFOQFB4
Squares and roots of 34428937962496
- 34428937962496 squared (344289379624962) is 1185351769225398219902550016
- 34428937962496 cubed (344289379624963) is 40810402526396110585305925703537772199936
-
The
square root of 34428937962496 is 5867617.7416815421 -
The
cube root of 34428937962496 is 32531.7836483971
Scales and comparisons
How big is 34428937962496?- 34,428,937,962,496 seconds is equal to 1,094,733 years, 38 weeks, 6 hours, 28 minutes, 16 seconds.
-
To count from 1 to 34,428,937,962,496 would take you about two million, seven hundred thirty-six thousand, eight hundred thirty-four 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 34428937962496 cubic inches would be around 2711 feet tall.
Recreational maths with 34428937962496
- 34428937962496 backwards is 69426973982443
- The number of decimal digits it has is: 14
- The sum of 34428937962496's digits is 76
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 34428937962496 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 34428937962496 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/34428937962496/
Chicago style:
Numbermatics. 2024. "Number 34428937962496 - Facts about the integer". https://numbermatics.com/n/34428937962496/
The information we have on file for 34428937962496 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!
Keywords: Divisors of 34428937962496, math, Factors of 34428937962496, curriculum, school, college, exams, university, Prime factorization of 34428937962496, STEM, science, technology, engineering, physics, economics, calculator, thirty-four trillion, four hundred twenty-eight billion, nine hundred thirty-seven million, nine hundred sixty-two thousand, four hundred ninety-six.