131970782328

Names of 131970782328

• Cardinal: 131970782328 can be written as One hundred thirty-one billion, nine hundred seventy million, seven hundred eighty-two thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 1.31970782328 × 10¹¹

Factors of 131970782328

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 265

Divisors of 131970782328

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 21 22 24 28 29 33 42 44 49 56 58 61 66 73 77 79 84 87 88 98 116 122 132 146 147 154 158 168 174 183 196 203 219 231 232 237 244 264 292 294 308 316 319 348 366 392 406 427 438 462 474 488 511 539 553 584 588 609 616 632 638 671 696 732 803 812 854 869 876 924 948 957 1022 1078 1106 1176 1218 1276 1281 1342 1421 1464 1533 1606 1617 1624 1659 1708 1738 1752 1769 1848 1896 1914 2013 2044 2117 2156 2212 2233 2291 2409 2436 2552 2562 2607 2684 2842 2989 3066 3212 3234 3318 3416 3476 3538 3577 3828 3871 4026 4088 4234 4263 4312 4424 4453 4466 4582 4697 4818 4819 4872 5124 5214 5307 5368 5621 5684 5767 5978 6083 6132 6351 6424 6468 6636 6699 6873 6952 7076 7154 7656 7742 8052 8468 8526 8906 8932 8967 9164 9394 9636 9638 10248 10428 10614 10731 11242 11368 11534 11613 11956 12166 12264 12383 12702 12936 13272 13359 13398 13746 14091 14152 14308 14457 14819 15484 15631 16037 16104 16863 16936 17052 17301 17812 17864 17934 18249 18328 18788 19272 19276 19459 20856 21228 21462 22484 23068 23226 23287 23912 24332 24766 25201 25404 26718 26796 27492 28182 28616 28914 29638 30968 31171 31262 32074 32879 33726 33733 34104 34602 35624 35868 36498 37149 37576 38552 38918 39347 40369 42456 42581 42924 44457 44968 46136 46452 46574 46893 48111 48664 48983 49532 50402 50808 53009 53436 53592 54984 56364 57828 58377 59276 62342 62524 63437 64148 65758 67452 67466 69204 69861 71736 72996 74298 75603 77836 78694 80738 85162 85848 86681 88914 92904 93148 93513 93786 96222 97966 98637 99064 100804 101199 103733 106018 106872 112259 112728 115656 116754 118041 118552 121107 124684 125048 126874 127743 128296 129137 131516 134904 134932 136213 138408 139722 139751 145992 146949 148596 151206 155672 157388 159027 161476 163009 167243 170324 173362 176407 177828 186296 187026 187572 190311 192444 195932 197274 201608 202398 207466 212036 218197 224518 233508 236082 236131 242214 249368 253748 255486 258274 260043 263032 269864 272426 279444 279502 282583 293898 297192 302412 311199 314776 318054 322952 326018 334486 336777 340648 342881 346724 351787 352814 355656 371063 374052 375144 380622 384888 387411 391864 394548 404796 408639 414932 419253 424072 436394 444059 449036 467016 472164 472262 484428 489027 501729 507496 510972 516548 520086 529221 544852 558888 559004 565166 587796 604824 622398 636108 652036 654591 668972 673554 685762 693448 703574 705628 708393 742126 748104 761244 774822 789096 809592 817278 829864 838506 847749 872788 888118 898072 903959 944328 944524 953491 968856 978054 978257 1003458 1021944 1028643 1033096 1040172 1055361 1058442 1089704 1113189 1118008 1130332 1141063 1170701 1175592 1234849 1244796 1272216 1304072 1309182 1332177 1337944 1347108 1371524 1407148 1411256 1416786 1420507 1484252 1522488 1537261 1549644 1634556 1677012 1695498 1745576 1776236 1807918 1839673 1889048 1906982 1956108 1956514 2006916 2057286 2080344 2110722 2116884 2226378 2260664 2282126 2341402 2400167 2462509 2469698 2489592 2597441 2618364 2664354 2694216 2711877 2743048 2814296 2833572 2841014 2860473 2934771 2968504 3074522 3099288 3108413 