434004423344128

Names of 434004423344128

• Cardinal: 434004423344128 can be written as Four hundred thirty-four trillion, four billion, four hundred twenty-three million, three hundred forty-four thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.34004423344128 × 10¹⁴

Factors of 434004423344128

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 22

Divisors of 434004423344128

• Number of divisors d(n): 532
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 169 182 196 208 224 256 338 343 364 392 416 448 512 637 676 686 728 784 832 896 1024 1183 1274 1352 1372 1456 1568 1664 1792 2048 2197 2366 2548 2704 2744 2912 3136 3328 3584 4096 4394 4459 4732 5096 5408 5488 5824 6272 6656 7168 8192 8281 8788 8918 9464 10192 10816 10976 11648 12544 13312 14336 15379 16384 16562 17576 17836 18928 20384 21632 21952 23296 25088 26624 28561 28672 30758 32768 33124 35152 35672 37856 40768 43264 43904 46592 50176 53248 57122 57344 57967 61516 65536 66248 70304 71344 75712 81536 86528 87808 93184 100352 106496 107653 114244 114688 115934 123032 131072 132496 140608 142688 151424 163072 173056 175616 186368 199927 200704 212992 215306 228488 229376 231868 246064 262144 264992 281216 285376 302848 326144 346112 351232 371293 372736 399854 401408 425984 430612 456976 458752 463736 492128 529984 562432 570752 605696 652288 692224 702464 742586 745472 753571 799708 802816 851968 861224 913952 917504 927472 984256 1059968 1124864 1141504 1211392 1304576 1384448 1399489 1404928 1485172 1490944 1507142 1599416 1605632 1703936 1722448 1827904 1835008 1854944 1968512 2119936 2249728 2283008 2422784 2599051 2609152 2768896 2798978 2809856 2970344 2981888 3014284 3198832 3211264 3407872 3444896 3655808 3709888 3937024 4239872 4499456 4566016 4826809 4845568 5198102 5218304 5537792 5597956 5619712 5940688 5963776 6028568 6397664 6422528 6889792 7311616 7419776 7874048 8479744 8998912 9132032 9653618 9691136 9796423 10396204 10436608 11075584 11195912 11239424 11881376 11927552 12057136 12795328 12845056 13779584 14623232 14839552 15748096 16959488 17997824 18193357 18264064 19307236 19382272 19592846 20792408 20873216 22151168 22391824 22478848 23762752 23855104 24114272 25590656 27559168 29246464 29679104 31496192 33787663 33918976 35995648 36386714 36528128 38614472 38764544 39185692 41584816 41746432 44302336 44783648 44957696 47525504 48228544 51181312 55118336 58492928 59358208 62992384 67575326 67837952 71991296 72773428 73056256 77228944 77529088 78371384 83169632 83492864 89567296 89915392 95051008 96457088 102362624 110236672 116985856 118716416 125984768 127353499 135150652 135675904 143982592 145546856 146112512 154457888 155058176 156742768 166339264 166985728 179134592 190102016 192914176 204725248 220473344 233971712 236513641 237432832 251969536 254706998 270301304 271351808 287965184 291093712 292225024 308915776 310116352 313485536 332678528 358269184 380204032 385828352 409450496 440946688 467943424 473027282 474865664 503939072 509413996 540602608 542703616 575930368 582187424 584450048 617831552 626971072 665357056 716538368 760408064 771656704 818900992 881893376 935886848 946054564 949731328 1007878144 1018827992 1081205216 1085407232 1164374848 1168900096 1235663104 1253942144 1330714112 1433076736 1520816128 1543313408 1637801984 1655595487 1763786752 1871773696 1892109128 1899462656 2015756288 2037655984 2162410432 2170814464 2328749696 2471326208 2507884288 2661428224 2866153472 3041632256 3086626816 3275603968 3311190974 3527573504 3743547392 3784218256 3798925312 4031512576 4075311968 4324820864 4657499392 4942652416 5015768576 5322856448 5732306944 6083264512 6173253632 6551207936 6622381948 7055147008 7487094784 7568436512 7597850624 8150623936 8649641728 9314998784 9885304832 10031537152 10645712896 11464613888 12166529024 12346507264 13102415872 13244763896 14110294016 15136873024 15195701248 16301247872 17299283456 18629997568 19770609664 20063074304 21291425792 22929227776 24333058048 24693014528 26204831744 26489527792 28220588032 30273746048 32602495744 34598566912 37259995136 39541219328 40126148608 42582851584 45858455552 48666116096 49386029056 52409663488 52979055584 60547492096 65204991488 69197133824 74519990272 79082438656 80252297216 85165703168 91716911104 97332232192 98772058112 105958111168 121094984192 130409982976 138394267648 149039980544 158164877312 160504594432 170331406336 183433822208 197544116224 211916222336 242189968384 260819965952 276788535296 298079961088 316329754624 321009188864 340662812672 366867644416 423832444672 484379936768 521639931904 553577070592 596159922176 632659509248 642018377728 681325625344 847664889344 968759873536 1043279863808 1107154141184 1192319844352 1265319018496 1284036755456 1695329778688 1937519747072 2086559727616 2214308282368 2384639688704 2568073510912 3390659557376 3875039494144 4173119455232 4428616564736 4769279377408 6781319114752 7750078988288 8346238910464 8857233129472 13562638229504 15500157976576 16692477820928 27125276459008 31000315953152 33384955641856 54250552918016 62000631906304 108501105836032 217002211672064 434004423344128
• Sum of all divisors σ(n): 1096607706936400
• Sum of proper divisors (its aliquot sum) s(n): 662603283592272
• 434004423344128 is an abundant number, because the sum of its proper divisors (662603283592272) is greater than itself. Its abundance is 228598860248144

Bases of 434004423344128

• Binary: 1100010101011100110000111011111000000000000000000₂
• Hexadecimal: 0x18AB9877C0000
• Base-36: 49UAVNZW1S

Squares and roots of 434004423344128

• 434004423344128 squared (434004423344128²) is 188359839482269077274712080384
• 434004423344128 cubed (434004423344128³) is 81749003515694704454708121962579657230385152
• The square root of 434004423344128 is 20832772.8193855175
• 434004423344128 is a perfect cube number. Its cube root is 75712
• Being both a perfect square and a perfect cube, 434004423344128 is also a perfect sixth number.

Scales and comparisons

• 434,004,423,344,128 seconds is equal to 13,799,998 years, 10 weeks, 2 days, 6 hours, 15 minutes, 28 seconds.
• To count from 1 to 434,004,423,344,128 would take you about thirty-four million, four hundred ninety-nine thousand, nine hundred ninety-five 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 434004423344128 cubic inches would be around 6309.3 feet tall.

Recreational maths with 434004423344128

• 434004423344128 backwards is 821443324400434
• The number of decimal digits it has is: 15
• The sum of 434004423344128's digits is 46
• More coming soon!