138825117600

Names of 138825117600

• Cardinal: 138825117600 can be written as One hundred thirty-eight billion, eight hundred twenty-five million, one hundred seventeen thousand, six hundred.

Scientific notation

• Scientific notation: 1.388251176 × 10¹¹

Factors of 138825117600

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 296

Divisors of 138825117600

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 61 62 65 75 78 80 93 96 100 104 120 122 124 130 150 155 156 160 169 181 183 186 195 200 208 240 244 248 260 300 305 310 312 325 338 362 366 372 390 400 403 416 465 480 488 496 507 520 543 600 610 620 624 650 676 724 732 744 775 780 793 800 806 845 905 915 930 975 976 992 1014 1040 1086 1200 1209 1220 1240 1248 1300 1352 1448 1464 1488 1525 1550 1560 1586 1612 1690 1810 1830 1860 1891 1950 1952 2015 2028 2080 2172 2325 2353 2379 2400 2418 2440 2480 2535 2600 2704 2715 2896 2928 2976 3050 3100 3120 3172 3224 3380 3620 3660 3720 3782 3900 3965 4030 4056 4225 4344 4525 4575 4650 4706 4758 4836 4880 4960 5070 5200 5239 5408 5430 5611 5673 5792 5856 6045 6100 6200 6240 6344 6448 6760 7059 7240 7320 7440 7564 7800 7930 8060 8112 8450 8688 9050 9150 9300 9412 9455 9516 9672 9760 10075 10140 10309 10400 10478 10860 11041 11222 11346 11765 11895 12090 12200 12400 12675 12688 12896 13520 13575 14118 14480 14640 14880 15128 15600 15717 15860 16120 16224 16833 16900 17376 18100 18300 18600 18824 18910 19032 19344 19825 20150 20280 20618 20956 21720 22082 22444 22692 23530 23790 24180 24400 24583 24800 25350 25376 26195 27040 27150 28055 28236 28365 28960 29280 30225 30256 30589 30927 31200 31434 31720 32240 33123 33666 33800 35295 36200 36600 37200 37648 37820 38064 38688 39650 40300 40560 41236 41912 43440 44164 44888 45384 47060 47275 47580 48360 48800 49166 50700 51545 52390 54300 55205 56110 56472 56730 58825 59475 60450 60512 61178 61854 62868 63440 64480 66246 67332 67600 70590 72400 72943 73200 73749 74400 75296 75640 76128 78585 79300 80600 81120 82472 83824 84165 86880 88328 89776 90768 91767 94120 94550 95160 96720 98332 101400 103090 104780 108600 110410 112220 112944 113460 117650 118950 120900 122356 122915 123708 125736 126880 130975 132492 134664 135200 140275 141180 141825 143533 144800 145886 146400 147498 151280 152945 154635 157170 158600 161200 164944 165615 167648 168330 176475 176656 179552 181536 183534 188240 189100 190320 193440 196664 202800 206180 209560 217200 218829 220820 224440 225888 226920 235300 237900 241800 244712 245830 247416 251472 257725 261950 264984 269328 276025 280550 282360 283650 287066 291772 294996 302560 305890 309270 314340 317200 319579 322400 329888 331230 336660 342271 352950 353312 364715 367068 368745 376480 378200 380640 392925 393328 405600 412360 419120 420825 430599 434400 437658 441640 448880 453840 458835 470600 475800 483600 489424 491660 494832 502944 515450 523900 529968 538656 552050 561100 564720 567300 574132 583544 589992 611780 614575 618540 628680 634400 639158 662460 673320 684542 705900 717665 729430 734136 737490 756400 764725 773175 785850 786656 824720 828075 838240 841650 861198 875316 883280 897760 907680 917670 941200 948259 951600 958737 967200 978848 983320 989664 1026813 1030900 1047800 1059936 1094145 1104100 1122200 1129440 1134600 1148264 1167088 1179984 1223560 1229150 1237080 1257360 1278316 1324920 1346640 1369084 1411800 1435330 1458860 1468272 1474980 1512800 1529450 1546350 1571700 1597895 1649440 1656150 1683300 1711355 1722396 1750632 1766560 1823575 1835340 1843725 1865929 1882400 1896518 1903200 1917474 1966640 2053626 2061800 2095600 2152995 2188290 2208200 2244400 2269200 2294175 2296528 2334176 2359968 2447120 2458300 2474160 2514720 2556632 2649840 2693280 2738168 2823600 2844777 2870660 2917720 2936544 2949960 3058900 3092700 3143400 3195790 