137132528746752

Names of 137132528746752

• Cardinal: 137132528746752 can be written as One hundred thirty-seven trillion, one hundred thirty-two billion, five hundred twenty-eight million, seven hundred forty-six thousand, seven hundred fifty-two.

Scientific notation

• Scientific notation: 1.37132528746752 × 10¹⁴

Factors of 137132528746752

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 6090

Divisors of 137132528746752

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 64 66 72 77 84 88 96 98 99 108 112 126 128 132 144 147 154 168 176 189 192 196 198 216 224 231 252 256 264 288 294 297 308 336 352 378 384 392 396 432 441 448 462 504 528 539 576 588 594 616 672 693 704 756 768 784 792 864 882 896 924 1008 1056 1078 1152 1176 1188 1232 1323 1344 1386 1408 1512 1568 1584 1617 1728 1764 1792 1848 2016 2079 2112 2156 2304 2352 2376 2464 2646 2688 2772 2816 3024 3136 3168 3234 3456 3528 3696 4032 4158 4224 4312 4704 4752 4851 4928 5292 5376 5544 6048 6067 6272 6336 6468 6912 7056 7392 8064 8316 8448 8624 9408 9504 9702 9856 10584 11088 12096 12134 12544 12672 12936 14112 14553 14784 16128 16632 17248 18201 18816 19008 19404 19712 21168 22176 24192 24268 25344 25872 28224 29106 29568 33264 34496 36402 37632 38016 38808 42336 42469 44352 48384 48536 51744 54603 56448 58212 59136 66528 66737 68992 72804 76032 77616 84672 84938 88704 97072 103488 109206 112896 116424 127407 133056 133474 137984 145608 155232 163809 169344 169876 177408 194144 200211 206976 218412 232848 254814 266112 266948 291216 297283 310464 327618 338688 339752 382221 388288 400422 413952 436824 465696 467159 509628 532224 533896 582432 594566 600633 620928 655236 679504 764442 776576 800844 873648 891849 931392 934318 1019256 1067792 1146663 1164864 1189132 1201266 1241856 1310472 1359008 1401477 1528884 1553152 1601688 1747296 1783698 1801899 1862784 1868636 2038512 2135584 2293326 2329728 2378264 2402532 2620944 2675547 2718016 2802954 3057768 3203376 3270113 3494592 3567396 3603798 3725568 3737272 4077024 4204431 4271168 4586652 4659456 4756528 4805064 5241888 5351094 5436032 5605908 6115536 6406752 6540226 6989184 7134792 7207596 7474544 8026641 8154048 8408862 8542336 9173304 9513056 9610128 9810339 10483776 10702188 10872064 11211816 12231072 12613293 12813504 13080452 13978368 14269584 14415192 14949088 16053282 16308096 16817724 17084672 18346608 19026112 19220256 19620678 20967552 21404376 22423632 24462144 25226586 25627008 26160904 28539168 28830384 29431017 29898176 32106564 32616192 33635448 36693216 36808489 38052224 38440512 39241356 41935104 42808752 44847264 48924288 50453172 51254016 52321808 57078336 57660768 58862034 59796352 64213128 67270896 73386432 73616978 76104448 76881024 78482712 85617504 88293051 89694528 97848576 100906344 104643616 110425467 114156672 115321536 117724068 119592704 128426256 134541792 146772864 147233956 153762048 156965424 171235008 176586102 179389056 201812688 209287232 220850934 228313344 230643072 235448136 256852512 257659423 269083584 293545728 294467912 313930848 331276401 342470016 353172204 358778112 403625376 404893379 418574464 441701868 461286144 470896272 513705024 515318846 538167168 588935824 627861696 662552802 684940032 706344408 772978269 807250752 809786758 837148928 883403736 941792544 993829203 1027410048 1030637692 1076334336 1177871648 1214680137 1255723392 1325105604 1412688816 1545956538 1614501504 1619573516 1766807472 1803615961 1883585088 1987658406 2054820096 2061275384 2318934807 2355743296 2429360274 2511446784 2650211208 2825377632 2834253653 3091913076 3229003008 3239147032 3533614944 3607231922 3644040411 3767170176 