138089249654116752
138,089,249,654,116,752 is an even composite number composed of six prime numbers multiplied together.
What does the number 138089249654116752 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1350 divisors.
138089249654116752 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 138089249654116752:
24 × 34 × 17 × 372 × 712 × 9532
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 17 × 37 × 37 × 71 × 71 × 953 × 953)See below for interesting mathematical facts about the number 138089249654116752 from the Numbermatics database.
Names of 138089249654116752
- Cardinal: 138089249654116752 can be written as One hundred thirty-eight quadrillion, eighty-nine trillion, two hundred forty-nine billion, six hundred fifty-four million, one hundred sixteen thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.38089249654116752 × 1017
Factors of 138089249654116752
Divisors of 138089249654116752
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 37 48 51 54 68 71 72 74 81 102 108 111 136 142 144 148 153 162 204 213 216 222 272 284 296 306 324 333 408 426 432 444 459 568 592 612 629 639 648 666 816 852 888 918 953 999 1136 1207 1224 1258 1278 1296 1332 1369 1377 1704 1776 1836 1887 1906 1917 1998 2414 2448 2516 2556 2627 2664 2738 2754 2859 2997 3408 3621 3672 3774 3812 3834 3996 4107 4828 5032 5041 5112 5254 5328 5476 5508 5661 5718 5751 5994 7242 7344 7548 7624 7668 7881 7992 8214 8577 9656 10064 10082 10224 10508 10863 10952 11016 11322 11436 11502 11988 12321 14484 15096 15123 15248 15336 15762 15984 16201 16428 16983 17154 19312 20164 21016 21726 21904 22032 22644 22872 23004 23273 23643 23976 24642 25731 28968 30192 30246 30672 31524 32402 32589 32856 33966 34308 35261 36963 40328 42032 43452 44659 45288 45369 45744 46008 46546 47286 47952 48603 49284 50949 51462 57936 60492 63048 64804 65178 65712 67663 67932 68616 69819 70522 70929 73926 77193 80656 85697 86904 89318 90576 90738 92016 93092 94572 97199 97206 97767 98568 101898 102924 105783 110889 120984 126096 129608 130356 133977 135326 135864 136107 137232 139638 141044 141858 145809 147852 154386 171394 173808 178636 181476 186184 186517 189144 194398 194412 195534 197136 202989 203796 205848 209457 211566 212787 221778 241968 257091 259216 260712 267954 270652 271728 272214 279276 282088 283716 291597 291618 295704 308772 317349 342788 357272 362952 372368 373034 378288 388796 388824 391068 401931 405978 407592 408321 411696 418914 423132 425574 437427 443556 514182 521424 535908 541304 544428 558552 559551 564176 567432 583194 583236 591408 599437 608967 617544 628371 634698 685576 714544 725904 746068 771273 777592 777648 782136 803862 811956 815184 816642 837828 846264 851148 874791 874854 887112 908209 952047 1028364 1071816 1082608 1088856 1117104 1119102 1134864 1150271 1166388 1166472 1198874 1205793 1217934 1235088 1256742 1269396 1304657 1312281 1371152 1492136 1542546 1555184 1564272 1607724 1623912 1633284 1652383 1675656 1678653 1692528 1702296 1749582 1749708 1774224 1798311 1816418 1826901 1885113 1904094 2056728 2143632 2177712 2238204 2300542 2313819 2332776 2332944 2397748 2411586 2435868 2503531 2513484 2538792 2609314 2624373 2624562 2724627 2856141 2984272 3085092 3170789 3215448 3247824 3266568 3304766 3351312 3357306 3404592 3450813 3499164 3499416 3596622 3617379 3632836 3653802 3770226 3808188 3913971 4113456 4476408 4601084 4627638 4665552 4795496 4804073 4823172 4871736 4957149 5007062 5026968 5035959 5077584 5218628 5248746 5249124 5394933 5449254 5480703 5712282 6170184 6341578 6430896 6533136 6609532 6714612 6901129 6901626 6941457 6998328 6998832 7193244 7234758 7265672 7307604 7510593 7540452 7616376 7827942 7873119 8173881 8952816 9202168 9255276 9512367 9590992 9608146 9646344 9743472 9914298 10014124 10053936 10071918 10352439 10437256 10497492 10498248 10789866 10898508 10961406 11424564 11741913 12340368 12683156 13219064 13429224 13802258 13803252 13882914 13996656 14386488 14412219 14469516 14531344 14615208 14871447 15021186 15080904 15107877 15232752 15439553 15655884 15746238 16184799 16347762 18404336 18510552 19024734 19216292 19292688 19828596 20028248 20143836 20703387 20704878 20874512 20994984 20996496 21579732 21797016 21922812 22179169 22531779 22849128 23483826 