34134543728640

Names of 34134543728640

• Cardinal: 34134543728640 can be written as Thirty-four trillion, one hundred thirty-four billion, five hundred forty-three million, seven hundred twenty-eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 3.413454372864 × 10¹³

Factors of 34134543728640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 171

Divisors of 34134543728640

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 41 45 48 53 54 60 64 67 72 80 82 90 96 106 108 120 123 128 134 135 144 159 160 164 180 192 201 205 212 216 240 246 256 265 268 270 288 318 320 328 335 360 369 384 402 410 424 432 477 480 492 512 530 536 540 576 603 615 636 640 656 670 720 738 768 795 804 820 848 864 954 960 984 1005 1024 1060 1072 1080 1107 1152 1206 1230 1272 1280 1312 1340 1431 1440 1476 1536 1590 1608 1640 1696 1728 1809 1845 1908 1920 1968 2010 2048 2120 2144 2160 2173 2214 2304 2385 2412 2460 2544 2560 2624 2680 2747 2809 2862 2880 2952 3015 3072 3180 3216 3280 3392 3456 3551 3618 3690 3816 3840 3936 4020 4096 4240 4288 4320 4346 4428 4608 4770 4824 4920 5088 5120 5248 5360 5494 5535 5618 5724 5760 5904 6030 6144 6360 6432 6519 6560 6784 6912 7102 7155 7236 7380 7632 7680 7872 8040 8192 8241 8427 8480 8576 8640 8692 8856 9045 9216 9540 9648 9840 10176 10240 10496 10653 10720 10865 10988 11070 11236 11448 11520 11808 12060 12288 12720 12864 13038 13120 13568 13735 13824 14045 14204 14310 14472 14760 15264 15360 15744 16080 16384 16482 16854 16960 17152 17280 17384 17712 17755 18090 18432 19080 19296 19557 19680 20352 20480 20992 21306 21440 21730 21976 22140 22472 22896 23040 23616 24120 24576 24723 25281 25440 25728 26076 26240 27136 27470 27648 28090 28408 28620 28944 29520 30528 30720 31488 31959 32160 32595 32768 32964 33708 33920 34304 34560 34768 35424 35510 36180 36864 38160 38592 39114 39360 40704 40960 41205 41984 42135 42612 42880 43460 43952 44280 44944 45792 46080 47232 48240 49152 49446 50562 50880 51456 52152 52480 53265 54272 54940 55296 56180 56816 57240 57888 58671 59040 61056 61440 62976 63918 64320 65190 65928 67416 67840 68608 69120 69536 70848 71020 72360 73728 74169 75843 76320 77184 78228 78720 81408 81920 82410 83968 84270 85224 85760 86920 87904 88560 89888 91584 92160 94464 95877 96480 97785 98304 98892 101124 101760 102912 104304 104960 106530 108544 109880 110592 112360 113632 114480 115169 115776 117342 118080 122112 122880 123615 125952 126405 127836 128640 130380 131856 134832 135680 137216 138240 139072 141696 142040 144720 145591 147456 148338 151686 152640 154368 156456 157440 159795 162816 163840 164820 167936 168540 170448 171520 173840 175808 177120 179776 183168 184320 188203 188928 191754 192960 195570 197784 202248 203520 205824 208608 209920 213060 217088 219760 221184 224720 227264 228960 230338 231552 234684 236160 244224 245760 247230 251904 252810 255672 257280 260760 263712 269664 271360 274432 276480 278144 283392 284080 289440 291182 293355 294912 296676 303372 305280 308736 312912 314880 319590 325632 329640 335872 337080 340896 343040 345507 347680 351616 354240 359552 366336 368640 370845 376406 377856 379215 383508 385920 391140 395568 404496 407040 411648 417216 419840 426120 434176 436773 439520 442368 449440 454528 457920 460676 463104 469368 472320 479385 488448 491520 494460 503808 505620 511344 514560 521520 527424 539328 542720 548864 552960 556288 564609 566784 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128809598976 133338061440 138758307840 142227265536 158030295040 161011998720 166509969408 169823600640 177784081920 189636354048 208137461760 213340898304 214682664960 237045442560 252848472064 254735400960 266676122880 277516615680 284454531072 316060590080 322023997440 355568163840 379272708096 416274923520 426681796608 474090885120 509470801920 533352245760 568909062144 632121180160 644047994880 711136327680 758545416192 832549847040 853363593216 948181770240 1066704491520 1137818124288 1264242360320 1422272655360 1706727186432 1896363540480 2133408983040 2275636248576 2844545310720 3413454372864 3792727080960 4266817966080 5689090621440 6826908745728 8533635932160 11378181242880 17067271864320 34134543728640
• Sum of all divisors σ(n): 128606848675200
• Sum of proper divisors (its aliquot sum) s(n): 94472304946560
• 34134543728640 is an abundant number, because the sum of its proper divisors (94472304946560) is greater than itself. Its abundance is 60337761217920

Bases of 34134543728640

• Binary: 111110000101110010001010110101000000000000000₂
• Hexadecimal: 0x1F0B915A8000
• Base-36: C3L6Y0AO0

Squares and roots of 34134543728640

• 34134543728640 squared (34134543728640²) is 1165167075562436353956249600
• 34134543728640 cubed (34134543728640³) is 39772446491957570846696447036614508544000
• The square root of 34134543728640 is 5842477.5334304881
• The cube root of 34134543728640 is 32438.7940691901

Scales and comparisons

• 34,134,543,728,640 seconds is equal to 1,085,372 years, 47 weeks, 14 hours, 24 minutes.
• To count from 1 to 34,134,543,728,640 would take you about two million, seven hundred thirteen thousand, four hundred thirty-two 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 34134543728640 cubic inches would be around 2703.2 feet tall.

Recreational maths with 34134543728640

• 34134543728640 backwards is 04682734543143
• 34134543728640 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34134543728640's digits is 54
• More coming soon!