3975316812 4122550768 4637869614 4711486592 4858720548 5300422416 5410847883 5650755264 5668507306 6183826152 6478294064 6956804421 7067229888 7214463844 7288080822 7534340352 7950633624 8245101536 8502760959 9275739228 9422973184 9717441096 10600844832 10821695766 10932121233 11301510528 11337014612 12367652304 12956588128 13913608842 14134459776 14428927688 14576161644 15901267248 16232543649 16490203072 17005521918 18551478456 19434882192 19839775571 21201689664 21643391532 21864242466 22603021056 22674029224 24735304608 25508282877 25913176256 27827217684 28268919552 28857855376 29152323288 31802534496 32465087298 32980406144 34011043836 37102956912 38869764384 39679551142 42403379328 43286783064 43728484932 45348058448 48697630947 49470609216 51016565754 51826352512 55654435368 57715710752 58304646576 59519326713 63605068992 64930174596 65960812288 68022087672 74205913824 76524848631 77739528768 79359102284 84806758656 86573566128 87456969864 90696116896 97395261894 98941218432 102033131508 103652705024 111308870736 115431421504 116609293152 119038653426 127210137984 129860349192 136044175344 148411827648 153049697262 155479057536 158718204568 173147132256 174913939728 178557980139 181392233792 194790523788 197882436864 204066263016 222617741472 230862843008 233218586304 238077306852 254420275968 259720698384 272088350688 296823655296 306099394524 310958115072 317436409136 346294264512 349827879456 357115960278 362784467584 389581047576 408132526032 445235482944 461725686016 466437172608 476154613704 519441396768 535673940417 544176701376 593647310592 612198789048 634872818272 692588529024 699655758912 714231920556 725568935168 779162095152 816265052064 890470965888 932874345216 952309227408 1038882793536 1071347880834 1088353402752 1224397578096 1269745636544 1385177058048 1399311517824 1428463841112 1558324190304 1632530104128 1780941931776 1904618454816 2077765587072 2142695761668 2176706805504 2448795156192 2539491273088 2798623035648 2856927682224 3116648380608 3265060208256 3809236909632 4155531174144 4285391523336 4897590312384 5078982546176 5713855364448 6233296761216 6530120416512 7618473819264 8570783046672 9795180624768 11427710728896 12466593522432 15236947638528 17141566093344 19590361249536 22855421457792 34283132186688 45710842915584 68566264373376 137132528746752
• Sum of all divisors σ(n): 514702848834720
• Sum of proper divisors (its aliquot sum) s(n): 377570320087968
• 137132528746752 is an abundant number, because the sum of its proper divisors (377570320087968) is greater than itself. Its abundance is 240437791341216

Bases of 137132528746752

• Binary: 11111001011100010100111101010011100000100000000₂
• Hexadecimal: 0x7CB8A7A9C100
• Base-36: 1CLXTAYIO0

Squares and roots of 137132528746752

• 137132528746752 squared (137132528746752²) is 18805330440478763655750549504
• 137132528746752 cubed (137132528746752³) is 2578822517221124507515992308331700455211008
• The square root of 137132528746752 is 11710359.8897195299
• The cube root of 137132528746752 is 51567.9849612577

Scales and comparisons

• 137,132,528,746,752 seconds is equal to 4,360,390 years, 12 weeks, 1 day, 16 hours, 19 minutes, 12 seconds.
• To count from 1 to 137,132,528,746,752 would take you about ten million, nine hundred thousand, nine hundred seventy-five 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 137132528746752 cubic inches would be around 4297.3 feet tall.

Recreational maths with 137132528746752

• 137132528746752 backwards is 257647825231731
• 137132528746752 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137132528746752's digits is 63
• More coming soon!