13792434978816

Names of 13792434978816

• Cardinal: 13792434978816 can be written as Thirteen trillion, seven hundred ninety-two billion, four hundred thirty-four million, nine hundred seventy-eight thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.3792434978816 × 10¹³

Factors of 13792434978816

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 195

Divisors of 13792434978816

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 61 64 72 76 78 96 97 104 114 117 122 128 144 152 156 171 183 192 194 208 228 234 244 247 256 288 291 304 312 342 366 384 388 416 456 468 488 494 512 549 576 582 608 624 684 732 741 768 776 793 832 873 912 936 976 988 1024 1098 1152 1159 1164 1216 1248 1261 1368 1464 1482 1536 1552 1586 1664 1746 1824 1843 1872 1952 1976 2048 2196 2223 2304 2318 2328 2379 2432 2496 2522 2736 2928 2964 3072 3104 3172 3328 3477 3492 3648 3686 3744 3783 3904 3952 4096 4392 4446 4608 4636 4656 4758 4864 4992 5044 5472 5529 5856 5917 5928 6144 6208 6344 6656 6954 6984 7137 7296 7372 7488 7566 7808 7904 8192 8784 8892 9216 9272 9312 9516 9728 9984 10088 10431 10944 11058 11349 11712 11834 11856 12288 12416 12688 13312 13908 13968 14274 14592 14744 14976 15067 15132 15616 15808 16384 16587 17568 17751 17784 18432 18544 18624 19032 19456 19968 20176 20862 21888 22116 22698 23424 23668 23712 23959 24576 24832 25376 26624 27816 27936 28548 29184 29488 29952 30134 30264 31232 31616 32768 33174 35136 35502 35568 36864 37088 37248 38064 38912 39936 40352 41724 43776 44232 45201 45396 46848 47336 47424 47918 49152 49664 50752 53248 53253 55632 55872 57096 58368 58976 59904 60268 60528 62464 63232 65536 66348 70272 71004 71136 71877 73728 74176 74496 76128 76921 77824 79872 80704 83448 87552 88464 90402 90792 93696 94672 94848 95836 98304 99328 101504 106496 106506 111264 111744 112423 114192 116736 117952 119808 120536 121056 124928 126464 131072 132696 135603 140544 142008 142272 143754 147456 148352 148992 152256 153842 155648 159744 161408 166896 175104 176928 180804 181584 187392 189344 189696 191672 196608 198656 203008 212992 213012 215631 222528 223488 224846 228384 230763 233472 235904 239616 241072 242112 249856 252928 262144 265392 271206 281088 284016 284544 287508 294912 296704 297984 304512 307684 311296 319488 322816 333792 337269 350208 353856 361608 363168 374784 378688 379392 383344 393216 397312 406016 425984 426024 431262 445056 446976 449692 456768 461526 466944 471808 479232 482144 484224 499712 505856 524288 530784 542412 562176 568032 569088 575016 589824 593408 595968 609024 615368 622592 638976 645632 667584 674538 692289 700416 707712 723216 726336 749568 757376 758784 766688 786432 794624 812032 851968 852048 862524 890112 893952 899384 913536 923052 933888 943616 958464 964288 968448 999424 1011712 1011807 1048576 1061568 1084824 1124352 1136064 1138176 1150032 1179648 1186816 1191936 1218048 1230736 1245184 1277952 1291264 1335168 1349076 1384578 1400832 1415424 1446432 1452672 1461499 1499136 1514752 1517568 1533376 1572864 1589248 1624064 1703936 1704096 1725048 1780224 1787904 1798768 1827072 1846104 1867776 1887232 1916928 1928576 1936896 1998848 2023424 2023614 2123136 2169648 2248704 2272128 2276352 2300064 2359296 2373632 2383872 2436096 2461472 2490368 2555904 2582528 2670336 2698152 2769156 2801664 2830848 2892864 2905344 2922998 2998272 3029504 3035136 3066752 3145728 3178496 3248128 3407872 3408192 3450096 3560448 3575808 3597536 3654144 3692208 3735552 3774464 3833856 3857152 3873792 3997696 4046848 4047228 4246272 4339296 4384497 4497408 4544256 4552704 4600128 4718592 4747264 4767744 4872192 4922944 4980736 5111808 5165056 5340672 5396304 5538312 5603328 5661696 5785728 5810688 5845996 5996544 6059008 6070272 6133504 6356992 6496256 6815744 6816384 6900192 7120896 7151616 7195072 7308288 7384416 7471104 7548928 7667712 7714304 7747584 7995392 8093696 8094456 8492544 8678592 8768994 8994816 9088512 9105408 9200256 9437184 9494528 9535488 9744384 9845888 9961472 10223616 10330112 10681344 10792608 11076624 11206656 11323392 11571456 11621376 11691992 11993088 12118016 12140544 12267008 12713984 12992512 13153491 13631488 13632768 13800384 14241792 14303232 14390144 14616576 14768832 14942208 15097856 15335424 15428608 15495168 15990784 16187392 16188912 16985088 17357184 17537988 17989632 18177024 18210816 18400512 18989056 19070976 19488768 19691776 19922944 20447232 20660224 21362688 21585216 22153248 22413312 22646784 23142912 23242752 23383984 23986176 24236032 24281088 24534016 25427968 25985024 26306982 27265536 27600768 28483584 28606464 28780288 29233152 29537664 29884416 30195712 30670848 30857216 30990336 31981568 32374784 32377824 33970176 34714368 35075976 35979264 36354048 36421632 36801024 37978112 38141952 38977536 39383552 40894464 41320448 42725376 43170432 44306496 44826624 45293568 46285824 46485504 46767968 47972352 48472064 48562176 