130985968928400

Names of 130985968928400

• Cardinal: 130985968928400 can be written as One hundred thirty trillion, nine hundred eighty-five billion, nine hundred sixty-eight million, nine hundred twenty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.309859689284 × 10¹⁴

Factors of 130985968928400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 14857201

Divisors of 130985968928400

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 36 40 45 48 50 60 62 72 75 79 80 90 93 100 120 124 144 150 155 158 180 186 200 225 237 240 248 279 300 310 316 360 372 395 400 450 465 474 496 558 600 620 632 711 720 744 775 790 900 930 948 1116 1185 1200 1240 1264 1395 1422 1488 1550 1580 1800 1860 1896 1975 2232 2325 2370 2449 2480 2790 2844 3100 3160 3555 3600 3720 3792 3950 4464 4650 4740 4898 5580 5688 5925 6200 6320 6975 7110 7347 7440 7900 9300 9480 9796 11160 11376 11850 12245 12400 13950 14220 14694 15800 17775 18600 18960 19592 22041 22320 23700 24490 27900 28440 29388 31600 35550 36735 37200 39184 44082 47400 48980 55800 56880 58776 61225 71100 73470 88164 94800 97960 110205 111600 117552 122450 142200 146940 176328 183675 195920 220410 244900 284400 293880 352656 367350 440820 489800 551025 587760 734700 881640 979600 1102050 1469400 1763280 2204100 2938800 4408200 8816400 14857081 29714162 44571243 59428324 74285405 89142486 118856648 133713729 148570810 178284972 222856215 237713296 267427458 297141620 356569944 371427025 445712430 460569511 534854916 594283240 668568645 713139888 742854050 891424860 921139022 1069709832 1114281075 1173709399 1188566480 1337137290 1381708533 1485708100 1782849720 1842278044 2139419664 2228562150 2302847555 2347418798 2674274580 2763417066 2971416200 3342843225 3521128197 3565699440 3684556088 4145125599 4457124300 4605695110 4694837596 5348549160 5526834132 5868546995 5942832400 6685686450 6908542665 7042256394 7369112176 8290251198 8914248600 9211390220 9389675192 10563384591 10697098320 11053668264 11514237775 11737093990 13371372900 13817085330 14084512788 16580502396 17605640985 17828497200 18422780440 18779350384 20725627995 21126769182 22107336528 23028475550 23474187980 26742745800 27634170660 28169025576 29342734975 33161004792 34542713325 35211281970 36384991369 36845560880 41451255990 42253538364 46056951100 46948375960 52816922955 53485491600 55268341320 56338051152 58685469950 66322009584 69085426650 70422563940 72769982738 82902511980 84507076728 88028204925 92113902200 93896751920 103628139975 105633845910 109154974107 110536682640 117370939900 138170853300 140845127880 145539965476 165805023960 169014153456 176056409850 181924956845 184227804400 207256279950 211267691820 218309948214 234741879800 264084614775 276341706600 281690255760 291079930952 327464922321 331610047920 352112819700 363849913690 414512559900 422535383640 436619896428 469483759600 528169229550 545774870535 552683413200 582159861904 654929844642 704225639400 727699827380 829025119800 845070767280 873239792856 909624784225 1056338459100 1091549741070 1309859689284 1408451278800 1455399654760 1637324611605 1658050239600 1746479585712 1819249568450 2112676918200 2183099482140 2619719378568 2728874352675 2910799309520 3274649223210 3638499136900 4225353836400 4366198964280 5239438757136 5457748705350 6549298446420 7276998273800 8186623058025 8732397928560 10915497410700 13098596892840 14553996547600 16373246116050 21830994821400 26197193785680 32746492232100 43661989642800 65492984464200 130985968928400
• Sum of all divisors σ(n): 475160385090560
• Sum of proper divisors (its aliquot sum) s(n): 344174416162160
• 130985968928400 is an abundant number, because the sum of its proper divisors (344174416162160) is greater than itself. Its abundance is 213188447233760

Bases of 130985968928400

• Binary: 11101110010000110001100001001100000011010010000₂
• Hexadecimal: 0x77218C260690
• Base-36: 1AFI4FXXG0

Squares and roots of 130985968928400

• 130985968928400 squared (130985968928400²) is 17157324056111770244326560000
• 130985968928400 cubed (130985968928400³) is 2247368715708346195340878464542858304000000
• The square root of 130985968928400 is 11444910.1756370285
• The cube root of 130985968928400 is 50785.7174761769

Scales and comparisons

• 130,985,968,928,400 seconds is equal to 4,164,948 years, 33 weeks, 4 days, 1 hour.
• To count from 1 to 130,985,968,928,400 would take you about ten million, four hundred twelve thousand, three hundred seventy-one 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 130985968928400 cubic inches would be around 4232.1 feet tall.

Recreational maths with 130985968928400

• 130985968928400 backwards is 004829869589031
• 130985968928400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 130985968928400's digits is 72
• More coming soon!