135756940800

Names of 135756940800

• Cardinal: 135756940800 can be written as One hundred thirty-five billion, seven hundred fifty-six million, nine hundred forty thousand, eight hundred.

Scientific notation

• Scientific notation: 1.357569408 × 10¹¹

Factors of 135756940800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 981

Divisors of 135756940800

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 75 78 80 85 96 100 102 104 120 128 130 136 150 156 160 170 192 195 200 204 208 221 240 255 256 260 272 289 300 312 320 325 340 384 390 400 408 416 425 442 480 510 512 520 544 578 600 624 640 650 663 680 768 780 800 816 832 850 867 884 941 960 975 1020 1040 1088 1105 1156 1200 1248 1275 1280 1300 1326 1360 1445 1536 1560 1600 1632 1664 1700 1734 1768 1882 1920 1950 2040 2080 2176 2210 2312 2400 2496 2550 2560 2600 2652 2720 2823 2890 3120 3200 3264 3315 3328 3400 3468 3536 3757 3764 3840 3900 4080 4160 4335 4352 4420 4624 4705 4800 4992 5100 5200 5304 5440 5525 5646 5780 6240 6400 6528 6630 6656 6800 6936 7072 7225 7514 7528 7680 7800 8160 8320 8670 8704 8840 9248 9410 9600 9984 10200 10400 10608 10880 11050 11271 11292 11560 12233 12480 12800 13056 13260 13600 13872 14115 14144 14450 15028 15056 15600 15997 16320 16575 16640 17340 17680 18496 18785 18820 19200 19968 20400 20800 21216 21675 21760 22100 22542 22584 23120 23525 24466 24960 26112 26520 27200 27744 28230 28288 28900 30056 30112 31200 31994 32640 33150 33280 34680 35360 36699 36992 37570 37640 38400 40800 41600 42432 43350 43520 44200 45084 45168 46240 47050 47991 48932 49920 53040 54400 55488 56355 56460 56576 57800 60112 60224 61165 62400 63988 65280 66300 69360 70575 70720 73398 73984 75140 75280 79985 81600 83200 84864 86700 88400 90168 90336 92480 93925 94100 95982 97864 99840 106080 108800 110976 112710 112920 113152 115600 120224 120448 122330 124800 127976 130560 132600 138720 141150 141440 146796 147968 150280 150560 159970 163200 166400 169728 173400 176800 180336 180672 183495 184960 187850 188200 191964 195728 207961 212160 217600 221952 225420 225840 231200 239955 240448 240896 244660 249600 255952 265200 271949 277440 281775 282300 282880 293592 300560 301120 305825 319940 326400 339456 346800 353600 360672 361344 366990 369920 375700 376400 383928 391456 399925 415922 424320 443904 450840 451680 462400 479910 480896 481792 489320 499200 511904 530400 543898 554880 563550 564600 565760 587184 601120 602240 611650 623883 639880 652800 693600 707200 721344 722688 733980 739840 751400 752800 767856 782912 799850 815847 831844 848640 901680 903360 917475 924800 959820 961792 978640 1023808 1039805 1060800 1087796 1109760 1127100 1129200 1174368 1199775 1202240 1204480 1223300 1247766 1279760 1359745 1387200 1414400 1442688 1445376 1467960 1502800 1505600 1535712 1565824 1599700 1631694 1663688 1697280 1803360 1806720 1834950 1849600 1919640 1923584 1957280 2047616 2079610 2121600 2175592 2219520 2254200 2258400 2348736 2399550 2404480 2408960 2446600 2495532 2559520 2719490 2774400 2828800 2885376 2935920 3005600 3011200 3071424 3119415 3131648 3199400 3263388 3327376 3535337 3606720 3613440 3669900 3699200 3839280 3914560 4079235 4095232 4159220 4243200 4351184 4508400 4516800 4697472 4799100 4808960 4893200 4991064 5119040 5199025 5438980 5548800 5770752 5871840 6011200 6022400 6142848 6238830 6263296 6398800 6526776 6654752 6798725 7070674 7213440 7226880 7339800 7678560 7829120 8158470 8190464 8318440 8486400 8702368 9016800 9033600 9394944 9598200 9617920 9786400 9982128 10238080 10398050 10606011 10877960 11097600 11743680 12022400 12044800 12285696 12477660 12797600 13053552 13309504 13597450 14141348 14426880 14679600 15357120 15597075 15658240 16316940 16636880 17404736 17676685 18033600 18067200 18789888 19196400 19572800 19964256 20396175 20476160 20796100 21212022 21755920 23487360 24044800 24571392 24955320 25595200 26107104 26619008 27194900 28282696 28853760 29359200 30714240 31194150 31316480 32633880 33273760 34809472 35353370 36067200 36134400 38392800 39145600 39928512 40792350 40952320 41592200 42424044 43511840 46974720 48089600 49910640 51190400 52214208 53030055 53238016 54389800 56565392 58718400 61428480 62388300 65267760 66547520 69618944 70706740 72134400 76785600 78291200 79857024 81584700 83184400 84848088 87023680 88383425 93949440 99821280 102380800 104428416 106060110 106476032 108779600 113130784 117436800 122856960 124776600 130535520 133095040 139237888 141413480 144268800 153571200 156582400 159714048 163169400 166368800 169696176 174047360 176766850 199642560 204761600 208856832 212120220 217559200 226261568 234873600 249553200 261071040 265150275 266190080 282826960 307142400 319428096 326338800 332737600 339392352 348094720 353533700 399285120 417713664 424240440 435118400 452523136 469747200 499106400 522142080 530300550 532380160 565653920 614284800 652677600 665475200 678784704 696189440 707067400 798570240 848480880 870236800 905046272 998212800 1044284160 1060601100 1131307840 1305355200 1330950400 1357569408 1414134800 1597140480 1696961760 1740473600 1810092544 1996425600 2088568320 2121202200 2262615680 2610710400 2661900800 2715138816 2828269600 3393923520 3480947200 3992851200 4242404400 4525231360 5221420800 5430277632 5656539200 6787847040 7985702400 8484808800 9050462720 10442841600 11313078400 13575694080 16969617600 22626156800 27151388160 33939235200 45252313600 67878470400 135756940800
• Sum of all divisors σ(n): 513587722032
• Sum of proper divisors (its aliquot sum) s(n): 377830781232
• 135756940800 is an abundant number, because the sum of its proper divisors (377830781232) is greater than itself. Its abundance is 242073840432

Bases of 135756940800

• Binary: 1111110011011101111101000011000000000₂
• Hexadecimal: 0x1F9BBE8600
• Base-36: 1QD66DXC

Squares and roots of 135756940800

• 135756940800 squared (135756940800²) is 18429946975374704640000
• 135756940800 cubed (135756940800³) is 2501993220483082835629965312000000
• The square root of 135756940800 is 368452.0875229231
• The cube root of 135756940800 is 5139.4977581099

Scales and comparisons

• 135,756,940,800 seconds is equal to 4,316 years, 33 weeks, 5 days, 21 hours, 20 minutes.
• To count from 1 to 135,756,940,800 would take you about eight thousand, six hundred thirty-three 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 135756940800 cubic inches would be around 428.3 feet tall.

Recreational maths with 135756940800

• 135756940800 backwards is 008049657531
• 135756940800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135756940800's digits is 48
• More coming soon!