137416897200128

Names of 137416897200128

• Cardinal: 137416897200128 can be written as One hundred thirty-seven trillion, four hundred sixteen billion, eight hundred ninety-seven million, two hundred thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37416897200128 × 10¹⁴

Factors of 137416897200128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 1074

Divisors of 137416897200128

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 31 32 49 52 56 62 64 91 98 104 112 124 128 169 182 196 208 217 224 248 256 338 364 392 403 416 434 448 496 512 637 676 728 784 806 832 868 896 992 1021 1024 1183 1274 1352 1456 1519 1568 1612 1664 1736 1792 1984 2042 2048 2366 2548 2704 2821 2912 3038 3136 3224 3328 3472 3584 3968 4084 4096 4732 5096 5239 5408 5642 5824 6076 6272 6448 6656 6944 7147 7168 7936 8168 8192 8281 9464 10192 10478 10816 11284 11648 12152 12544 12896 13273 13312 13888 14294 14336 15872 16336 16384 16562 18928 19747 20384 20956 21632 22568 23296 24304 25088 25792 26546 26624 27776 28588 28672 31651 31744 32672 32768 33124 36673 37856 39494 40768 41912 43264 45136 46592 48608 50029 50176 51584 53092 53248 55552 57176 57344 63302 63488 65344 65536 66248 73346 75712 78988 81536 83824 86528 90272 92911 93184 97216 100058 100352 103168 106184 106496 111104 114352 114688 126604 126976 130688 131072 132496 146692 151424 157976 163072 167648 172549 173056 180544 185822 186368 194432 200116 200704 206336 212368 212992 221557 222208 228704 229376 253208 253952 256711 261376 262144 264992 293384 302848 315952 326144 335296 345098 346112 361088 371644 372736 388864 400232 401408 411463 412672 424736 425984 443114 444416 457408 458752 506416 507904 513422 522752 524288 529984 586768 605696 631904 650377 652288 670592 690196 692224 722176 743288 745472 777728 800464 802816 822926 825344 849472 851968 886228 888832 914816 917504 1012832 1015808 1026844 1045504 1059968 1173536 1207843 1211392 1263808 1300754 1304576 1341184 1380392 1384448 1444352 1486576 1490944 1550899 1555456 1600928 1605632 1645852 1650688 1698944 1703936 1772456 1777664 1829632 1835008 2025664 2031616 2053688 2091008 2119936 2347072 2415686 2422784 2527616 2601508 2609152 2682368 2760784 2768896 2880241 2888704 2973152 2981888 3101798 3110912 3201856 3211264 3291704 3301376 3397888 3407872 3544912 3555328 3659264 3670016 4051328 4063232 4107376 4182016 4239872 4694144 4831372 4845568 5055232 5203016 5218304 5349019 5364736 5521568 5537792 5760482 5777408 5946304 5963776 6203596 6221824 6403712 6422528 6583408 6602752 6795776 6815744 7089824 7110656 7318528 8102656 8126464 8214752 8364032 8454901 8479744 9388288 9662744 9691136 10110464 10406032 10436608 10698038 10729472 11043136 11075584 11520964 11554816 11892608 11927552 12407192 12443648 12807424 12845056 13166816 13205504 13591552 14179648 14221312 14637056 16205312 16252928 16429504 16728064 16909802 16959488 18776576 19325488 19382272 20161687 20220928 20812064 20873216 21396076 21458944 22086272 22151168 23041928 23109632 23785216 23855104 24814384 24887296 25614848 25690112 26333632 26411008 27183104 28359296 28442624 29274112 32410624 32859008 33456128 33819604 33918976 37443133 37553152 38650976 38764544 40323374 40441856 41624128 41746432 42792152 42917888 44172544 44302336 46083856 46219264 47570432 47710208 49628768 49774592 51229696 52667264 52822016 54366208 56718592 56885248 58548224 64821248 65718016 66912256 67639208 67837952 74886266 75106304 77301952 77529088 80646748 80883712 83248256 83492864 85584304 85835776 88345088 88604672 92167712 92438528 95140864 99257536 99549184 102459392 105334528 105644032 108732416 113437184 113770496 117096448 129642496 131436032 133824512 135278416 135675904 149772532 150212608 154603904 155058176 161293496 161767424 166496512 166985728 171168608 171671552 176690176 184335424 184877056 190281728 198515072 199098368 204918784 210669056 211288064 217464832 226874368 234192896 259284992 262101931 262872064 