138322003968
138,322,003,968 is an even composite number composed of five prime numbers multiplied together.
138322003968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138322003968:
211 × 33 × 19 × 312 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 31 × 31 × 137)See below for interesting mathematical facts about the number 138322003968 from the Numbermatics database.
Names of 138322003968
- Cardinal: 138322003968 can be written as One hundred thirty-eight billion, three hundred twenty-two million, three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38322003968 × 1011
Factors of 138322003968
Divisors of 138322003968
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 31 32 36 38 48 54 57 62 64 72 76 93 96 108 114 124 128 137 144 152 171 186 192 216 228 248 256 274 279 288 304 342 372 384 411 432 456 496 512 513 548 558 576 589 608 684 744 768 822 837 864 912 961 992 1024 1026 1096 1116 1152 1178 1216 1233 1368 1488 1536 1644 1674 1728 1767 1824 1922 1984 2048 2052 2192 2232 2304 2356 2432 2466 2603 2736 2883 2976 3072 3288 3348 3456 3534 3648 3699 3844 3968 4104 4247 4384 4464 4608 4712 4864 4932 5206 5301 5472 5766 5952 6144 6576 6696 6912 7068 7296 7398 7688 7809 7936 8208 8494 8649 8768 8928 9216 9424 9728 9864 10412 10602 10944 11532 11904 12741 13152 13392 13824 14136 14592 14796 15376 15618 15872 15903 16416 16988 17298 17536 17856 18259 18432 18848 19456 19728 20824 21204 21888 23064 23427 23808 25482 25947 26304 26784 27648 28272 29184 29592 30752 31236 31744 31806 32832 33976 34596 35072 35712 36518 37696 38223 38912 39456 41648 42408 43776 46128 46854 47616 50964 51894 52608 53568 54777 55296 56544 58368 59184 61504 62472 63488 63612 65664 67952 69192 70144 70281 71424 73036 75392 76446 78912 80693 83296 84816 87552 92256 93708 95232 101928 103788 105216 107136 109554 113088 114669 116736 118368 123008 124944 127224 131328 131657 135904 138384 140288 140562 142848 146072 150784 152892 157824 161386 164331 166592 169632 175104 184512 187416 190464 203856 207576 210432 214272 219108 226176 229338 236736 242079 246016 249888 254448 262656 263314 271808 276768 280576 281124 285696 292144 301568 305784 315648 322772 328662 333184 339264 350208 369024 374832 394971 407712 415152 420864 428544 438216 452352 458676 473472 484158 492032 492993 499776 508896 525312 526628 543616 553536 562248 571392 584288 603136 611568 631296 645544 657324 666368 678528 726237 738048 749664 789942 815424 830304 841728 857088 876432 904704 917352 946944 968316 984064 985986 999552 1017792 1050624 1053256 1087232 1107072 1124496 1168576 1184913 1206272 1223136 1262592 1291088 1314648 1332736 1357056 1452474 1476096 1499328 1579884 1630848 1660608 1714176 1752864 1809408 1834704 1893888 1936632 1968128 1971972 1999104 2035584 2106512 2174464 2178711 2214144 2248992 2337152 2369826 2446272 2501483 2525184 2582176 2629296 2665472 2714112 2904948 2952192 2998656 3159768 3261696 3321216 3505728 3554739 3618816 3669408 3787776 3873264 3943944 3998208 4071168 4213024 4348928 4357422 4428288 4497984 4674304 4739652 4892544 5002966 5164352 5258592 5330944 5428224 5809896 5904384 5997312 6319536 6523392 6642432 7011456 7109478 7338816 7504449 7575552 7746528 7887888 7996416 8142336 8426048 8697856 8714844 8856576 8995968 9348608 9479304 9785088 10005932 10328704 10517184 10856448 11619792 11994624 12639072 13046784 13284864 14022912 14218956 14677632 15008898 15493056 15775776 15992832 16284672 16852096 17429688 17713152 17991936 18697216 18958608 19570176 20011864 20657408 21034368 22513347 23239584 23989248 25278144 26093568 26569728 28045824 28437912 29355264 30017796 30986112 31551552 32569344 33704192 34859376 35983872 37394432 37917216 39140352 40023728 41314816 42068736 45026694 46479168 47978496 50556288 53139456 56091648 56875824 58710528 60035592 61972224 63103104 67408384 67540041 69718752 71967744 75834432 78280704 80047456 82629632 84137472 90053388 92958336 101112576 112183296 113751648 117421056 120071184 123944448 126206208 134816768 135080082 139437504 143935488 151668864 160094912 165259264 168274944 180106776 185916672 202225152 227503296 234842112 240142368 247888896 252412416 269633536 270160164 278875008 303337728 320189824 336549888 360213552 371833344 404450304 455006592 480284736 495777792 504824832 540320328 557750016 606675456 640379648 720427104 743666688 808900608 910013184 960569472 1009649664 1080640656 1115500032 1213350912 1280759296 1440854208 1487333376 1820026368 1921138944 2161281312 2231000064 2426701824 2561518592 2881708416 3640052736 3842277888 4322562624 4462000128 5123037184 5763416832 7280105472 7684555776 8645125248 11526833664 15369111552 17290250496 23053667328 34580500992 46107334656 69161001984 138322003968
- Sum of all divisors σ(n): 448923384000
- Sum of proper divisors (its aliquot sum) s(n): 310601380032
- 138322003968 is an abundant number, because the sum of its proper divisors (310601380032) is greater than itself. Its abundance is 172279376064
Bases of 138322003968
- Binary: 100000001101001010001001001000000000002
- Hexadecimal: 0x2034A24800
- Base-36: 1RJLCLC0
Squares and roots of 138322003968
- 138322003968 squared (1383220039682) is 19132976781723407745024
- 138322003968 cubed (1383220039683) is 2646511690321197075985691660255232
-
The
square root of 138322003968 is 371916.6626651729 -
The
cube root of 138322003968 is 5171.6654625053
Scales and comparisons
How big is 138322003968?- 138,322,003,968 seconds is equal to 4,398 years, 11 weeks, 2 hours, 52 minutes, 48 seconds.
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To count from 1 to 138,322,003,968 would take you about eight thousand, seven hundred ninety-six 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 138322003968 cubic inches would be around 431 feet tall.
Recreational maths with 138322003968
- 138322003968 backwards is 869300223831
- The number of decimal digits it has is: 12
- The sum of 138322003968's digits is 45
- More coming soon!
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