13438458507536640
13,438,458,507,536,640 is an even composite number composed of six prime numbers multiplied together.
13438458507536640 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 13438458507536640:
28 × 33 × 5 × 31 × 16111 × 778559
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 31 × 16111 × 778559)See below for interesting mathematical facts about the number 13438458507536640 from the Numbermatics database.
Names of 13438458507536640
- Cardinal: 13438458507536640 can be written as Thirteen quadrillion, four hundred thirty-eight trillion, four hundred fifty-eight billion, five hundred seven million, five hundred thirty-six thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.343845850753664 × 1016
Factors of 13438458507536640
Divisors of 13438458507536640
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 62 64 72 80 90 93 96 108 120 124 128 135 144 155 160 180 186 192 216 240 248 256 270 279 288 310 320 360 372 384 432 465 480 496 540 558 576 620 640 720 744 768 837 864 930 960 992 1080 1116 1152 1240 1280 1395 1440 1488 1674 1728 1860 1920 1984 2160 2232 2304 2480 2790 2880 2976 3348 3456 3720 3840 3968 4185 4320 4464 4960 5580 5760 5952 6696 6912 7440 7936 8370 8640 8928 9920 11160 11520 11904 13392 14880 16111 16740 17280 17856 19840 22320 23808 26784 29760 32222 33480 34560 35712 39680 44640 48333 53568 59520 64444 66960 71424 80555 89280 96666 107136 119040 128888 133920 144999 161110 178560 193332 214272 241665 257776 267840 289998 322220 357120 386664 434997 483330 499441 515552 535680 579996 644440 724995 773328 778559 869994 966660 998882 1031104 1071360 1159992 1288880 1449990 1498323 1546656 1557118 1739988 1933320 1997764 2062208 2174985 2319984 2335677 2497205 2577760 2899980 2996646 3093312 3114236 3479976 3866640 3892795 3995528 4124416 4349970 4494969 4639968 4671354 4994410 5155520 5799960 5993292 6186624 6228472 6959952 7007031 7491615 7733280 7785590 7991056 8699940 8989938 9279936 9342708 9988820 10311040 11599920 11678385 11986584 12373248 12456944 13484907 13919904 14014062 14983230 15466560 15571180 15982112 17399880 17979876 18559872 18685416 19977640 20622080 21021093 22474845 23199840 23356770 23973168 24135329 24913888 26969814 27839808 28028124 29966460 30933120 31142360 31964224 34799760 35035155 35959752 37119744 37370832 39955280 42042186 44949690 46399680 46713540 47946336 48270658 49827776 53939628 55679616 56056248 59932920 61866240 62284720 63928448 67424535 69599520 70070310 71919504 72405987 74741664 79910560 84084372 89899380 92799360 93427080 95892672 96541316 99655552 105105465 107879256 111359232 112112496 119865840 120676645 124569440 127856896 134849070 139199040 140140620 143839008 144811974 149483328 159821120 168168744 179798760 185598720 186854160 191785344 193082632 199311104 210210930 215758512 217217961 224224992 239731680 241353290 249138880 269698140 278398080 280281240 287678016 289623948 298966656 319642240 336337488 359597520 362029935 373708320 383570688 386165264 420421860 431517024 434435922 448449984 479463360 482706580 498277760 539396280 556796160 560562480 575356032 579247896 597933312 639284480 651653883 672674976 719195040 724059870 747416640 772330528 840843720 863034048 868871844 896899968 958926720 965413160 996555520 1078792560 1086089805 1121124960 1150712064 1158495792 1303307766 1345349952 1438390080 1448119740 1494833280 1544661056 1681687440 1726068096 1737743688 1793799936 1917853440 1930826320 2157585120 2172179610 2242249920 2316991584 2606615532 2690699904 2876780160 2896239480 2989666560 3089322112 3258269415 3363374880 3452136192 3475487376 3861652640 4315170240 4344359220 4484499840 4633983168 5213231064 5381399808 5753560320 5792478960 6178644224 6516538830 6726749760 6950974752 7723305280 8630340480 8688718440 8968999680 9267966336 10426462128 11584957920 12543364049 13033077660 13453499520 13901949504 