132981768000

Names of 132981768000

• Cardinal: 132981768000 can be written as One hundred thirty-two billion, nine hundred eighty-one million, seven hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.32981768 × 10¹¹

Factors of 132981768000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 777

Divisors of 132981768000

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 32 36 40 45 46 48 50 60 64 69 72 75 80 90 92 96 100 115 120 125 131 138 144 150 160 180 184 192 200 207 225 230 240 250 262 276 288 300 320 345 360 368 375 393 400 414 450 460 480 500 524 552 575 576 600 613 655 690 720 736 750 786 800 828 900 920 960 1000 1035 1048 1104 1125 1150 1179 1200 1226 1310 1380 1440 1472 1500 1572 1600 1656 1725 1800 1839 1840 1965 2000 2070 2096 2208 2250 2300 2358 2400 2452 2620 2760 2875 2880 3000 3013 3065 3144 3275 3312 3450 3600 3678 3680 3930 4000 4140 4192 4416 4500 4600 4716 4800 4904 5175 5240 5517 5520 5750 5895 6000 6026 6130 6288 6550 6624 6900 7200 7356 7360 7860 8000 8280 8384 8625 9000 9039 9195 9200 9432 9808 9825 10350 10480 11034 11040 11500 11790 12000 12052 12260 12576 13100 13248 13800 14099 14400 14712 15065 15325 15720 16375 16560 17250 18000 18078 18390 18400 18864 19616 19650 20700 20960 22068 22080 23000 23580 24000 24104 24520 25152 25875 26200 27117 27585 27600 28198 29424 29475 30130 30650 31440 32750 33120 34500 36000 36156 36780 36800 37728 39232 39300 41400 41920 42297 44136 45195 45975 46000 47160 48208 49040 49125 51750 52400 54234 55170 55200 56396 58848 58950 60260 61300 62880 65500 66240 69000 70495 72000 72312 73560 75325 75456 76625 78600 80303 82800 84594 88272 90390 91950 92000 94320 96416 98080 98250 103500 104800 108468 110340 110400 112792 117696 117900 120520 122600 125760 126891 131000 135585 137925 138000 140990 144624 147120 147375 150650 153250 157200 160606 165600 169188 176544 180780 183900 184000 188640 192832 196160 196500 207000 209600 211485 216936 220680 225584 225975 229875 235800 240909 241040 245200 253782 262000 271170 275850 276000 281980 289248 294240 294750 301300 306500 314400 321212 331200 338376 352475 353088 361560 367800 376625 377280 393000 401515 414000 422970 433872 441360 451168 451950 459750 471600 481818 482080 490400 507564 524000 542340 551700 552000 563960 578496 588480 589500 602600 613000 628800 634455 642424 676752 677925 689625 704950 722727 723120 735600 753250 786000 803030 828000 845940 867744 882720 902336 903900 919500 943200 963636 964160 980800 1015128 1048000 1057425 1084680 1103400 1127920 1129875 1179000 1204545 1205200 1226000 1268910 1284848 1353504 1355850 1379250 1409900 1445454 1446240 1471200 1506500 1572000 1606060 1656000 1691880 1735488 1762375 1765440 1807800 1839000 1846969 1886400 1927272 2007575 2030256 2114850 2169360 2206800 2255840 2259750 2358000 2409090 2410400 2452000 2537820 2569696 2707008 2711700 2758500 2819800 2890908 2892480 2942400 3013000 3144000 3172275 3212120 3383760 3389625 3524750 3613635 3615600 3678000 3693938 3854544 4015150 4060512 4229700 4338720 4413600 4511680 4519500 4716000 4818180 4820800 4904000 5075640 5139392 5287125 5423400 5517000 5540907 5639600 5781816 6022725 6026000 6344550 6424240 6767520 6779250 7049500 7227270 7231200 7356000 7387876 7709088 8030300 8121024 8459400 8677440 8827200 9039000 9234845 9432000 9636360 10037875 10151280 10574250 10846800 11034000 11081814 11279200 11563632 12045450 12052000 12689100 12848480 13535040 13558500 14099000 14454540 14462400 14712000 14775752 15418176 15861375 16060600 16622721 16918800 18068175 18078000 18469690 19272720 20075750 20302560 21148500 21693600 22068000 22163628 22558400 23127264 24090900 24104000 25378200 25696960 27117000 27704535 28198000 28909080 29551504 30113625 31722750 32121200 33245442 33837600 36136350 36156000 36939380 38545440 40151500 40605120 42297000 43387200 44136000 44327256 46174225 46254528 48181800 50756400 54234000 55409070 56396000 57818160 59103008 60227250 63445500 64242400 66490884 67675200 72272700 72312000 73878760 77090880 80303000 83113605 84594000 88654512 90340875 92348450 96363600 101512800 108468000 110818140 112792000 115636320 118206016 120454500 126891000 128484800 132981768 138522675 144545400 147757520 160606000 166227210 169188000 177309024 180681750 184696900 192727200 203025600 216936000 221636280 230871125 231272640 240909000 253782000 265963536 277045350 289090800 295515040 321212000 332454420 338376000 354618048 361363500 369393800 385454400 415568025 443272560 461742250 481818000 507564000 531927072 554090700 578181600 591030080 642424000 664908840 692613375 722727000 738787600 831136050 886545120 923484500 963636000 1015128000 1063854144 1108181400 1156363200 1329817680 1385226750 1445454000 1477575200 1662272100 1773090240 1846969000 1927272000 2077840125 2216362800 2659635360 2770453500 2890908000 2955150400 3324544200 3693938000 4155680250 4432725600 5319270720 5540907000 5781816000 6649088400 7387876000 8311360500 8865451200 11081814000 13298176800 14775752000 16622721000 22163628000 26596353600 33245442000 44327256000 66490884000 132981768000
• Sum of all divisors σ(n): 500985568512
• Sum of proper divisors (its aliquot sum) s(n): 368003800512
• 132981768000 is an abundant number, because the sum of its proper divisors (368003800512) is greater than itself. Its abundance is 235022032512

Bases of 132981768000

• Binary: 1111011110110010101001011111101000000₂
• Hexadecimal: 0x1EF654BF40
• Base-36: 1P39WSW0

Squares and roots of 132981768000

• 132981768000 squared (132981768000²) is 17684150620405824000000
• 132981768000 cubed (132981768000³) is 2351669615079863353016832000000000
• The square root of 132981768000 is 364666.6532602069
• The cube root of 132981768000 is 5104.2354665463

Scales and comparisons

• 132,981,768,000 seconds is equal to 4,228 years, 21 weeks, 1 day, 20 hours.
• To count from 1 to 132,981,768,000 would take you about eight thousand, four hundred fifty-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 132981768000 cubic inches would be around 425.4 feet tall.

Recreational maths with 132981768000

• 132981768000 backwards is 000867189231
• 132981768000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 132981768000's digits is 45
• More coming soon!