40977134016

Names of 40977134016

• Cardinal: 40977134016 can be written as Forty billion, nine hundred seventy-seven million, one hundred thirty-four thousand and sixteen.

Scientific notation

• Scientific notation: 4.0977134016 × 10¹⁰

Factors of 40977134016

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 251

Divisors of 40977134016

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 17 19 21 24 26 28 32 34 38 39 42 48 51 52 53 56 57 64 68 76 78 84 91 96 102 104 106 112 114 119 133 136 137 152 156 159 168 182 192 204 208 212 221 224 228 238 247 266 272 273 274 304 312 318 323 336 357 364 371 399 408 411 416 424 442 448 456 476 494 532 544 546 548 608 624 636 646 663 672 689 714 728 741 742 798 816 822 832 848 884 901 912 952 959 969 988 1007 1064 1088 1092 1096 1113 1216 1248 1272 1292 1326 1344 1378 1428 1456 1482 1484 1547 1596 1632 1644 1696 1729 1768 1781 1802 1824 1904 1918 1938 1976 2014 2067 2128 2184 2192 2226 2261 2329 2496 2544 2584 2603 2652 2703 2756 2856 2877 2912 2964 2968 3021 3094 3192 3264 3288 3392 3458 3536 3562 3604 3648 3808 3836 3876 3952 4028 4134 4199 4256 4368 4384 4452 4522 4641 4658 4823 5088 5168 5187 5206 5304 5343 5406 5512 5712 5754 5824 5928 5936 6042 6188 6307 6384 6576 6783 6916 6987 7049 7072 7124 7208 7261 7616 7672 7752 7809 7904 8056 8268 8398 8512 8736 8768 8904 9044 9282 9316 9646 10176 10336 10374 10412 10608 10686 10812 11024 11424 11508 11713 11856 11872 12084 12376 12467 12597 12614 12768 13091 13152 13566 13832 13974 14098 14144 14248 14416 14469 14522 15344 15504 15618 15808 16112 16303 16536 16796 17119 17472 17808 18088 18221 18564 18632 18921 19292 20672 20748 20824 21147 21216 21372 21624 21783 22048 22848 23016 23426 23712 23744 24168 24752 24934 25194 25228 25536 26182 26304 27132 27664 27948 28196 28496 28832 28938 29044 29393 30277 30688 31008 31236 32224 32606 33072 33592 33839 34238 35139 35616 36176 36442 37128 37264 37401 37842 38584 39273 41496 41648 42294 42432 42744 43248 43566 44096 44251 46032 46852 47424 48336 48909 49504 49868 50388 50456 50827 51357 52364 54264 54663 55328 55896 56392 56992 57664 57876 58088 58786 60554 61376 62016 62472 64448 65212 66144 67184 67678 68476 70278 71232 72352 72884 74256 74528 74802 75684 77168 78546 81991 82992 83296 84588 85488 86496 87132 88179 88502 90831 91637 92064 93704 94393 96672 97818 99008 99736 100776 100912 101517 101654 102714 104728 108528 109326 110656 111792 112784 113984 115752 116176 117572 119833 121108 123437 124944 130424 132288 132753 134368 135356 136952 137959 140556 144704 145768 148512 149056 149604 151368 152481 154336 157092 163982 165984 166592 169176 170976 172992 174264 176358 177004 181662 183274 184128 187408 188786 193344 195636 199472 201552 201824 203034 203308 205428 209456 211939 217056 218652 222547 223584 225568 231504 232352 235144 236873 239666 242216 245973 246874 249888 260848 265506 268736 270712 273904 274911 275918 281112 283179 291536 297024 299208 302736 304962 308672 309757 314184 327964 331968 338352 341952 348528 352716 354008 359499 363324 366548 370311 374816 377572 391272 398944 403104 403648 406068 406616 410856 413877 418912 423878 434112 437304 445094 447168 451136 463008 464704 470288 473746 479332 484432 491946 493748 499776 521696 531012 541424 547808 549822 551836 562224 566358 575263 583072 598416 605472 609924 619514 628368 635817 655928 660751 667641 676704 697056 705432 708016 710619 718998 726648 733096 740622 749632 755144 782544 797888 806208 812136 813232 821712 827754 837824 847756 864059 874608 890188 926016 929271 940576 947492 958664 965713 968864 983892 987496 1043392 1062024 1082848 1095616 1099644 1103672 1124448 1132716 1150526 1166144 1196832 1210944 1219848 1239028 1256736 1271634 1311856 1321502 1335282 1353408 1394112 1410864 1416032 1421238 1437996 