267649024 270556832 271351808 299545064 300425216 309207808 310116352 322586992 323534848 332993024 333971456 342337216 343343104 353380352 368670848 369754112 380563456 397030144 398196736 409837568 421338112 434929664 453748736 468385792 518569984 524203862 525744128 535298048 541113664 542703616 599090128 600850432 618415616 620232704 645173984 647069696 665986048 684674432 686686208 706760704 737341696 739508224 761126912 794060288 796393472 819675136 842676224 869859328 907497472 936771584 1037139968 1048407724 1051488256 1082227328 1085407232 1198180256 1201700864 1236831232 1290347968 1294139392 1331972096 1369348864 1373372416 1413521408 1474683392 1479016448 1522253824 1588120576 1639350272 1685352448 1739718656 1814994944 1873543168 2074279936 2096815448 2102976512 2164454656 2170814464 2396360512 2403401728 2473662464 2580695936 2588278784 2663944192 2738697728 2746744832 2827042816 2949366784 3044507648 3176241152 3278700544 3370704896 3479437312 3629989888 3747086336 4148559872 4193630896 4205953024 4328909312 4341628928 4792721024 4806803456 4947324928 5161391872 5176557568 5327888384 5477395456 5654085632 5898733568 6089015296 6352482304 6557401088 6741409792 6958874624 7259979776 8297119744 8387261792 8411906048 8657818624 9585442048 9613606912 9894649856 10322783744 10353115136 10655776768 10954790912 11308171264 11797467136 12178030592 12704964608 13114802176 13482819584 14519959552 16594239488 16774523584 16823812096 17315637248 19170884096 19227213824 19789299712 20645567488 21311553536 21909581824 22616342528 23594934272 24356061184 25409929216 26229604352 26965639168 29039919104 33549047168 33647624192 34631274496 38341768192 39578599424 41291134976 42623107072 43819163648 45232685056 47189868544 48712122368 50819858432 53931278336 58079838208 67098094336 67295248384 69262548992 76683536384 79157198848 82582269952 85246214144 87638327296 90465370112 94379737088 101639716864 107862556672 116159676416 134196188672 134590496768 138525097984 153367072768 158314397696 165164539904 170492428288 175276654592 188759474176 203279433728 215725113344 268392377344 277050195968 306734145536 316628795392 330329079808 340984856576 350553309184 377518948352 406558867456 536784754688 554100391936 613468291072 633257590784 660658159616 701106618368 755037896704 813117734912 1073569509376 1108200783872 1226936582144 1321316319232 1402213236736 1510075793408 2147139018752 2216401567744 2453873164288 2642632638464 2804426473472 4294278037504 4432803135488 4907746328576 5285265276928 8588556075008 9815492657152 10570530553856 17177112150016 19630985314304 34354224300032 68708448600064 137416897200128
• Sum of all divisors σ(n): 357706077220800
• Sum of proper divisors (its aliquot sum) s(n): 220289180020672
• 137416897200128 is an abundant number, because the sum of its proper divisors (220289180020672) is greater than itself. Its abundance is 82872282820544

Bases of 137416897200128

• Binary: 11111001111101011011101010110000000000000000000₂
• Hexadecimal: 0x7CFADD580000
• Base-36: 1CPKG8LDKW

Squares and roots of 137416897200128

• 137416897200128 squared (137416897200128²) is 18883403636110546565683216384
• 137416897200128 cubed (137416897200128³) is 2594898736251926260917725743565891176497152
• The square root of 137416897200128 is 11722495.3486929565
• The cube root of 137416897200128 is 51603.6054508687

Scales and comparisons

• 137,416,897,200,128 seconds is equal to 4,369,432 years, 14 weeks, 1 day, 5 hours, 22 minutes, 8 seconds.
• To count from 1 to 137,416,897,200,128 would take you about ten million, nine hundred twenty-three thousand, five hundred eighty 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 137416897200128 cubic inches would be around 4300.3 feet tall.

Recreational maths with 137416897200128

• 137416897200128 backwards is 821002798614731
• The number of decimal digits it has is: 15
• The sum of 137416897200128's digits is 59
• More coming soon!