339904426316992128

Names of 339904426316992128

• Cardinal: 339904426316992128 can be written as Three hundred thirty-nine quadrillion, nine hundred four trillion, four hundred twenty-six billion, three hundred sixteen million, nine hundred ninety-two thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 3.39904426316992128 × 10¹⁷

Factors of 339904426316992128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4730052464

Divisors of 339904426316992128

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 239 261 288 324 348 384 432 464 478 522 576 648 696 717 783 864 928 956 1044 1152 1296 1392 1434 1566 1728 1856 1912 2088 2151 2349 2592 2784 2868 3132 3456 3712 3824 4176 4302 4698 5184 5568 5736 6264 6453 6931 7648 8352 8604 9396 10368 11136 11472 12528 12906 13862 15296 16704 17208 18792 19359 20793 22944 25056 25812 27724 30592 33408 34416 37584 38718 41586 45888 50112 51624 55448 62379 68832 75168 77436 83172 91776 100224 103248 110896 124758 137664 150336 154872 166344 187137 206496 221792 249516 275328 300672 309744 332688 374274 412992 443584 499032 561411 619488 665376 748548 825984 887168 998064 1122822 1238976 1330752 1497096 1996128 2245644 2477952 2661504 2994192 3992256 4491288 5988384 7984512 8982576 11976768 17965152 23953536 35930304 71860608 4730052191 9460104382 14190156573 18920208764 28380313146 37840417528 42570469719 56760626292 75680835056 85140939438 113521252584 127711409157 137171513539 151361670112 170281878876 227042505168 255422818314 274343027078 302723340224 340563757752 383134227471 411514540617 454085010336 510845636628 548686054156 605446680448 681127515504 766268454942 823029081234 908170020672 1021691273256 1097372108312 1130482473649 1234543621851 1362255031008 1532536909884 1646058162468 1816340041344 2043382546512 2194744216624 2260964947298 2469087243702 2724510062016 3065073819768 3292116324936 3391447420947 3703630865553 4086765093024 4389488433248 4521929894596 4938174487404 5449020124032 6130147639536 6584232649872 6782894841894 7407261731106 8173530186048 8778976866496 9043859789192 9876348974808 10174342262841 11110892596659 12260295279072 13168465299744 13565789683788 14814523462212 16347060372096 17557953732992 18087719578384 19752697949616 20348684525682 22221785193318 24520590558144 26336930599488 27131579367576 29629046924424 30523026788523 32783991735821 36175439156768 39505395899232 40697369051364 44443570386636 49041181116288 52673861198976 54263158735152 59258093848848 61046053577046 65567983471642 72350878313536 79010791798464 81394738102728 88887140773272 91569080365569 98351975207463 108526317470304 118516187697696 122092107154092 131135966943284 144701756627072 158021583596928 162789476205456 177774281546544 183138160731138 196703950414926 217052634940608 237032375395392 244184214308184 262271933886568 295055925622389 325578952410912 355548563093088 366276321462276 393407900829852 434105269881216 474064750790784 488368428616368 524543867773136 590111851244778 651157904821824 711097126186176 732552642924552 786815801659704 885167776867167 976736857232736 1049087735546272 1180223702489556 1302315809643648 1422194252372352 1465105285849104 1573631603319408 1770335553734334 1953473714465472 2098175471092544 2360447404979112 2655503330601501 2930210571698208 3147263206638816 3540671107468668 3906947428930944 4196350942185088 4720894809958224 5311006661203002 5860421143396416 6294526413277632 7081342214937336 9441789619916448 10622013322406004 11720842286792832 12589052826555264 14162684429874672 18883579239832896 21244026644812008 28325368859749344 37767158479665792 42488053289624016 56650737719498688 84976106579248032 113301475438997376 169952213158496064 339904426316992128
• Sum of all divisors σ(n): 1050809474765952000
• Sum of proper divisors (its aliquot sum) s(n): 710905048448959872
• 339904426316992128 is an abundant number, because the sum of its proper divisors (710905048448959872) is greater than itself. Its abundance is 371000622131967744

Bases of 339904426316992128

• Binary: 10010110111100101010100011001011100001101010000111010000000₂
• Hexadecimal: 0x4B795465C350E80
• Base-36: 2KYU29RWX400

Squares and roots of 339904426316992128

• 339904426316992128 squared (339904426316992128²) is 115535019029883530729201065213968384
• 339904426316992128 cubed (339904426316992128³) is 39270864362875329900165725508145328147710197368881152
• The square root of 339904426316992128 is 583013229.9673757213
• The cube root of 339904426316992128 is 697887.8005637875

Scales and comparisons

• 339,904,426,316,992,128 seconds is equal to 10,807,909,363 years, 23 weeks, 5 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 339,904,426,316,992,128 would take you about thirty-two billion, four hundred twenty-three million, seven hundred twenty-eight thousand and ninety 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 339904426316992128 cubic inches would be around 58157.3 feet tall.

Recreational maths with 339904426316992128

• 339904426316992128 backwards is 821299613624409933
• 339904426316992128 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 339904426316992128's digits is 81
• More coming soon!