135688912128

Names of 135688912128

• Cardinal: 135688912128 can be written as One hundred thirty-five billion, six hundred eighty-eight million, nine hundred twelve thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.35688912128 × 10¹¹

Factors of 135688912128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 66

Divisors of 135688912128

• Number of divisors d(n): 1152
• 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 43 44 48 49 54 56 63 64 66 72 77 84 86 88 96 98 99 108 112 121 126 128 129 132 144 147 154 168 172 176 189 192 196 198 216 224 231 242 252 256 258 264 288 294 297 301 308 336 343 344 352 363 378 384 387 392 396 432 441 448 462 473 484 504 516 528 539 576 588 594 602 616 672 686 688 693 704 726 756 768 774 784 792 847 864 882 896 903 924 946 968 1008 1029 1032 1056 1078 1089 1152 1161 1176 1188 1204 1232 1323 1331 1344 1372 1376 1386 1408 1419 1452 1512 1548 1568 1584 1617 1694 1728 1764 1792 1806 1848 1892 1936 2016 2058 2064 2079 2107 2112 2156 2178 2304 2322 2352 2376 2408 2464 2541 2646 2662 2688 2709 2744 2752 2772 2816 2838 2904 3024 3087 3096 3136 3168 3234 3267 3311 3388 3456 3528 3612 3696 3773 3784 3872 3993 4032 4116 4128 4158 4214 4224 4257 4312 4356 4644 4704 4752 4816 4851 4928 5082 5203 5292 5324 5376 5418 5488 5504 5544 5676 5808 5929 6048 6174 6192 6272 6321 6336 6468 6534 6622 6776 6912 7056 7224 7392 7546 7568 7623 7744 7986 8064 8127 8232 8256 8316 8428 8448 8514 8624 8712 9261 9288 9317 9408 9504 9632 9702 9856 9933 10164 10406 10584 10648 10836 10976 11008 11088 11319 11352 11616 11858 11979 12096 12348 12384 12544 12642 12672 12771 12936 13068 13244 13552 14112 14448 14553 14749 14784 15092 15136 15246 15488 15609 15972 16128 16254 16464 16512 16632 16856 17028 17248 17424 17787 18522 18576 18634 18816 18963 19008 19264 19404 19712 19866 20328 20812 21168 21296 21672 21952 22176 22638 22704 22869 23177 23232 23716 23958 24192 24696 24768 25284 25344 25542 25872 26136 26488 27104 27951 28224 28896 29106 29498 29568 29799 30184 30272 30492 30976 31218 31944 32508 32928 33024 33264 33712 33957 34056 34496 34848 35574 35937 36421 37044 37152 37268 37632 37926 38016 38528 38808 39732 40656 41503 41624 42336 42592 43344 43904 44247 44352 45276 45408 45738 46354 46464 46827 47432 47916 48384 49392 49536 50568 51084 51744 52272 52976 53361 54208 55902 56448 56889 57233 57792 58212 58996 59136 59598 60368 60544 60984 62436 63888 65016 65219 65856 66528 67424 67914 68112 68992 69531 69696 71148 71874 72842 74088 74304 74536 75852 76032 77056 77616 79464 81312 83006 83248 83853 84672 85184 86688 87808 88494 88704 89397 90552 90816 91476 92708 92928 93654 94864 95832 98784 99072 101136 101871 102168 103488 104544 105952 106722 108416 109263 111804 112896 113778 114466 115584 116424 117992 119196 120736 121088 121968 124509 124872 127776 130032 130438 131712 132741 133056 134848 135828 136224 137984 139062 139392 140481 142296 143748 145684 148176 148608 149072 151704 155232 158928 160083 162239 162624 166012 166496 167706 169344 170368 171699 173376 176988 177408 178794 181104 181632 182952 185416 187308 189728 191664 195657 197568 202272 203742 204336 206976 208593 209088 211904 213444 216832 218526 223608 227556 228932 231168 232848 235984 238392 241472 243936 249018 249744 251559 254947 255552 260064 260876 263424 265482 266112 269696 271656 272448 278124 278784 280962 284592 287496 291368 296352 297216 298144 303408 310464 317856 320166 324478 325248 327789 332024 332992 335412 338688 340736 343398 346752 353976 357588 362208 363264 365904 370832 373527 374616 379456 383328 391314 395136 398223 400631 404544 407484 408672 413952 417186 418176 423808 426888 437052 447216 455112 456533 457864 465696 471968 476784 482944 486717 487872 498036 499488 503118 509894 511104 515097 520128 521752 530964 532224 539392 543312 544896 556248 561924 569184 574992 582736 586971 592704 596288 606816 620928 625779 635712 640332 648956 650496 655578 664048 665984 670824 686796 693504 707952 715176 724416 731808 741664 747054 749232 758912 764841 766656 782628 790272 796446 801262 809088 814968 817344 834372 836352 847616 853776 874104 894432 910224 913066 915728 931392 943936 953568 965888 973434 975744 983367 996072 998976 1006236 1019788 1022208 1030194 1040256 1043504 1061928 1086624 1089792 1112496 1120581 1123848 1138368 1149984 1165472 1173942 1185408 1192576 1201893 1213632 1241856 1251558 1271424 1280664 1297912 1311156 1328096 1331968 1341648 1369599 1373592 1415904 1430352 1448832 1460151 1463616 1483328 1494108 1498464 1517824 1529682 1533312 1545291 1565256 1592892 1602524 1618176 1629936 1634688 1668744 1707552 1748208 1760913 1784629 1788864 1820448 1826132 1831456 1862784 1887872 1907136 1946868 1951488 1966734 1992144 1997952 2012472 2039576 2060388 2080512 2087008 2123856 2173248 2224992 2241162 2247696 2276736 