434361298968128

Names of 434361298968128

• Cardinal: 434361298968128 can be written as Four hundred thirty-four trillion, three hundred sixty-one billion, two hundred ninety-eight million, nine hundred sixty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.34361298968128 × 10¹⁴

Factors of 434361298968128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 556

Divisors of 434361298968128

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 157 196 224 238 272 314 373 392 448 476 544 628 746 784 833 952 1088 1099 1256 1492 1568 1666 1904 2198 2512 2611 2669 2984 3136 3332 3808 4396 5024 5222 5338 5968 6341 6664 7616 7693 8792 10048 10444 10676 11936 12682 13328 15386 17584 18277 18683 20888 21352 23872 25364 26656 30772 35168 36554 37366 41776 42704 44387 50728 53312 58561 61544 70336 73108 74732 83552 85408 88774 101456 117122 123088 130781 139129 146216 149464 167104 170816 177548 202912 234244 246176 261562 278258 292432 298928 310709 355096 405824 409927 468488 492352 523124 556516 584864 597856 621418 710192 819854 936976 973903 995537 1046248 1113032 1169728 1195712 1242836 1420384 1639708 1873952 1947806 1991074 2092496 2226064 2365193 2485672 2840768 2869489 3279416 3747904 3895612 3982148 4184992 4452128 4730386 4971344 5738978 6558832 6817321 6968759 7791224 7964296 8369984 8904256 9460772 9942688 11477956 13117664 13634642 13937518 15582448 15928592 16556351 18921544 19885376 21843253 22955912 26235328 27269284 27875036 31164896 31857184 33112702 37843088 43686506 45911824 48781313 51895117 54538568 55750072 62329792 63714368 66225404 75686176 87373012 91823648 97562626 103790234 109077136 111500144 115894457 132450808 151372352 152902771 174746024 183647296 195125252 207580468 218154272 223000288 231788914 264901616 305805542 349492048 363265819 371335301 390250504 415160936 436308544 446000576 463577828 529803232 611611084 698984096 726531638 742670602 780501008 830321872 882216989 927155656 1059606464 1070319397 1223222168 1397968192 1453063276 1485341204 1561002016 1660643744 1764433978 1854311312 2140638794 2446444336 2542860733 2599347107 2906126552 2970682408 3122004032 3321287488 3528867956 3708622624 4281277588 4892888672 5085721466 5198694214 5812253104 5941364816 6175518923 7057735912 7417245248 8147533369 8562555176 9785777344 10171442932 10397388428 11624506208 11882729632 12351037846 14115471824 16295066738 17125110352 18195429749 20342885864 20794776856 23249012416 23765459264 24702075692 28230943648 32590133476 34250220704 36390859498 40685771728 41589553712 43228632461 49404151384 56461887296 57032733583 65180266952 68500441408 72781718996 81371543456 83179107424 86457264922 98808302768 114065467166 130360533904 138508067273 145563437992 162743086912 166358214848 172914529844 197616605536 228130934332 260721067808 277016134546 291126875984 345829059688 395233211072 399229135081 456261868664 521442135616 554032269092 582253751968 691658119376 798458270162 912523737328 969556470911 1108064538184 1164507503936 1383316238752 1596916540324 1825047474656 1939112941822 2216129076368 2766632477504 3193833080648 3650094949312 3878225883644 4432258152736 6387666161296 6786895296377 7756451767288 8864516305472 12775332322592 13573790592754 15512903534576 25550664645184 27147581185508 31025807069152 54295162371016 62051614138304 108590324742032 217180649484064 434361298968128
• Sum of all divisors σ(n): 1071273978727920
• Sum of proper divisors (its aliquot sum) s(n): 636912679759792
• 434361298968128 is an abundant number, because the sum of its proper divisors (636912679759792) is greater than itself. Its abundance is 202551380791664

Bases of 434361298968128

• Binary: 1100010110000110010011110111011011101111001000000₂
• Hexadecimal: 0x18B0C9EEDDE40
• Base-36: 49YUTQJ1VK

Squares and roots of 434361298968128

• 434361298968128 squared (434361298968128²) is 188669738041279474357559824384
• 434361298968128 cubed (434361298968128³) is 81950832491586586213135216382921968093233152
• The square root of 434361298968128 is 20841336.3047604987
• The cube root of 434361298968128 is 75732.7466123873

Scales and comparisons

• 434,361,298,968,128 seconds is equal to 13,811,345 years, 38 weeks, 3 days, 4 hours, 2 minutes, 8 seconds.
• To count from 1 to 434,361,298,968,128 would take you about thirty-four million, five hundred twenty-eight thousand, three hundred sixty-four 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 434361298968128 cubic inches would be around 6311.1 feet tall.

Recreational maths with 434361298968128

• 434361298968128 backwards is 821869892163434
• The number of decimal digits it has is: 15
• The sum of 434361298968128's digits is 74
• More coming soon!