314139938640
314,139,938,640 is an even composite number composed of seven prime numbers multiplied together.
314139938640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 314139938640:
24 × 3 × 5 × 112 × 17 × 233 × 2731
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 17 × 233 × 2731)See below for interesting mathematical facts about the number 314139938640 from the Numbermatics database.
Names of 314139938640
- Cardinal: 314139938640 can be written as Three hundred fourteen billion, one hundred thirty-nine million, nine hundred thirty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.1413993864 × 1011
Factors of 314139938640
Divisors of 314139938640
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 121 132 136 165 170 176 187 204 220 233 240 242 255 264 272 330 340 363 374 408 440 466 484 510 528 561 605 660 680 699 726 748 816 880 932 935 968 1020 1122 1165 1210 1320 1360 1398 1452 1496 1815 1864 1870 1936 2040 2057 2244 2330 2420 2563 2640 2731 2796 2805 2904 2992 3495 3630 3728 3740 3961 4080 4114 4488 4660 4840 5126 5462 5592 5610 5808 6171 6990 7260 7480 7689 7922 8193 8228 8976 9320 9680 10252 10285 10924 11184 11220 11883 12342 12815 13655 13980 14520 14960 15378 15844 16386 16456 18640 19805 20504 20570 21848 22440 23766 24684 25630 27310 27960 28193 29040 30041 30756 30855 31688 32772 32912 38445 39610 40965 41008 41140 43571 43696 44880 46427 47532 49368 51260 54620 55920 56386 59415 60082 61512 61710 63376 65544 76890 79220 81930 82280 84579 87142 90123 92854 95064 98736 102520 109240 112772 118830 120164 123024 123420 130713 131088 139281 140965 150205 153780 158440 163860 164560 169158 174284 180246 185708 190128 205040 217855 218480 225544 232135 237660 240328 246840 261426 278562 281930 300410 307560 316880 327720 330451 338316 348568 360492 371416 422895 435710 450615 451088 464270 475320 479281 480656 493680 510697 522852 557124 563860 600820 615120 636323 653565 655440 660902 676632 696405 697136 720984 742832 845790 871420 901230 928540 950640 958562 991353 1021394 1045704 1114248 1127720 1201640 1272646 1307130 1321804 1353264 1392810 1437843 1441968 1532091 1652255 1691580 1742840 1802460 1857080 1908969 1917124 1982706 2042788 2091408 2228496 2255440 2396405 2403280 2545292 2553485 2614260 2643608 2785620 2875686 3064182 3181615 3304510 3383160 3485680 3604920 3714160 3817938 3834248 3965412 4085576 4792810 4956765 5090584 5106970 5228520 5287216 5571240 5617667 5751372 6128364 6363230 6609020 6766320 6999553 7189215 7209840 7635876 7660455 7668496 7930824 8171152 9544845 9585620 9913530 10181168 10213940 10457040 10817491 11142480 11235334 11502744 12256728 12726460 13218040 13999106 14378430 15271752 15320910 15861648 16853001 19089690 19171240 19827060 20427880 20998659 21634982 22470668 23005488 24513456 25452920 26436080 27998212 28088335 28756860 30543504 30641820 32452473 33706002 34997765 38179380 38342480 39654120 40855760 41997318 43269964 44941336 50905840 54087455 55996424 56176670 57513720 61283640 64904946 67412004 69995530 76358760 76995083 79308240 83994636 84265005 86539928 89882672 104993295 108174910 111992848 112353340 115027440 118992401 122567280 129809892 134824008 139991060 152717520 153990166 162262365 167989272 168530010 173079856 209986590 216349820 224706680 230985249 237984802 259619784 269648016 279982120 307980332 324524730 335978544 337060020 356977203 384975415 419973180 432699640 449413360 461970498 475969604 519239568 559964240 594962005 615960664 649049460 674120040 713954406 769950830 839946360 865399280 923940996 951939208 1154926245 1189924010 1231921328 1298098920 1308916411 1348240080 1427908812 1539901660 1679892720 1784886015 1847881992 1903878416 2309852490 2379848020 2596197840 2617832822 2855817624 3079803320 3569772030 3695763984 3926749233 4619704980 4759696040 5235665644 5711635248 6159606640 6544582055 7139544060 7853498466 9239409960 9519392080 10471331288 13089164110 14279088120 15706996932 18478819920 19633746165 20942662576 26178328220 28558176240 31413993864 39267492330 52356656440 62827987728 78534984660 104713312880 157069969320 314139938640
- Sum of all divisors σ(n): 1138658871168
- Sum of proper divisors (its aliquot sum) s(n): 824518932528
- 314139938640 is an abundant number, because the sum of its proper divisors (824518932528) is greater than itself. Its abundance is 510378993888
Bases of 314139938640
- Binary: 1001001001001000011001100001111010100002
- Hexadecimal: 0x4924330F50
- Base-36: 40BAT3YO
Squares and roots of 314139938640
- 314139938640 squared (3141399386402) is 98683901048742965049600
- 314139938640 cubed (3141399386403) is 31000554620207946689813008556544000
-
The
square root of 314139938640 is 560481.8807419201 -
The
cube root of 314139938640 is 6797.8939458325
Scales and comparisons
How big is 314139938640?- 314,139,938,640 seconds is equal to 9,988 years, 35 weeks, 1 day, 22 hours, 4 minutes.
-
To count from 1 to 314,139,938,640 would take you about nineteen thousand, nine hundred seventy-seven 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 314139938640 cubic inches would be around 566.5 feet tall.
Recreational maths with 314139938640
- 314139938640 backwards is 046839931413
- 314139938640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 314139938640's digits is 51
- More coming soon!
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