131968307200

Names of 131968307200

• Cardinal: 131968307200 can be written as One hundred thirty-one billion, nine hundred sixty-eight million, three hundred seven thousand, two hundred.

Scientific notation

• Scientific notation: 1.319683072 × 10¹¹

Factors of 131968307200

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 108

Divisors of 131968307200

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 25 32 34 40 41 43 50 64 68 80 82 85 86 100 128 136 160 164 170 172 200 205 215 256 272 320 328 340 344 400 410 425 430 512 544 640 656 680 688 697 731 800 820 850 860 1024 1025 1075 1088 1280 1312 1360 1376 1394 1462 1600 1640 1700 1720 1763 1849 2048 2050 2150 2176 2560 2624 2720 2752 2788 2924 3200 3280 3400 3440 3485 3526 3655 3698 4096 4100 4300 4352 5120 5248 5440 5504 5576 5848 6400 6560 6800 6880 6970 7052 7310 7396 8200 8600 8704 8815 9245 10240 10496 10880 11008 11152 11696 12800 13120 13600 13760 13940 14104 14620 14792 16400 17200 17408 17425 17630 18275 18490 20480 20992 21760 22016 22304 23392 25600 26240 27200 27520 27880 28208 29240 29584 29971 31433 32800 34400 34816 34850 35260 36550 36980 41984 43520 44032 44075 44608 46225 46784 51200 52480 54400 55040 55760 56416 58480 59168 59942 62866 65600 68800 69632 69700 70520 73100 73960 75809 83968 87040 88064 88150 89216 92450 93568 102400 104960 108800 110080 111520 112832 116960 118336 119884 125732 131200 137600 139400 141040 146200 147920 149855 151618 157165 167936 174080 176128 176300 178432 184900 187136 209920 217600 220160 223040 225664 233920 236672 239768 251464 262400 275200 278800 282080 292400 295840 299710 303236 314330 348160 352600 356864 369800 374272 379045 419840 435200 440320 446080 451328 467840 473344 479536 502928 524800 550400 557600 564160 584800 591680 599420 606472 628660 705200 713728 739600 748544 749275 758090 785825 839680 870400 880640 892160 902656 935680 946688 959072 1005856 1049600 1100800 1115200 1128320 1169600 1183360 1198840 1212944 1257320 1288753 1410400 1427456 1479200 1497088 1498550 1516180 1571650 1740800 1784320 1805312 1871360 1893376 1895225 1918144 2011712 2099200 2201600 2230400 2256640 2339200 2366720 2397680 2425888 2514640 2577506 2820800 2854912 2958400 2994176 2997100 3032360 3143300 3568640 3610624 3742720 3786752 3790450 3836288 4023424 4198400 4403200 4460800 4513280 4678400 4733440 4795360 4851776 5029280 5155012 5641600 5916800 5994200 6064720 6286600 6443765 7137280 7221248 7485440 7573504 7580900 7672576 8046848 8921600 9026560 9356800 9466880 9590720 9703552 10058560 10310024 11283200 11833600 11988400 12129440 12573200 12887530 14274560 14970880 15161800 15345152 16093696 17843200 18053120 18713600 18933760 19181440 19407104 20117120 20620048 22566400 23667200 23976800 24258880 25146400 25775060 30323600 30690304 32187392 32218825 35686400 36106240 37427200 37867520 38362880 38814208 40234240 41240096 45132800 47334400 47953600 48517760 50292800 51550120 60647200 61380608 64374784 64437650 71372800 74854400 76725760 77628416 80468480 82480192 90265600 94668800 95907200 97035520 100585600 103100240 121294400 122761216 128749568 128875300 153451520 155256832 160936960 164960384 180531200 189337600 191814400 194071040 201171200 206200480 242588800 257750600 306903040 310513664 321873920 329920768 383628800 388142080 402342400 412400960 485177600 515501200 613806080 643747840 659841536 767257600 776284160 804684800 824801920 970355200 1031002400 1319683072 1534515200 1552568320 1609369600 1649603840 1940710400 2062004800 2639366144 3069030400 3218739200 3299207680 3881420800 4124009600 5278732288 6598415360 7762841600 8248019200 13196830720 16496038400 26393661440 32992076800 65984153600 131968307200
• Sum of all divisors σ(n): 363388374468
• Sum of proper divisors (its aliquot sum) s(n): 231420067268
• 131968307200 is an abundant number, because the sum of its proper divisors (231420067268) is greater than itself. Its abundance is 99451760068

Bases of 131968307200

• Binary: 1111010111001111011001001000000000000₂
• Hexadecimal: 0x1EB9EC9000
• Base-36: 1OMIITJ4

Squares and roots of 131968307200

• 131968307200 squared (131968307200²) is 17415634105233571840000
• 131968307200 cubed (131968307200³) is 2298311751682261136334389248000000
• The square root of 131968307200 is 363274.4240928611
• The cube root of 131968307200 is 5091.2358409943

Scales and comparisons

• 131,968,307,200 seconds is equal to 4,196 years, 9 weeks, 3 days, 23 hours, 6 minutes, 40 seconds.
• To count from 1 to 131,968,307,200 would take you about eight thousand, three hundred ninety-two 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 131968307200 cubic inches would be around 424.3 feet tall.

Recreational maths with 131968307200

• 131968307200 backwards is 002703869131
• 131968307200 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 131968307200's digits is 40
• More coming soon!