46428934149312
46,428,934,149,312 is an even composite number composed of seven prime numbers multiplied together.
46428934149312 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 46428934149312:
26 × 3 × 11 × 13 × 412 × 892 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 41 × 41 × 89 × 89 × 127)See below for interesting mathematical facts about the number 46428934149312 from the Numbermatics database.
Names of 46428934149312
- Cardinal: 46428934149312 can be written as Forty-six trillion, four hundred twenty-eight billion, nine hundred thirty-four million, one hundred forty-nine thousand, three hundred twelve.
Scientific notation
- Scientific notation: 4.6428934149312 × 1013
Factors of 46428934149312
Divisors of 46428934149312
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 41 44 48 52 64 66 78 82 88 89 96 104 123 127 132 143 156 164 176 178 192 208 246 254 264 267 286 312 328 352 356 381 416 429 451 492 508 528 533 534 572 624 656 704 712 762 832 858 902 979 984 1016 1056 1066 1068 1144 1157 1248 1312 1353 1397 1424 1524 1599 1651 1681 1716 1804 1958 1968 2032 2112 2132 2136 2288 2314 2496 2624 2706 2794 2848 2937 3048 3198 3302 3362 3432 3471 3608 3649 3916 3936 4064 4191 4264 4272 4576 4628 4953 5043 5207 5412 5588 5696 5863 5874 6096 6396 6604 6724 6864 6942 7216 7298 7832 7872 7921 8128 8382 8528 8544 9152 9256 9906 10086 10414 10824 10947 11176 11303 11726 11748 12192 12727 12792 13208 13448 13728 13884 14432 14596 15621 15664 15842 16764 17056 17088 17589 18161 18491 18512 19812 20172 20828 21648 21853 21894 22352 22606 23452 23496 23763 24384 25454 25584 26416 26896 27456 27768 28864 29192 31242 31328 31684 33528 33909 34112 35178 36322 36982 37024 38181 39624 40139 40344 41656 43296 43706 43788 44704 45212 46904 46992 47437 47526 50908 51168 52832 53792 54483 55473 55536 57277 58384 62484 62656 63368 65559 67056 67691 67818 70356 72644 73964 74048 76362 79248 80278 80688 83312 86592 87131 87412 87576 89408 90424 93808 93984 94874 95052 101816 102336 102973 105664 107584 108966 110946 111072 114554 116768 120417 124333 124968 126736 131118 134112 135382 135636 140712 142311 145288 146939 147928 149609 152724 158496 160556 161376 166624 171831 174262 174824 175152 180848 187616 187968 189748 190104 203073 203632 205946 213487 217932 221892 222144 229108 233536 240383 240834 248666 249936 253472 261393 262236 268224 270764 271272 281424 284622 290576 293878 295856 299218 305448 308919 316992 321112 322752 324761 333248 343662 348524 349648 350304 361696 372999 375232 379496 380208 406146 407264 411892 426974 435864 440817 443784 448827 458216 463423 480766 481668 497332 499872 506944 521807 522786 524472 541528 542544 562848 569244 581152 587756 591712 598436 610896 617838 640461 642224 649522 687324 697048 699296 700608 721149 723392 744601 745998 758992 760416 812292 814528 823784 853948 871728 881634 887568 897654 916432 926846 961532 963336 974283 994664 999744 1005967 1043614 1045572 1048944 1083056 1085088 1125696 1132703 1138488 1162304 1175512 1183424 1196872 1221792 1235676 1280922 1284448 1299044 1374648 1390269 1394096 1398592 1442298 1489202 1491996 1517984 1520832 1565421 1616329 1624584 1645699 1647568 1707896 1743456 1763268 1775136 1795308 1832864 1853692 1923064 1926672 1944917 1948566 1989328 2011934 2087228 2091144 2097888 2166112 2170176 2233803 2265406 2276976 2348357 2351024 2393744 2443584 2471352 2561844 2568896 2598088 2749296 2775331 2780538 2788192 2884596 2978404 2983992 3017901 3035968 3130842 3232658 3249168 3291398 3295136 3398109 3415792 3486912 3526536 3550272 3572371 3590616 3665728 3707384 3846128 3853344 3889834 3897132 3978656 4023868 4174456 4182288 4195776 4221893 4332224 4467606 4530812 4553952 4696714 4702048 4787488 4848987 4937097 4942704 5097653 5123688 5196176 5498592 5550662 5561076 5576384 5769192 5834751 5956808 5967984 6024499 6035802 6261684 6465316 6498336 6582796 6590272 6796218 6831584 7045071 7053072 7144742 7181232 7414768 7692256 7706688 7779668 7794264 7957312 8047736 8325993 8348912 8364576 8443786 8935212 9061624 9107904 9393428 9404096 9574976 9697974 9874194 9885408 10195306 10247376 10392352 10717113 10997184 11065637 11101324 11122152 11538384 11669502 11913616 11935968 12048998 12071604 12523368 12665679 12930632 12996672 13077571 13165592 13315201 13592436 13663168 14090142 14106144 14289484 14362464 14829536 15292959 15384512 15559336 15588528 16095472 16651986 16697824 16729152 16887572 17870424 18073497 18123248 18786856 19000343 19395948 19748388 19770816 20390612 20494752 20784704 21394087 21434226 22131274 22202648 22244304 23076768 23339004 23827232 23871936 24097996 24143208 25046736 25331358 25861264 26155142 26331184 26630402 27184872 28180284 28212288 28578968 28724928 29659072 30528641 30585918 31118672 31177056 32190944 33196911 33303972 33395648 33775144 35740848 36146994 36246496 37573712 38000686 38791896 39232713 39496776 39945603 40781224 40989504 41244647 42788174 42868452 44262548 44405296 44488608 46153536 46440823 46678008 47654464 48195992 48286416 50093472 50662716 51722528 52310284 52662368 53260804 54369744 56360568 57001029 57157936 61057282 61171836 62237344 62354112 64182261 64381888 66269489 66393822 66607944 67550288 71481696 72293988 72492992 75147424 76001372 77583792 78465426 78993552 79891206 81562448 82489294 