3312300 3366600 3422710 3444792 3501264 3588325 3647150 3670680 3687450 3731858 3793036 3834948 3933280 4107252 4123600 4191200 4305990 4376580 4416400 4449523 4488800 4538400 4588350 4593056 4741295 4793685 4894240 4916600 4948320 5113264 5134065 5299680 5470725 5476336 5597787 5647200 5689554 5741320 5835440 5899920 6117800 6185400 6286800 6391580 6624600 6733200 6845420 6889584 7002528 7176650 7294300 7341360 7374900 7463716 7586072 7669896 7989475 8214504 8247200 8556775 8611980 8753160 8832800 8899046 9176700 9329645 9482590 9587370 9833200 10226528 10268130 10764975 10941450 10952672 11195574 11379108 11482640 11670880 11799840 12235600 12370800 12573600 12783160 13249200 13348569 13466400 13690840 13779168 14223885 14353300 14588600 14682720 14749800 14927432 15172144 15339792 15978950 16429008 17113550 17223960 17506320 17798092 18353400 18659290 18965180 19174740 19666400 20536260 21529950 21882900 22247615 22391148 22758216 22965280 23706475 23968425 24471200 24741600 25566320 25670325 26498400 26697138 27381680 27988935 28447770 28706600 29177200 29499600 29854864 30344288 30679584 31957900 32858016 34227100 34447920 35012640 35596184 36706800 37318580 37930360 38349480 41072520 43059900 43765800 44495230 44782296 45516432 46648225 47412950 47936850 51132640 51340650 53394276 54763360 55977870 56895540 57413200 57843799 58354400 58999200 59709728 63915800 66742845 68454200 68895840 71119425 71192368 73413600 74637160 75860720 76698960 82145040 86119800 87531600 88990460 89564592 91032864 93296450 94825900 95873700 102681300 106788552 111238075 111955740 113791080 114826400 115687598 127831600 133485690 136908400 139944675 142238850 142384736 149274320 151721440 153397920 164290080 172239600 173531397 175063200 177980920 179129184 186592900 189651800 191747400 205362600 213577104 222476150 223911480 227582160 231375196 255663200 266971380 273816800 279889350 284477700 289218995 298548640 333714225 344479200 347062794 355961840 373185800 379303600 383494800 410725200 427154208 444952300 447822960 455164320 462750392 533942760 559778700 568955400 578437990 667428450 694125588 711923680 746371600 758607200 766989600 821450400 867656985 889904600 895645920 925500784 1067885520 1119557400 1137910800 1156875980 1334856900 1388251176 1446094975 1492743200 1735313970 1779809200 1851001568 2135771040 2239114800 2275821600 2313751960 2669713800 2776502352 2892189950 3470627940 3559618400 4338284925 4478229600 4627503920 5339427600 5553004704 5784379900 6941255880 8676569850 9255007840 10678855200 11568759800 13882511760 17353139700 23137519600 27765023520 34706279400 46275039200 69412558800 138825117600
• Sum of all divisors σ(n): 516209960448
• Sum of proper divisors (its aliquot sum) s(n): 377384842848
• 138825117600 is an abundant number, because the sum of its proper divisors (377384842848) is greater than itself. Its abundance is 238559725248

Bases of 138825117600

• Binary: 10000001010010100111110010111110100000₂
• Hexadecimal: 0x20529F2FA0
• Base-36: 1RRWW2AO

Squares and roots of 138825117600

• 138825117600 squared (138825117600²) is 19272413276653829760000
• 138825117600 cubed (138825117600³) is 2675495039567269250922379776000000
• The square root of 138825117600 is 372592.4282644509
• The cube root of 138825117600 is 5177.9281130289

Scales and comparisons

• 138,825,117,600 seconds is equal to 4,414 years, 10 weeks, 6 days, 4 hours, 40 minutes.
• To count from 1 to 138,825,117,600 would take you about eight thousand, eight hundred twenty-eight 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 138825117600 cubic inches would be around 431.5 feet tall.

Recreational maths with 138825117600

• 138825117600 backwards is 006711528831
• The number of decimal digits it has is: 12
• The sum of 138825117600's digits is 42
• More coming soon!