1453296 1466192 1481244 1510288 1557829 1565088 1604681 1624272 1626464 1643424 1655508 1695512 1725789 1728118 1749216 1780376 1793467 1858542 1881152 1894984 1917328 1931426 1937728 1967784 1974992 1982253 2124048 2165696 2199288 2207344 2248896 2265432 2301052 2345303 2393664 2439696 2478056 2513472 2543268 2592177 2623712 2643004 2670564 2821728 2832064 2842476 2875992 2897139 2906592 2932384 2962488 3020576 3115658 3130176 3209362 3248544 3252928 3286848 3311016 3391024 3451578 3456236 3498432 3560752 3586934 3717084 3789968 3834656 3862852 3935568 3949984 3964506 4026841 4248096 4398576 4414688 4530864 4602104 4673487 4690606 4814043 4879392 4956112 5086536 5184354 5247424 5286008 5341128 5380401 5643456 5684952 5751984 5794278 5813184 5864768 5924976 6041152 6231316 6418724 6497088 6622032 6782048 6903156 6912472 7035909 7121504 7173868 7434168 7579936 7669312 7725704 7871136 7899968 7929012 8053682 8496192 8797152 8829376 9061728 9204208 9346974 9381212 9628086 9758784 9912224 10173072 10368708 10572016 10682256 10760802 11232767 11369904 11503968 11588556 11849952 12080523 12462632 12554269 12837448 13244064 13564096 13806312 13824944 14071818 14243008 14347736 14868336 15159872 15451408 15742272 15858024 16107364 16417121 17594304 18123456 18408416 18693948 18762424 19256172 19824448 20346144 20737416 21144032 21364512 21521604 22465534 22739808 23007936 23177112 23699904 24161046 24925264 25108538 25674896 26488128 27612624 27649888 28143636 28695472 29736672 30488939 30902816 31716048 32214728 32834242 33698301 36816832 37387896 37524848 37662807 38512344 40692288 41474832 42288064 42729024 43043208 44931068 45479616 46354224 48322092 49251363 49850528 50217076 51349792 55225248 55299776 56287272 57390944 59473344 60977878 61805632 63432096 64429456 65668484 67396602 74775792 75049696 75325614 77024688 82949664 86086416 89862136 91466817 92708448 96644184 98502726 99701056 100434152 102699584 110450496 112574544 114781888 121955756 126864192 128858912 131336968 134793204 149551584 150099392 150651228 154049376 165899328 172172832 179724272 182933634 185416896 193288368 197005452 200868304 213422573 225149088 243911512 257717824 262673936 269586408 299103168 301302456 308098752 344345664 359448544 365867268 386576736 394010904 401736608 426845146 450298176 487823024 525347872 539172816 602604912 640267719 718897088 731734536 773153472 788021808 803473216 853690292 975646048 1050695744 1078345632 1205209824 1280535438 1463469072 1576043616 1707380584 1951292096 2156691264 2410419648 2561070876 2926938144 3152087232 3414761168 5122141752 5853876288 6829522336 10244283504 13659044672 20488567008 40977134016
• Sum of all divisors σ(n): 152636037120
• Sum of proper divisors (its aliquot sum) s(n): 111658903104
• 40977134016 is an abundant number, because the sum of its proper divisors (111658903104) is greater than itself. Its abundance is 70681769088

Bases of 40977134016

• Binary: 100110001010011011010111000111000000₂
• Hexadecimal: 0x98A6D71C0
• Base-36: ITOQ6YO

Squares and roots of 40977134016

• 40977134016 squared (40977134016²) is 1679125512165224288256
• 40977134016 cubed (40977134016³) is 68805751141679033994564326916096
• The square root of 40977134016 is 202428.0959155621
• The cube root of 40977134016 is 3447.5760896297

Scales and comparisons

• 40,977,134,016 seconds is equal to 1,302 years, 49 weeks, 1 day, 9 hours, 13 minutes, 36 seconds.
• To count from 1 to 40,977,134,016 would take you about two thousand, six hundred 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 40977134016 cubic inches would be around 287.3 feet tall.

Recreational maths with 40977134016

• 40977134016 backwards is 61043177904
• 40977134016 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40977134016's digits is 42
• More coming soon!