34134441984

Names of 34134441984

• Cardinal: 34134441984 can be written as Thirty-four billion, one hundred thirty-four million, four hundred forty-one thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 3.4134441984 × 10¹⁰

Factors of 34134441984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 111

Divisors of 34134441984

• Number of divisors d(n): 450
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 89 96 102 108 128 136 144 153 162 178 192 204 216 256 267 272 288 289 306 324 356 384 408 432 459 512 534 544 576 578 612 648 712 768 801 816 864 867 918 1024 1068 1088 1152 1156 1224 1296 1377 1424 1513 1536 1602 1632 1728 1734 1836 2048 2136 2176 2304 2312 2403 2448 2592 2601 2754 2848 3026 3072 3204 3264 3456 3468 3672 4096 4272 4352 4539 4608 4624 4806 4896 5184 5202 5508 5696 6052 6144 6408 6528 6912 6936 7209 7344 7803 8192 8544 8704 9078 9216 9248 9612 9792 10368 10404 11016 11392 12104 12288 12816 13056 13617 13824 13872 14418 14688 15606 16384 17088 17408 18156 18432 18496 19224 19584 20736 20808 22032 22784 23409 24208 24576 25632 25721 26112 27234 27648 27744 28836 29376 31212 34176 34816 36312 36864 36992 38448 39168 40851 41472 41616 44064 45568 46818 48416 49152 51264 51442 52224 54468 55296 55488 57672 58752 62424 68352 69632 72624 73728 73984 76896 77163 78336 81702 82944 83232 88128 91136 93636 96832 102528 102884 104448 108936 110592 110976 115344 117504 122553 124848 136704 139264 145248 147456 147968 153792 154326 156672 163404 165888 166464 176256 182272 187272 193664 205056 205768 208896 217872 221184 221952 230688 231489 235008 245106 249696 273408 278528 290496 295936 307584 308652 313344 326808 331776 332928 352512 364544 374544 387328 410112 411536 417792 435744 442368 443904 461376 462978 470016 490212 499392 546816 580992 591872 615168 617304 626688 653616 663552 665856 694467 705024 729088 749088 774656 820224 823072 835584 871488 887808 922752 925956 940032 980424 998784 1093632 1161984 1183744 1230336 1234608 1253376 1307232 1327104 1331712 1388934 1410048 1458176 1498176 1549312 1640448 1646144 1742976 1775616 1845504 1851912 1880064 1960848 1997568 2083401 2187264 2323968 2367488 2460672 2469216 2506752 2614464 2663424 2777868 2820096 2996352 3098624 3280896 3292288 3485952 3551232 3691008 3703824 3760128 3921696 3995136 4166802 4374528 4647936 4734976 4921344 4938432 5228928 5326848 5555736 5640192 5992704 6197248 6561792 6584576 6971904 7102464 7382016 7407648 7520256 7843392 7990272 8333604 9295872 9842688 9876864 10457856 10653696 11111472 11280384 11985408 12394496 13123584 13169152 13943808 14204928 14764032 14815296 15686784 15980544 16667208 18591744 19685376 19753728 20915712 21307392 22222944 22560768 23970816 24788992 26338304 27887616 29528064 29630592 31373568 31961088 33334416 37183488 39370752 39507456 41831424 42614784 44445888 47941632 52676608 55775232 59056128 59261184 62747136 63922176 66668832 74366976 79014912 83662848 88891776 95883264 105353216 111550464 118112256 118522368 125494272 127844352 133337664 158029824 167325696 177783552 191766528 210706432 223100928 237044736 250988544 266675328 316059648 334651392 355567104 383533056 421412864 474089472 501977088 533350656 632119296 669302784 711134208 948178944 1003954176 1066701312 1264238592 1422268416 1896357888 2007908352 2133402624 2844536832 3792715776 4266805248 5689073664 8533610496 11378147328 17067220992 34134441984
• Sum of all divisors σ(n): 109547617410
• Sum of proper divisors (its aliquot sum) s(n): 75413175426
• 34134441984 is an abundant number, because the sum of its proper divisors (75413175426) is greater than itself. Its abundance is 41278733442

Bases of 34134441984

• Binary: 11111110010100100100100000000000000₂
• Hexadecimal: 0x7F2924000
• Base-36: FOIRK00

Squares and roots of 34134441984

• 34134441984 squared (34134441984²) is 1165160129559061856256
• 34134441984 cubed (34134441984³) is 39772090844503720433837779451904
• The square root of 34134441984 is 184755.0864901965
• The cube root of 34134441984 is 3243.8761839115

Scales and comparisons

• 34,134,441,984 seconds is equal to 1,085 years, 19 weeks, 1 day, 13 hours, 26 minutes, 24 seconds.
• To count from 1 to 34,134,441,984 would take you about two thousand, one hundred seventy 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 34134441984 cubic inches would be around 270.3 feet tall.

Recreational maths with 34134441984

• 34134441984 backwards is 48914443143
• The number of decimal digits it has is: 11
• The sum of 34134441984's digits is 45
• More coming soon!