24521643 25366312 26438128 26858448 27604516 27606504 27765828 28537101 28772976 28824438 28939032 29230416 29742894 30042372 30161808 30215754 30879106 31057317 31311768 31492476 32369598 32695524 33603733 35225739 37021104 38049468 38432584 39657192 40056496 40287672 41406774 41409756 41989968 42560027 43159464 43236657 43594032 43845624 44358338 44614341 45063558 45698256 46318659 46967652 48554397 49043286 50732624 55209032 55213008 55531656 57074202 57648876 57878064 59485788 60084744 60431508 61758212 62110161 62114634 62623536 62984952 64482839 64739196 65391048 66537507 67207466 67595337 70451478 73564929 76098936 76865168 79314384 80575344 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25217174882052 25917651962109 26282689313688 27012764016846 27393225481872 27442219724586 28601750135484 33622899842736 34556869282812 36017018689128 36224881860996 36589626299448 37606004807766 38135666847312 40519146025269 46075825710416 48299842481328 50141339743688 50434349764104 51835303924218 52565378627376 54025528033692 54884439449172 56409007211649 57203500270968 69113738565624 72034037378256 72449763721992 73179252598896 75212009615532 77752955886327 81038292050538 100282679487376 100868699528208 103670607848436 106550346955337 108051056067384 109768878898344 112818014423298 114407000541936 121557438075807 138227477131248 144899527443984 150424019231064 155505911772654 162076584101076 169227021634947 207341215696872 213100693910674 216102112134768 219537757796688 225636028846596 233258867658981 243114876151614 300848038462128 311011823545308 319651040866011 324153168202152 338454043269894 414682431393744 426201387821348 451272057693192 466517735317962 486229752303228 507681064904841 622023647090616 639302081732022 648306336404304 676908086539788 852402775642696 902544115386384 933035470635924 958953122598033 972459504606456 1015362129809682 1244047294181232 1278604163464044 1353816173079576 1704805551285392 1866070941271848 1917906245196066 1944919009212912 2030724259619364 2557208326928088 2707632346159152 2876859367794099 3732141882543696 3835812490392132 4061448519238728 5114416653856176 5753718735588198 7671624980784264 8122897038477456 8630578103382297 11507437471176396 15343249961568528 17261156206764594 23014874942352792 34522312413529188 46029749884705584 69044624827058376 138089249654116752
- Sum of all divisors σ(n): 441602183856389094
- Sum of proper divisors (its aliquot sum) s(n): 303512934202272342
- 138089249654116752 is an abundant number, because the sum of its proper divisors (303512934202272342) is greater than itself. Its abundance is 165423684548155590
Bases of 138089249654116752
- Binary: 1111010101001011101110000111000001110111100010001100100002
- Hexadecimal: 0x1EA9770E0EF1190
- Base-36: 11ROJXJ1AH00
Squares and roots of 138089249654116752
- 138089249654116752 squared (1380892496541167522) is 19068640870036983511867221247029504
- 138089249654116752 cubed (1380892496541167523) is 2633174309667231086342172944379287905574824804651008
-
The
square root of 138089249654116752 is 371603619.0002954639 -
The
cube root of 138089249654116752 is 516876.3048297801
Scales and comparisons
How big is 138089249654116752?- 138,089,249,654,116,752 seconds is equal to 4,390,811,000 years, 47 weeks, 1 day, 1 hour, 19 minutes, 12 seconds.
-
To count from 1 to 138,089,249,654,116,752 would take you about thirteen billion, one hundred seventy-two million, four hundred thirty-three thousand and two 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 138089249654116752 cubic inches would be around 43073 feet tall.
Recreational maths with 138089249654116752
- 138089249654116752 backwards is 257611456942980831
- 138089249654116752 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138089249654116752's digits is 81
- More coming soon!
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MLA style:
"Number 138089249654116752 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 138089249654116752 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/138089249654116752/
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The information we have on file for 138089249654116752 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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