768997031040
768,997,031,040 is an even composite number composed of six prime numbers multiplied together.
768997031040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 768997031040:
27 × 33 × 5 × 72 × 31 × 29297
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 31 × 29297)See below for interesting mathematical facts about the number 768997031040 from the Numbermatics database.
Names of 768997031040
- Cardinal: 768997031040 can be written as Seven hundred sixty-eight billion, nine hundred ninety-seven million, thirty-one thousand and forty.
Scientific notation
- Scientific notation: 7.6899703104 × 1011
Factors of 768997031040
Divisors of 768997031040
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 31 32 35 36 40 42 45 48 49 54 56 60 62 63 64 70 72 80 84 90 93 96 98 105 108 112 120 124 126 128 135 140 144 147 155 160 168 180 186 189 192 196 210 216 217 224 240 245 248 252 270 279 280 288 294 310 315 320 336 360 372 378 384 392 420 432 434 441 448 465 480 490 496 504 540 558 560 576 588 620 630 640 651 672 720 735 744 756 784 837 840 864 868 882 896 930 945 960 980 992 1008 1080 1085 1116 1120 1152 1176 1240 1260 1302 1323 1344 1395 1440 1470 1488 1512 1519 1568 1674 1680 1728 1736 1764 1860 1890 1920 1953 1960 1984 2016 2160 2170 2205 2232 2240 2352 2480 2520 2604 2646 2688 2790 2880 2940 2976 3024 3038 3136 3255 3348 3360 3456 3472 3528 3720 3780 3906 3920 3968 4032 4185 4320 4340 4410 4464 4480 4557 4704 4960 5040 5208 5292 5580 5760 5859 5880 5952 6048 6076 6272 6510 6615 6696 6720 6944 7056 7440 7560 7595 7812 7840 8064 8370 8640 8680 8820 8928 9114 9408 9765 9920 10080 10416 10584 11160 11718 11760 11904 12096 12152 13020 13230 13392 13440 13671 13888 14112 14880 15120 15190 15624 15680 16740 17280 17360 17640 17856 18228 18816 19530 19840 20160 20832 21168 22320 22785 23436 23520 24192 24304 26040 26460 26784 27342 27776 28224 29295 29297 29760 30240 30380 31248 31360 33480 34720 35280 35712 36456 39060 40320 41013 41664 42336 44640 45570 46872 47040 48608 52080 52920 53568 54684 56448 58590 58594 59520 60480 60760 62496 66960 68355 69440 70560 72912 78120 82026 83328 84672 87891 89280 91140 93744 94080 97216 104160 105840 107136 109368 117180 117188 120960 121520 124992 133920 136710 138880 141120 145824 146485 156240 164052 169344 175782 178560 182280 187488 194432 205065 205079 208320 211680 218736 234360 234376 243040 249984 263673 267840 273420 282240 291648 292970 312480 328104 351564 364560 374976 410130 410158 416640 423360 437472 439455 468720 468752 486080 527346 535680 546840 583296 585940 615237 624960 656208 703128 729120 749952 791019 820260 820316 846720 874944 878910 908207 937440 937504 972160 1025395 1054692 1093680 1171880 1230474 1249920 1312416 1318365 1406256 1435553 1458240 1582038 1640520 1640632 1749888 1757820 1816414 1845711 1874880 1875008 2050790 2109384 2187360 2343760 2460948 2624832 2636730 2724621 2812512 2871106 2916480 3076185 3164076 3281040 3281264 3515640 3632828 3691422 3749760 3750016 3955095 4101580 4218768 4306659 4374720 4541035 4687520 4921896 5249664 5273460 5449242 5537133 5625024 5742212 6152370 6328152 6357449 6562080 6562528 7031280 7177765 7265656 7382844 7910190 8173863 8203160 8437536 8613318 8749440 9082070 9228555 9375040 9843792 10546920 10898484 11074266 11250048 11484424 12304740 12656304 12714898 12919977 13124160 13125056 13623105 14062560 14355530 14531312 14765688 15820380 16347726 16406320 16875072 17226636 18164140 18457110 18750080 19072347 19687584 21093840 21533295 21796968 22148532 22968848 24521589 24609480 25312608 25429796 25839954 26248320 26250112 27246210 27685665 28125120 28711060 29062624 29531376 31640760 31787245 32695452 32812640 33750144 34453272 36328280 36914220 38144694 38759931 39375168 40869315 42187680 43066590 43593936 44297064 44502143 45937696 