456226485120

Names of 456226485120

• Cardinal: 456226485120 can be written as Four hundred fifty-six billion, two hundred twenty-six million, four hundred eighty-five thousand, one hundred twenty.

Scientific notation

• Scientific notation: 4.5622648512 × 10¹¹

Factors of 456226485120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 136427

Divisors of 456226485120

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 83 84 90 96 105 112 120 126 128 140 144 160 166 168 180 192 210 224 240 249 252 280 288 315 320 332 336 360 384 415 420 448 480 498 504 560 576 581 630 640 664 672 720 747 830 840 896 960 996 1008 1120 1152 1162 1245 1260 1328 1344 1440 1494 1660 1680 1743 1920 1992 2016 2240 2324 2490 2520 2656 2688 2880 2905 2988 3320 3360 3486 3735 3984 4032 4480 4648 4980 5040 5229 5312 5760 5810 5976 6640 6720 6972 7470 7968 8064 8715 9296 9960 10080 10458 10624 11620 11952 13280 13440 13944 14940 15936 17430 18592 19920 20160 20916 23240 23904 26145 26560 27888 29880 31872 34860 37184 39840 40320 41832 46480 47808 52290 53120 55776 59760 69720 74368 79680 83664 92960 95616 104580 111552 119520 136327 139440 159360 167328 185920 209160 223104 239040 272654 278880 334656 371840 408981 418320 478080 545308 557760 669312 681635 817962 836640 954289 1090616 1115520 1226943 1363270 1635924 1673280 1908578 2044905 2181232 2453886 2726540 2862867 3271848 3346560 3817156 4089810 4362464 4771445 4907772 5453080 5725734 6134715 6543696 7634312 8179620 8588601 8724928 9542890 9815544 10906160 11315141 11451468 12269430 13087392 14314335 15268624 16359240 17177202 17449856 19085780 19631088 21812320 22630282 22902936 24538860 26174784 28628670 30537248 32718480 33945423 34354404 38171560 39262176 42943005 43624640 45260564 45805872 49077720 52349568 56575705 57257340 61074496 65436960 67890846 68708808 76343120 78524352 79205987 85886010 87249280 90521128 91611744 98155440 101836269 113151410 114514680 122148992 130873920 135781692 137417616 152686240 157048704 158411974 169727115 171772020 181042256 183223488 196310880 203672538 226302820 229029360 237617961 261747840 271563384 274835232 305372480 316823948 339454230 343544040 362084512 366446976 392621760 396029935 407345076 452605640 458058720 475235922 509181345 543126768 549670464 610744960 633647896 678908460 687088080 712853883 724169024 785243520 792059870 814690152 905211280 916117440 950471844 1018362690 1086253536 1099340928 1188089805 1267295792 1357816920 1374176160 1425707766 1448338048 1584119740 1629380304 1810422560 1832234880 1900943688 2036725380 2172507072 2376179610 2534591584 2715633840 2748352320 2851415532 3168239480 3258760608 3564269415 3620845120 3801887376 4073450760 4345014144 4752359220 5069183168 5431267680 5496704640 5702831064 6336478960 6517521216 7128538830 7241690240 7603774752 8146901520 9504718440 10138366336 10862535360 11405662128 12672957920 13035042432 14257077660 15207549504 16293803040 19009436880 21725070720 22811324256 25345915840 28514155320 30415099008 32587606080 38018873760 45622648512 50691831680 57028310640 65175212160 76037747520 91245297024 114056621280 152075495040 228113242560 456226485120
• Sum of all divisors σ(n): 1822170954240
• Sum of proper divisors (its aliquot sum) s(n): 1365944469120
• 456226485120 is an abundant number, because the sum of its proper divisors (1365944469120) is greater than itself. Its abundance is 909717984000

Bases of 456226485120

• Binary: 110101000111001001101111011001110000000₂
• Hexadecimal: 0x6A3937B380
• Base-36: 5TL5GWW0

Squares and roots of 456226485120

• 456226485120 squared (456226485120²) is 208142605724949581414400
• 456226485120 cubed (456226485120³) is 94960169413611737017906990153728000
• The square root of 456226485120 is 675445.3975859189
• The cube root of 456226485120 is 7698.2763619311

Scales and comparisons

• 456,226,485,120 seconds is equal to 14,506 years, 30 weeks, 5 days, 3 hours, 12 minutes.
• To count from 1 to 456,226,485,120 would take you about twenty-nine thousand and thirteen 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 456226485120 cubic inches would be around 641.5 feet tall.

Recreational maths with 456226485120

• 456226485120 backwards is 021584622654
• 456226485120 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 456226485120's digits is 45
• More coming soon!