49068032 50855936 51970048 52613964 54531072 55201536 56967168 57212928 57560576 58466304 59075328 59768832 60391424 61341696 61714432 61980672 63963136 64749568 64755648 67940352 69428736 70151952 71958528 72708096 72843264 73602048 75956224 76283904 77955072 78767104 82640896 85450752 86340864 88612992 89653248 90587136 92571648 92971008 93535936 95944704 96944128 97124352 98136064 101711872 103940096 105227928 109062144 110403072 113934336 114425856 115121152 116932608 118150656 120782848 122683392 123428864 123961344 129499136 129511296 135880704 138857472 140303904 143917056 145416192 145686528 147204096 151912448 152567808 155910144 157534208 165281792 170901504 172681728 177225984 179306496 181174272 185143296 185942016 187071872 191889408 193888256 194248704 196272128 207880192 210455856 218124288 220806144 227868672 228851712 230242304 233865216 236301312 241565696 246857728 247922688 258998272 259022592 271761408 277714944 280607808 287834112 290832384 291373056 294408192 303824896 305135616 311820288 315068416 330563584 341803008 345363456 354451968 362348544 370286592 371884032 374143744 387776512 388497408 392544256 415760384 420911712 436248576 441612288 455737344 457703424 460484608 467730432 472602624 483131392 493715456 495845376 518045184 543522816 555429888 561215616 575668224 581664768 582746112 588816384 607649792 623640576 630136832 661127168 683606016 690726912 708903936 724697088 740573184 743768064 748287488 775553024 776994816 785088512 831520768 841823424 872497152 883224576 911474688 915406848 920969216 935460864 945205248 966262784 987430912 991690752 1036090368 1087045632 1110859776 1122431232 1163329536 1165492224 1177632768 1215299584 1247281152 1260273664 1322254336 1367212032 1381453824 1417807872 1449394176 1481146368 1487536128 1496574976 1551106048 1570177024 1683646848 1744994304 1766449152 1822949376 1841938432 1870921728 1890410496 1932525568 1974861824 1983381504 2072180736 2174091264 2221719552 2244862464 2326659072 2330984448 2355265536 2494562304 2520547328 2734424064 2762907648 2835615744 2898788352 2962292736 2975072256 2993149952 3102212096 3140354048 3367293696 3489988608 3532898304 3645898752 3683876864 3741843456 3780820992 3949723648 3966763008 4144361472 4348182528 4443439104 4489724928 4653318144 4710531072 5041094656 5468848128 5525815296 5671231488 5797576704 5924585472 5950144512 5986299904 6204424192 6280708096 6734587392 6979977216 7065796608 7367753728 7483686912 7561641984 7899447296 8288722944 8696365056 8886878208 8979449856 9306636288 9421062144 10082189312 10937696256 11051630592 11342462976 11849170944 11900289024 11972599808 12561416192 13469174784 13959954432 14131593216 14735507456 15123283968 15798894592 16577445888 17392730112 17773756416 17958899712 18613272576 18842124288 20164378624 22103261184 22684925952 23698341888 23945199616 25122832384 26938349568 27919908864 28263186432 29471014912 30246567936 33154891776 35547512832 35917799424 37684248576 40328757248 44206522368 45369851904 47396683776 47890399232 53876699136 55839817728 56526372864 58942029824 60493135872 66309783552 71095025664 71835598848 75368497152 80657514496 88413044736 90739703808 95780798464 107753398272 113052745728 117884059648 120986271744 132619567104 142190051328 143671197696 176826089472 181479407616 191561596928 215506796544 226105491456 241972543488 265239134208 287342395392 353652178944 362958815232 383123193856 431013593088 530478268416 574684790784 725917630464 766246387712 862027186176 1060956536832 1149369581568 1532492775424 1724054372352 2298739163136 3448108744704 4597478326272 6896217489408 13792434978816
• Sum of all divisors σ(n): 46381933692640
• Sum of proper divisors (its aliquot sum) s(n): 32589498713824
• 13792434978816 is an abundant number, because the sum of its proper divisors (32589498713824) is greater than itself. Its abundance is 18797063735008

Bases of 13792434978816

• Binary: 11001000101101001101001100000000000000000000₂
• Hexadecimal: 0xC8B4D300000
• Base-36: 4W05NOCG0

Squares and roots of 13792434978816

• 13792434978816 squared (13792434978816²) is 190231262644867114368761856
• 13792434978816 cubed (13792434978816³) is 2623752320967398690699848978571508842496
• The square root of 13792434978816 is 3713816.7669953775
• The cube root of 13792434978816 is 23981.7192845121

Scales and comparisons

• 13,792,434,978,816 seconds is equal to 438,556 years, 40 weeks, 2 hours, 33 minutes, 36 seconds.
• To count from 1 to 13,792,434,978,816 would take you about one million, ninety-six thousand, three hundred ninety-one 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 13792434978816 cubic inches would be around 1998.5 feet tall.

Recreational maths with 13792434978816

• 13792434978816 backwards is 61887943429731
• 13792434978816 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13792434978816's digits is 72
• More coming soon!