49043178 49218960 50625216 50859592 51679908 54492420 55371330 56250240 57217041 57422120 58125248 59062752 63281520 63574490 64599885 65390904 65625280 68906544 72656560 73828440 76289388 77519862 78750336 81738630 84375360 86133180 87187872 88594128 89004286 91875392 95361735 98086356 98437920 101250432 101719184 103359816 108984840 110742660 114434082 114844240 116250496 118125504 122607945 126563040 127148980 129199770 130781808 131250560 133506429 137813088 145313120 147656880 152578776 155039724 163477260 168750720 171651123 172266360 174375744 177188256 178008572 183750784 190723470 193799655 196172712 196875840 203438368 206719632 217969680 221485320 222510715 228868164 229688480 236251008 245215890 253126080 254297960 258399540 261563616 267012858 275626176 286085205 290626240 295313760 305157552 310079448 326954520 343302246 344532720 348751488 354376512 356017144 381446940 387599310 392345424 393751680 400519287 406876736 413439264 435939360 442970640 445021430 457736328 459376960 490431780 506252160 508595920 516799080 523127232 534025716 551252352 572170410 581252480 590627520 610315104 620158896 653909040 667532145 686604492 689065440 708753024 712034288 762893880 775198620 784690848 801038574 813753472 826878528 858255615 871878720 885941280 890042860 915472656 918753920 980863560 1017191840 1033598160 1046254464 1068051432 1144340820 1181255040 1201557861 1220630208 1240317792 1307818080 1335064290 1373208984 1378130880 1424068576 1525787760 1550397240 1569381696 1602077148 1653757056 1716511230 1743757440 1771882560 1780085720 1830945312 1961727120 2002596435 2034383680 2067196320 2136102864 2288681640 2403115722 2441260416 2480635584 2615636160 2670128580 2746417968 2756261760 2848137152 3051575520 3100794480 3138763392 3204154296 3433022460 3543765120 3560171440 3661890624 3923454240 4005192870 4068767360 4134392640 4272205728 4577363280 4806231444 4961271168 5231272320 5340257160 5492835936 5696274304 6007789305 6103151040 6201588960 6408308592 6866044920 7120342880 7323781248 7846908480 8010385740 8268785280 8544411456 9154726560 9612462888 10680514320 10985671872 12015578610 12206302080 12403177920 12816617184 13732089840 14240685760 15693816960 16020771480 17088822912 18309453120 19224925776 21361028640 21971343744 24031157220 24806355840 25633234368 27464179680 28481371520 32041542960 36618906240 38449851552 42722057280 48062314440 51266468736 54928359360 64083085920 76899703104 85444114560 96124628880 109856718720 128166171840 153799406208 192249257760 256332343680 384498515520 768997031040
- Sum of all divisors σ(n): 3270500582400
- Sum of proper divisors (its aliquot sum) s(n): 2501503551360
- 768997031040 is an abundant number, because the sum of its proper divisors (2501503551360) is greater than itself. Its abundance is 1732506520320
Bases of 768997031040
- Binary: 10110011000010111100101101111100100000002
- Hexadecimal: 0xB30BCB7C80
- Base-36: 9T9SZ6O0
Squares and roots of 768997031040
- 768997031040 squared (7689970310402) is 591356433748334723481600
- 768997031040 cubed (7689970310403) is 454751341838871860901489772068864000
-
The
square root of 768997031040 is 876924.7579125589 -
The
cube root of 768997031040 is 9161.6751282591
Scales and comparisons
How big is 768997031040?- 768,997,031,040 seconds is equal to 24,451 years, 37 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 768,997,031,040 would take you about forty-eight thousand, nine hundred three 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 768997031040 cubic inches would be around 763.5 feet tall.
Recreational maths with 768997031040
- 768997031040 backwards is 040130799867
- 768997031040 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 768997031040's digits is 54
- More coming soon!
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