85576348 85736904 88525096 88810592 88977216 91585923 92881646 93356016 96391984 96572832 100186944 101325432 103445056 104620568 105324736 106521608 108739488 112721136 114002058 114315872 122114564 122343672 123733941 124474688 128364522 132538978 132787644 133215888 135100576 139322469 142963392 143853281 144587976 146467211 150294848 152002744 155167584 156930852 157987104 159782412 163124896 164978588 171152696 171473808 173097613 177050192 177621184 183171846 185763292 186712032 192783968 193145664 198808467 202650864 209003773 209241136 213043216 217478976 225442272 228004116 228631744 244229128 244687344 247004459 247467882 256729044 265077956 265575288 266431776 270201152 278644938 287706562 289175952 292934422 304005488 310335168 313861704 315974208 319564824 326249792 329957176 342305392 342947616 346195226 354100384 366343692 371526584 373424064 385567936 397616934 405301728 418007546 418482272 426086432 431559843 439401633 450884544 453691117 456008232 488458256 489374688 494008918 494935764 513458088 519292839 530155912 531150576 532863552 536180411 557289876 575413124 578351904 585868844 608010976 627011319 627723408 639129648 659914352 684610784 685895232 692390452 708200768 732687384 741013377 743053168 795233868 810603456 836015092 836964544 852172864 863119686 878803266 907382234 912016464 976916512 978749376 988017836 989871528 1026916176 1038585678 1060311824 1062301152 1072360822 1114579752 1150826248 1156703808 1171737688 1216021952 1254022638 1255446816 1278259296 1319828704 1361073351 1369221568 1384780904 1465374768 1482026754 1486106336 1590467736 1608541233 1672030184 1691030527 1726239372 1757606532 1814764468 1824032928 1904073743 1953833024 1976035672 1979743056 2053832352 2077171356 2120623648 2124602304 2144721644 2229159504 2301652496 2343475376 2508045276 2510893632 2556518592 2639657408 2717049049 2722146702 2769561808 2930749536 2964053508 2972212672 3180935472 3217082466 3344060368 3382061054 3452478744 3515213064 3629528936 3648065856 3808147486 3952071344 3959486112 4107664704 4154342712 4241247296 4289443288 4458319008 4603304992 4686950752 5016090552 5073091581 5434098098 5444293404 5539123616 5712221229 5861499072 5897984521 5928107016 6361870944 6434164932 6688120736 6764122108 6904957488 7030426128 7259057872 7616294972 7904142688 7918972224 8151147147 8308685424 8578886576 8916638016 9206609984 9373901504 10032181104 10146183162 10868196196 10888586808 11078247232 11424442458 11795969042 11856214032 12723741888 12868329864 13376241472 13528244216 13809914976 14060852256 14518115744 15232589944 15808285376 16302294294 16617370848 17157773152 17693953563 18601335797 20064362208 20292366324 21736392392 21777173616 21983396851 22848884916 23591938084 23712428064 25736659728 27056488432 27619829952 28121704512 29036231488 30465179888 32604588588 33234741696 34315546304 35387907126 37202671594 40128724416 40584732648 43472784784 43554347232 43966793702 45697769832 47183876168 47424856128 51473319456 54112976864 55804007391 60930359776 65209177176 65950190553 70775814252 74405343188 81169465296 86945569568 87108694464 87933587404 91395539664 94367752336 102946638912 108225953728 111608014782 121860719552 130418354352 131900381106 141551628504 148810686376 162338930592 173891139136 175867174808 182791079328 188735504672 223216029564 241817365361 260836708704 263800762212 283103257008 297621372752 324677861184 351734349616 365582158656 377471009344 446432059128 483634730722 521673417408 527601524424 566206514016 595242745504 703468699232 725452096083 892864118256 967269461444 1055203048848 1132413028032 1190485491008 1406937398464 1450904192166 1785728236512 1934538922888 2110406097696 2901808384332 3571456473024 3869077845776 4220812195392 5803616768664 7738155691552 11607233537328 15476311383104 23214467074656 46428934149312
- Sum of all divisors σ(n): 150783900266496
- Sum of proper divisors (its aliquot sum) s(n): 104354966117184
- 46428934149312 is an abundant number, because the sum of its proper divisors (104354966117184) is greater than itself. Its abundance is 57926031967872
Bases of 46428934149312
- Binary: 10101000111010000101000010000010010100110000002
- Hexadecimal: 0x2A3A142094C0
- Base-36: GGH5OMSAO
Squares and roots of 46428934149312
- 46428934149312 squared (464289341493122) is 2155645926241150009110073344
- 46428934149312 cubed (464289341493123) is 100084342758683026395989584183978567139328
-
The
square root of 46428934149312 is 6813878.0550661457 -
The
cube root of 46428934149312 is 35941.5032891049
Scales and comparisons
How big is 46428934149312?- 46,428,934,149,312 seconds is equal to 1,476,296 years, 25 weeks, 4 days, 35 minutes, 12 seconds.
-
To count from 1 to 46,428,934,149,312 would take you about three million, six hundred ninety thousand, seven hundred forty-one 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 46428934149312 cubic inches would be around 2995.1 feet tall.
Recreational maths with 46428934149312
- 46428934149312 backwards is 21394143982464
- The number of decimal digits it has is: 14
- The sum of 46428934149312's digits is 60
- More coming soon!
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The information we have on file for 46428934149312 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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