135135398400

Names of 135135398400

• Cardinal: 135135398400 can be written as One hundred thirty-five billion, one hundred thirty-five million, three hundred ninety-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.351353984 × 10¹¹

Factors of 135135398400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1963

Divisors of 135135398400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 61 62 64 75 80 93 96 100 120 122 124 128 150 155 160 183 186 192 200 240 244 248 256 300 305 310 320 366 372 384 400 465 480 488 496 512 600 610 620 640 732 744 768 775 800 915 930 960 976 992 1200 1220 1240 1280 1464 1488 1525 1536 1550 1600 1830 1860 1861 1891 1920 1952 1984 2325 2400 2440 2480 2560 2928 2976 3050 3100 3200 3660 3720 3722 3782 3840 3904 3968 4575 4650 4800 4880 4960 5583 5673 5856 5952 6100 6200 6400 7320 7440 7444 7564 7680 7808 7936 9150 9300 9305 9455 9600 9760 9920 11166 11346 11712 11904 12200 12400 12800 14640 14880 14888 15128 15616 15872 18300 18600 18610 18910 19200 19520 19840 22332 22692 23424 23808 24400 24800 27915 28365 29280 29760 29776 30256 31232 36600 37200 37220 37820 38400 39040 39680 44664 45384 46525 46848 47275 47616 48800 49600 55830 56730 57691 58560 59520 59552 60512 73200 74400 74440 75640 78080 79360 89328 90768 93050 93696 94550 97600 99200 111660 113460 113521 115382 117120 119040 119104 121024 139575 141825 146400 148800 148880 151280 156160 173073 178656 181536 186100 189100 195200 198400 223320 226920 227042 230764 234240 238080 238208 242048 279150 283650 288455 292800 297600 297760 302560 340563 346146 357312 363072 372200 378200 390400 396800 446640 453840 454084 461528 468480 476416 484096 558300 567300 567605 576910 585600 595200 595520 605120 681126 692292 714624 726144 744400 756400 780800 865365 893280 907680 908168 923056 952832 968192 1116600 1134600 1135210 1153820 1171200 1190400 1191040 1210240 1362252 1384584 1429248 1442275 1452288 1488800 1512800 1702815 1730730 1786560 1815360 1816336 1846112 2233200 2269200 2270420 2307640 2342400 2382080 2420480 2724504 2769168 2838025 2858496 2884550 2904576 2977600 3025600 3405630 3461460 3519151 3573120 3630720 3632672 3692224 4326825 4466400 4538400 4540840 4615280 4764160 4840960 5449008 5538336 5676050 5769100 5955200 6051200 6811260 6922920 7038302 7146240 7261440 7265344 7384448 8514075 8653650 8932800 9076800 9081680 9230560 10557453 10898016 11076672 11352100 11538200 11910400 12102400 13622520 13845840 14076604 14292480 14522880 14530688 14768896 17028150 17307300 17595755 17865600 18153600 18163360 18461120 21114906 21796032 22153344 22704200 23076400 23820800 24204800 27245040 27691680 28153208 29061376 29537792 34056300 34614600 35191510 35731200 36307200 36326720 36922240 42229812 43592064 44306688 45408400 46152800 52787265 54490080 55383360 56306416 58122752 68112600 69229200 70383020 71462400 72614400 72653440 73844480 84459624 87184128 87978775 88613376 90816800 92305600 105574530 108980160 110766720 112612832 136225200 138458400 140766040 145306880 147688960 168919248 174368256 175957550 181633600 184611200 211149060 217960320 221533440 225225664 263936325 272450400 276916800 281532080 290613760 337838496 351915100 363267200 369222400 422298120 435920640 443066880 450451328 527872650 544900800 553833600 563064160 675676992 703830200 726534400 738444800 844596240 871841280 900902656 1055745300 1089801600 1107667200 1126128320 1351353984 1407660400 1453068800 1689192480 1801805312 2111490600 2179603200 2215334400 2252256640 2702707968 2815320800 3378384960 4222981200 4359206400 4504513280 5405415936 5630641600 6756769920 8445962400 9009026560 11261283200 13513539840 16891924800 22522566400 27027079680 33783849600 45045132800 67567699200 135135398400
• Sum of all divisors σ(n): 468617673216
• Sum of proper divisors (its aliquot sum) s(n): 333482274816
• 135135398400 is an abundant number, because the sum of its proper divisors (333482274816) is greater than itself. Its abundance is 198346876416

Bases of 135135398400

• Binary: 1111101110110101100101000101000000000₂
• Hexadecimal: 0x1F76B28A00
• Base-36: 1Q2W4KQO

Squares and roots of 135135398400

• 135135398400 squared (135135398400²) is 18261575900726722560000
• 135135398400 cubed (135135398400³) is 2467785334756544502671867904000000
• The square root of 135135398400 is 367607.6691256589
• The cube root of 135135398400 is 5131.6422892639

Scales and comparisons

• 135,135,398,400 seconds is equal to 4,296 years, 46 weeks, 1 day, 2 hours, 40 minutes.
• To count from 1 to 135,135,398,400 would take you about eight thousand, five hundred ninety-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 135135398400 cubic inches would be around 427.6 feet tall.

Recreational maths with 135135398400

• 135135398400 backwards is 004893531531
• The number of decimal digits it has is: 12
• The sum of 135135398400's digits is 42
• More coming soon!