15446610560 17260680960 17377436880 18535932672 20852924256 23169915840 25086728098 26066155320 26906999040 27803899008 30893221120 34754873760 37630092147 41705848512 46339831680 50173456196 52132310640 55607798016 62716820245 69509747520 75260184294 83411697024 92679663360 100346912392 104264621280 112890276441 125433640490 139019495040 150520368588 166823394048 188150460735 200693824784 208529242560 225780552882 250867280980 278038990080 301040737176 338670829323 376300921470 388844285519 401387649568 417058485120 451561105764 501734561960 564451382205 602081474352 677341658646 752601842940 777688571038 802775299136 834116970240 903122211528 1003469123920 1128902764410 1166532856557 1204162948704 1354683317292 1505203685880 1555377142076 1605550598272 1693354146615 1806244423056 1944221427595 2006938247840 2257805528820 2333065713114 2408325897408 2709366634584 3010407371760 3110754284152 3211101196544 3386708293230 3499598569671 3612488846112 3888442855190 4013876495680 4515611057640 4666131426228 4816651794816 5418733269168 5832664282785 6020814743520 6221508568304 6773416586460 6999197139342 7224977692224 7776885710380 8027752991360 9031222115280 9332262852456 9633303589632 10498795709013 10837466538336 11665328565570 12041629487040 12443017136608 13546833172920 13998394278684 14449955384448 15553771420760 16055505982720 17497992848355 18062444230560 18664525704912 20997591418026 21674933076672 23330657131140 24083258974080 24886034273216 27093666345840 27996788557368 28899910768896 31107542841520 34995985696710 36124888461120 37329051409824 41995182836052 43349866153344 46661314262280 48166517948160 49772068546432 52493978545065 54187332691680 55993577114736 62215085683040 69991971393420 72249776922240 74658102819648 83990365672104 86699732306688 93322628524560 99544137092864 104987957090130 108374665383360 111987154229472 124430171366080 139983942786840 144499553844480 149316205639296 167980731344208 186645257049120 209975914180260 216749330766720 223974308458944 248860342732160 279967885573680 298632411278592 335961462688416 373290514098240 419951828360520 433498661533440 447948616917888 497720685464320 559935771147360 671922925376832 746581028196480 839903656721040 895897233835776 1119871542294720 1343845850753664 1493162056392960 1679807313442080 2239743084589440 2687691701507328 3359614626884160 4479486169178880 6719229253768320 13438458507536640
- Sum of all divisors σ(n): 49229300013465600
- Sum of proper divisors (its aliquot sum) s(n): 35790841505928960
- 13438458507536640 is an abundant number, because the sum of its proper divisors (35790841505928960) is greater than itself. Its abundance is 22352382998392320
Bases of 13438458507536640
- Binary: 1011111011111000110100111100011010101110101001000000002
- Hexadecimal: 0x2FBE34F1ABA900
- Base-36: 3OBJAM0O5C0
Squares and roots of 13438458507536640
- 13438458507536640 squared (134384585075366402) is 180592167058783897795680942489600
- 13438458507536640 cubed (134384585075366403) is 2426880343805592620937412900370217100004818944000
-
The
square root of 13438458507536640 is 115924365.4610049613 -
The
cube root of 13438458507536640 is 237747.7879704345
Scales and comparisons
How big is 13438458507536640?- 13,438,458,507,536,640 seconds is equal to 427,301,412 years, 34 weeks, 1 day, 14 hours, 24 minutes.
-
To count from 1 to 13,438,458,507,536,640 would take you about one billion, two hundred eighty-one million, nine hundred four thousand, two hundred thirty-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 13438458507536640 cubic inches would be around 19812.3 feet tall.
Recreational maths with 13438458507536640
- 13438458507536640 backwards is 04663570585483431
- 13438458507536640 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13438458507536640's digits is 72
- More coming soon!
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