138298509440
138,298,509,440 is an even composite number composed of six prime numbers multiplied together.
138298509440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138298509440:
27 × 5 × 72 × 13 × 312 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 31 × 31 × 353)See below for interesting mathematical facts about the number 138298509440 from the Numbermatics database.
Names of 138298509440
- Cardinal: 138298509440 can be written as One hundred thirty-eight billion, two hundred ninety-eight million, five hundred nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3829850944 × 1011
Factors of 138298509440
Divisors of 138298509440
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 31 32 35 40 49 52 56 62 64 65 70 80 91 98 104 112 124 128 130 140 155 160 182 196 208 217 224 245 248 260 280 310 320 353 364 392 403 416 434 448 455 490 496 520 560 620 637 640 706 728 784 806 832 868 896 910 961 980 992 1040 1085 1120 1240 1274 1412 1456 1519 1568 1612 1664 1736 1765 1820 1922 1960 1984 2015 2080 2170 2240 2471 2480 2548 2821 2824 2912 3038 3136 3185 3224 3472 3530 3640 3844 3920 3968 4030 4160 4340 4480 4589 4805 4942 4960 5096 5642 5648 5824 6076 6272 6370 6448 6727 6944 7060 7280 7595 7688 7840 8060 8320 8680 9178 9610 9884 9920 10192 10943 11284 11296 11648 12152 12355 12493 12740 12896 13454 13888 14105 14120 14560 15190 15376 15680 16120 17297 17360 18356 19220 19747 19768 19840 20384 21886 22568 22592 22945 24304 24710 24986 25480 25792 26908 27776 28210 28240 29120 30380 30752 31360 32123 32240 33635 34594 34720 36712 38440 39494 39536 40768 43772 45136 45184 45890 47089 48608 49420 49972 50960 51584 53816 54715 56420 56480 58240 60760 61504 62465 64246 64480 67270 69188 69440 73424 76601 76880 78988 79072 81536 86485 87451 87544 90272 91780 94178 97216 98735 98840 99944 101920 107632 109430 112840 112960 121520 123008 124930 128492 128960 134540 138376 138880 142259 146848 153202 153760 157976 158144 160615 172970 174902 175088 180544 183560 188356 194432 197470 197680 199888 203840 215264 218860 224861 225680 225920 235445 243040 249860 256984 257920 269080 276752 284518 293696 306404 307520 315952 316288 321230 339233 345940 349804 350176 361088 367120 376712 383005 394940 395360 399776 407680 430528 437255 437720 449722 451360 470890 486080 499720 513968 536207 538160 553504 569036 587392 612157 612808 615040 631904 642460 678466 691880 699608 700352 711295 734240 753424 766010 789880 790720 799552 861056 874510 875440 899444 902720 941780 972160 995813 999440 1027936 1072414 1076320 1107008 1124305 1138072 1224314 1225616 1263808 1284920 1356932 1383760 1399216 1400704 1422590 1468480 1506848 1532020 1579760 1581440 1599104 1696165 1749020 1750880 1798888 1805440 1883560 1991626 1998880 2055872 2144828 2152640 2214016 2248610 2276144 2374631 2448628 2451232 2527616 2569840 2681035 2713864 2767520 2798432 2845180 2936960 3013696 3060785 3064040 3159520 3392330 3498040 3501760 3597776 3767120 3983252 3997760 4111744 4289656 4305280 4410029 4497220 4552288 4749262 4897256 4902464 4979065 5139680 5362070 5427728 5535040 5596864 5690360 6027392 6121570 6128080 6319040 6784660 6970691 6996080 7003520 7195552 7534240 7966504 7995520 8579312 8820058 8994440 9104576 9498524 9794512 9804928 9958130 10279360 10724140 10855456 11070080 11193728 11380720 11873155 12243140 12256160 12638080 13569320 13941382 13992160 14391104 15068480 15933008 16622417 17158624 17640116 17988880 18209152 18997048 19589024 19916260 20558720 21448280 21710912 22050145 22761440 23746310 24486280 24512320 27138640 27882764 27984320 28782208 30136960 30870203 31866016 33244834 34317248 34853455 35280232 35977760 37994096 39178048 39832520 42896560 43421824 44100290 45522880 47492620 48972560 49024640 54277280 55765528 55968640 61740406 63732032 66489668 68634496 69706910 70560464 71955520 75988192 78356096 79665040 83112085 85793120 88200580 91045760 94985240 97945120 108554560 111531056 123480812 127464064 132979336 139413820 141120928 143911040 151976384 154351015 159330080 166224170 171586240 176401160 189970480 195890240 216091421 217109120 223062112 246961624 265958672 278827640 282241856 303952768 308702030 318660160 332448340 343172480 352802320 379940960 391780480 432182842 446124224 493923248 531917344 557655280 564483712 617404060 637320320 664896680 705604640 759881920 864365684 892248448 987846496 1063834688 1080457105 1115310560 1234808120 1329793360 1411209280 1519763840 1728731368 1975692992 2127669376 2160914210 2230621120 2469616240 2659586720 2822418560 3457462736 3951385984 4321828420 4461242240 4939232480 5319173440 6914925472 8643656840 9878464960 10638346880 13829850944 17287313680 19756929920 27659701888 34574627360 69149254720 138298509440
- Sum of all divisors σ(n): 429187270680
- Sum of proper divisors (its aliquot sum) s(n): 290888761240
- 138298509440 is an abundant number, because the sum of its proper divisors (290888761240) is greater than itself. Its abundance is 152590251800
Bases of 138298509440
- Binary: 100000001100110011101111001000100000002
- Hexadecimal: 0x20333BC880
- Base-36: 1RJ7D0U8
Squares and roots of 138298509440
- 138298509440 squared (1382985094402) is 19126477713325769113600
- 138298509440 cubed (1382985094403) is 2645163358590333493552470032384000
-
The
square root of 138298509440 is 371885.0755811531 -
The
cube root of 138298509440 is 5171.3726367905
Scales and comparisons
How big is 138298509440?- 138,298,509,440 seconds is equal to 4,397 years, 24 weeks, 1 day, 4 hours, 37 minutes, 20 seconds.
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To count from 1 to 138,298,509,440 would take you about eight thousand, seven hundred ninety-four 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 138298509440 cubic inches would be around 430.9 feet tall.
Recreational maths with 138298509440
- 138298509440 backwards is 044905892831
- The number of decimal digits it has is: 12
- The sum of 138298509440's digits is 53
- More coming soon!
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