2294523 2299968 2330944 2347884 2370816 2385152 2403786 2427264 2503116 2542848 2561328 2595824 2622312 2656192 2683296 2739198 2747184 2804417 2831808 2860704 2897664 2920302 2927232 2966656 2988216 2996928 3059364 3066624 3090582 3130512 3185784 3205048 3259872 3269376 3337488 3415104 3496416 3521826 3569258 3577728 3605679 3640896 3652264 3662912 3725568 3775744 3814272 3893736 3933468 3984288 3995904 4024944 4079152 4108797 4120776 4174016 4247712 4346496 4380453 4449984 4482324 4495392 4553472 4589046 4599936 4661888 4695768 4807572 4854528 5006232 5122656 5191648 5244624 5312384 5353887 5366592 5478396 5494368 5608834 5663616 5721408 5840604 5854464 5933312 5976432 5993856 6118728 6181164 6261024 6371568 6410096 6519744 6674976 6830208 6883569 6992832 7043652 7138516 7155456 7211358 7281792 7304528 7325824 7628544 7787472 7866936 7968576 8049888 8158304 8217594 8241552 8348032 8413251 8495424 8692992 8760906 8899968 8964648 8990784 9178092 9199872 9323776 9391536 9615144 10012464 10245312 10383296 10489248 10624768 10707774 10733184 10817037 10956792 10988736 11217668 11327232 11442816 11681208 11952864 11987712 12237456 12326391 12362328 12522048 12743136 12820192 13039488 13349952 13660416 13767138 13985664 14087304 14277032 14422716 14563584 14609056 14651648 15574944 15733872 15937152 16061661 16099776 16316608 16435188 16483104 16696064 16826502 16990848 17521812 17799936 17929296 17981568 18356184 18783072 19230288 19630919 20024928 20490624 20766592 20978496 21415548 21466368 21634074 21913584 21977472 22435336 22885632 23362416 23905728 24474912 24652782 24724656 25044096 25239753 25486272 25640384 26078976 26699904 27534276 27971328 28174608 28554064 28845432 29218112 31149888 31467744 31874304 32123322 32199552 32633216 32870376 32966208 33653004 33981696 35043624 35858592 35963136 36712368 37566144 38460576 39261838 40049856 40981248 41533184 41956992 42831096 43268148 43827168 43954944 44870672 46724832 47811456 48184983 48949824 49305564 49449312 50088192 50479506 50972544 51280768 53399808 55068552 56349216 57108128 57690864 58436224 58892757 62299776 62935488 64246644 64399104 65266432 65740752 65932416 67306008 70087248 71717184 73424736 75132288 75719259 76921152 78523676 80099712 83913984 85662192 86536296 87654336 89741344 93449664 95622912 96369966 97899648 98611128 98898624 100959012 101945088 102561536 110137104 112698432 114216256 115381728 116872448 117785514 124599552 125870976 128493288 131481504 131864832 134612016 140174496 143434368 146849472 150264576 151438518 153842304 157047352 160199424 171324384 173072592 175308672 176678271 179482688 186899328 192739932 195799296 197222256 197797248 201918024 220274208 225396864 228432512 230763456 235571028 251741952 256986576 262963008 269224032 280348992 286868736 293698944 302877036 307684608 314094704 342648768 346145184 350617344 353356542 358965376 373798656 385479864 394444512 395594496 403836048 440548416 450793728 456865024 461526912 471142056 513973152 525926016 530034813 538448064 560697984 587397888 605754072 628189408 685297536 692290368 706713084 717930752 770959728 788889024 807672096 881096832 923053824 942284112 1027946304 1051852032 1060069626 1076896128 1121395968 1211508144 1256378816 1370595072 1384580736 1413426168 1541919456 1577778048 1615344192 1762193664 1884568224 2055892608 2120139252 2153792256 2423016288 2512757632 2769161472 2826852336 3083838912 3155556096 3230688384 3769136448 4111785216 4240278504 4846032576 5025515264 5653704672 6167677824 6461376768 7538272896 8480557008 9692065152 11307409344 12335355648 15076545792 16961114016 19384130304 22614818688 33922228032 45229637376 67844456064 135688912128
• Sum of all divisors σ(n): 526665216000
• Sum of proper divisors (its aliquot sum) s(n): 390976303872
• 135688912128 is an abundant number, because the sum of its proper divisors (390976303872) is greater than itself. Its abundance is 255287391744

Bases of 135688912128

• Binary: 1111110010111101100000111110100000000₂
• Hexadecimal: 0x1F97B07D00
• Base-36: 1QC1OAO0

Squares and roots of 135688912128

• 135688912128 squared (135688912128²) is 18411480874480105488384
• 135688912128 cubed (135688912128³) is 2498233810523683631297507100721152
• The square root of 135688912128 is 368359.7591051443
• The cube root of 135688912128 is 5138.6391362657

Scales and comparisons

• 135,688,912,128 seconds is equal to 4,314 years, 25 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 135,688,912,128 would take you about eight thousand, six hundred twenty-eight 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 135688912128 cubic inches would be around 428.2 feet tall.

Recreational maths with 135688912128

• 135688912128 backwards is 821219886531
• 135688912128 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135688912128's digits is 54
• More coming soon!