138116417920
138,116,417,920 is an even composite number composed of seven prime numbers multiplied together.
138116417920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 138116417920:
27 × 5 × 13 × 31 × 37 × 41 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 31 × 37 × 41 × 353)See below for interesting mathematical facts about the number 138116417920 from the Numbermatics database.
Names of 138116417920
- Cardinal: 138116417920 can be written as One hundred thirty-eight billion, one hundred sixteen million, four hundred seventeen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3811641792 × 1011
Factors of 138116417920
Divisors of 138116417920
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 31 32 37 40 41 52 62 64 65 74 80 82 104 124 128 130 148 155 160 164 185 205 208 248 260 296 310 320 328 353 370 403 410 416 481 496 520 533 592 620 640 656 706 740 806 820 832 962 992 1040 1066 1147 1184 1240 1271 1312 1412 1480 1517 1612 1640 1664 1765 1924 1984 2015 2080 2132 2294 2368 2405 2480 2542 2624 2665 2824 2960 3034 3224 3280 3530 3848 3968 4030 4160 4264 4588 4589 4736 4810 4960 5084 5248 5330 5648 5735 5920 6068 6355 6448 6560 7060 7585 7696 8060 8320 8528 9176 9178 9620 9920 10168 10660 10943 11296 11470 11840 12136 12710 12896 13061 13120 14120 14473 14911 15170 15392 16120 16523 17056 18352 18356 19240 19721 19840 20336 21320 21886 22592 22940 22945 23680 24272 25420 25792 26122 26240 28240 28946 29822 30340 30784 32240 33046 34112 36704 36712 38480 39442 40672 42640 43772 45184 45880 45890 47027 48544 50840 51584 52244 54715 56480 57892 59644 60680 61568 64480 65305 66092 68224 72365 73408 73424 74555 76960 78884 81344 82615 85280 87544 91760 91780 94054 97088 98605 101680 104488 109430 112960 115784 119288 121360 128960 130610 132184 142259 144730 146816 146848 149110 153920 157768 162688 165230 169793 170560 175088 183520 183560 188108 188149 194176 197210 203360 208976 218860 225920 231568 235135 238576 242720 257920 261220 264368 284518 289460 293696 298220 307840 315536 330460 339586 341120 350176 367040 367120 376216 376298 394420 404891 406720 417952 437720 448663 463136 470270 477152 485440 522440 528736 535501 569036 578920 587392 596440 611351 631072 660920 679172 700352 711295 734080 734240 752432 752596 788840 809782 813440 835904 848965 875440 897326 926272 940540 940745 954304 970880 1044880 1057472 1071002 1138072 1157840 1192880 1222702 1262144 1321840 1358344 1400704 1422590 1468480 1504864 1505192 1577680 1619564 1671808 1697930 1750880 1794652 1852544 1881080 1881490 1908608 2024455 2089760 2114944 2142004 2243315 2276144 2315680 2385760 2445404 2524288 2643680 2677505 2716688 2845180 2936960 3009728 3010384 3056755 3155360 3239128 3395860 3501760 3589304 3762160 3762980 4048910 4179520 4284008 4486630 4552288 4631360 4771520 4890808 5263583 5287360 5355010 5433376 5690360 5832619 6019456 6020768 6113510 6310720 6478256 6791720 6961513 7003520 7178608 7524320 7525960 8097820 8359040 8568016 8973260 9104576 9262720 9543040 9781616 10527166 10574720 10710020 10866752 11380720 11665238 12041536 12227020 12621440 12956512 13583440 13923026 14357216 15048640 15051920 16195640 16600531 17136032 17946520 18209152 19563232 21054332 21420040 21733504 22761440 23330476 24083072 24454040 25913024 26317915 27166880 27846052 28714432 29163095 30097280 30103840 32391280 33201062 34272064 34807565 35893040 39126464 42108664 42840080 45522880 46660952 48908080 51826048 52635830 54333760 55692104 57428864 58326190 60207680 64782560 66402124 68544128 69615130 71786080 78252928 83002655 84217328 85680160 91045760 93321904 97816160 105271660 108667520 111384208 116652380 120415360 129565120 132804248 139230260 143572160 166005310 168434656 171360320 186643808 195632320 210543320 215806903 222768416 233304760 259130240 265608496 278460520 287144320 332010620 336869312 342720640 373287616 391264640 421086640 431613806 445536832 466609520 531216992 556921040 664021240 673738624 746575232 842173280 863227612 891073664 933219040 1062433984 1079034515 1113842080 1328042480 1684346560 1726455224 1866438080 2124867968 2158069030 2227684160 2656084960 3368693120 3452910448 3732876160 4316138060 4455368320 5312169920 6905820896 8632276120 10624339840 13811641792 17264552240 27623283584 34529104480 69058208960 138116417920
- Sum of all divisors σ(n): 387262632960
- Sum of proper divisors (its aliquot sum) s(n): 249146215040
- 138116417920 is an abundant number, because the sum of its proper divisors (249146215040) is greater than itself. Its abundance is 111029797120
Bases of 138116417920
- Binary: 100000001010000110000101001001100000002
- Hexadecimal: 0x2028614980
- Base-36: 1RG6Y64G
Squares and roots of 138116417920
- 138116417920 squared (1381164179202) is 19076144899052097126400
- 138116417920 cubed (1381164179203) is 2634728801179955658562293465088000
-
The
square root of 138116417920 is 371640.1726401493 -
The
cube root of 138116417920 is 5169.1020008733
Scales and comparisons
How big is 138116417920?- 138,116,417,920 seconds is equal to 4,391 years, 35 weeks, 15 hours, 38 minutes, 40 seconds.
-
To count from 1 to 138,116,417,920 would take you about eight thousand, seven hundred eighty-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 138116417920 cubic inches would be around 430.8 feet tall.
Recreational maths with 138116417920
- 138116417920 backwards is 029714611831
- The number of decimal digits it has is: 12
- The sum of 138116417920's digits is 43
- More coming soon!
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