3269112 3354024 3390996 3423189 3512103 3552472 3615836 3679346 3704547 3813964 3869657 3912216 3913028 4013832 4114572 4221444 4233768 4261521 4452756 4564252 4611783 4682804 4800334 4925018 4939396 5194882 5236728 5328708 5423754 5519019 5667144 5682028 5720946 5869542 6149044 6216826 6327713 6781992 6846378 6847799 7024206 7200501 7231672 7358692 7387527 7409094 7627928 7739314 7792323 7826056 8194907 8229144 8442888 8523042 8905512 9128504 9223566 9325239 9365608 9600668 9850036 9878792 9943549 10201823 10389764 10657416 10760827 10847508 11038038 11364056 11441892 11608971 11739084 12298088 12433652 12655426 12877711 13692756 13695598 14048412 14401002 14717384 14775054 14818188 15478628 15584646 16389814 17046084 17237563 18447132 18650478 18983139 19201336 19700072 19887098 20403646 20543397 20779528 21521654 21695016 22076076 22883784 23217942 23478168 24584721 24867304 25310852 25755422 27087599 27385512 27391196 28096824 28802004 29550108 29636376 29830647 30605469 30957256 31169292 32282481 32779628 34092168 34475126 36894264 37300956 37966278 38633133 39774196 40807292 41086794 43043308 44152152 46435884 49169442 50621704 51510844 51712689 54175198 54782392 57604008 59100216 59661294 61210938 62338584 64564962 65559256 68950252 69604843 71412761 74601912 75325789 75932556 77266266 79548392 81262797 81614584 82173588 86086616 90143977 92871768 98338884 103021688 103425378 108350396 112220053 119322588 122421876 129129924 137900504 139209686 142825522 150651578 151865112 154532532 162525594 164347176 180287954 189613193 196677768 206850756 208814529 214238283 216700792 224440106 225977367 238645176 244843752 258259848 270431931 278419372 285651044 301303156 309065064 325051188 336660159 360575908 379226386 413701512 417629058 428476566 448880212 451954734 499889327 540863862 556838744 568839579 571302088 602606312 650102376 673320318 721151816 758452772 785540371 835258116 856953132 897760424 903909468 999778654 1081727724 1137679158 1346640636 1499667981 1516905544 1571080742 1670516232 1713906264 1807818936 1999557308 2163455448 2275358316 2356621113 2693281272 2999335962 3142161484 3999114616 4550716632 4713242226 5498782597 5998671924 6284322968 9426484452 10997565194 11997343848 16496347791 18852968904 21995130388 32992695582 43990260776 65985391164 131970782328
• Sum of all divisors σ(n): 451899648000
• Sum of proper divisors (its aliquot sum) s(n): 319928865672
• 131970782328 is an abundant number, because the sum of its proper divisors (319928865672) is greater than itself. Its abundance is 187958083344

Bases of 131970782328

• Binary: 1111010111010000100100101010001111000₂
• Hexadecimal: 0x1EBA125478
• Base-36: 1OMJZVCO

Squares and roots of 131970782328

• 131970782328 squared (131970782328²) is 17416287388264357099584
• 131970782328 cubed (131970782328³) is 2298441071878527092510061483351552
• The square root of 131970782328 is 363277.8307686831
• The cube root of 131970782328 is 5091.2676703071

Scales and comparisons

• 131,970,782,328 seconds is equal to 4,196 years, 13 weeks, 4 days, 14 hours, 38 minutes, 48 seconds.
• To count from 1 to 131,970,782,328 would take you about eight thousand, three hundred ninety-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 131970782328 cubic inches would be around 424.3 feet tall.

Recreational maths with 131970782328

• 131970782328 backwards is 823287079131
• The number of decimal digits it has is: 12
• The sum of 131970782328's digits is 51
• More coming soon!