34153304640000

Names of 34153304640000

• Cardinal: 34153304640000 can be written as Thirty-four trillion, one hundred fifty-three billion, three hundred four million, six hundred forty thousand.

Scientific notation

• Scientific notation: 3.415330464 × 10¹³

Factors of 34153304640000

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 137

Divisors of 34153304640000

• Number of divisors d(n): 4800
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 25 26 28 29 30 32 34 35 39 40 42 48 50 51 52 56 58 60 61 64 65 68 70 75 78 80 84 85 87 91 96 100 102 104 105 112 116 119 120 122 125 128 130 136 140 145 150 156 160 168 169 170 174 175 182 183 192 195 200 203 204 208 210 221 224 232 238 240 244 250 255 256 260 272 273 280 290 300 305 312 320 325 336 338 340 348 350 357 364 366 375 377 384 390 400 406 408 416 420 425 427 435 442 448 455 464 476 480 488 493 500 507 510 512 520 525 544 546 560 580 595 600 609 610 624 625 640 650 663 672 676 680 696 700 714 725 728 732 750 754 768 780 793 800 812 816 832 840 845 850 854 870 875 884 896 910 915 928 952 960 975 976 986 1000 1014 1015 1020 1037 1040 1050 1088 1092 1105 1120 1131 1160 1183 1190 1200 1218 1220 1248 1250 1275 1280 1281 1300 1326 1344 1352 1360 1365 1392 1400 1428 1450 1456 1464 1479 1500 1508 1525 1536 1547 1560 1586 1600 1624 1625 1632 1664 1680 1690 1700 1708 1740 1750 1768 1769 1785 1792 1820 1830 1856 1875 1885 1904 1920 1950 1952 1972 2000 2028 2030 2040 2074 2080 2100 2125 2135 2175 2176 2184 2210 2240 2262 2275 2320 2366 2379 2380 2400 2436 2440 2465 2496 2500 2535 2550 2560 2562 2600 2625 2639 2652 2688 2704 2720 2730 2784 2800 2856 2873 2900 2912 2928 2958 2975 3000 3016 3045 3050 3094 3111 3120 3172 3200 3248 3250 3264 3315 3328 3360 3380 3400 3416 3451 3480 3500 3536 3538 3549 3570 3584 3625 3640 3660 3712 3750 3770 3808 3840 3900 3904 3944 3965 4000 4056 4060 4080 4148 4160 4200 4225 4250 4270 4350 4352 4368 4375 4420 4480 4524 4550 4575 4640 4641 4732 4758 4760 4800 4872 4875 4880 4901 4930 4992 5000 5070 5075 5100 5124 5185 5200 5250 5278 5304 5307 5376 5408 5440 5460 5525 5551 5568 5600 5655 5712 5746 5800 5824 5856 5915 5916 5950 6000 6032 6090 6100 6188 6222 6240 6344 6375 6400 6405 6409 6496 6500 6528 6630 6656 6720 6760 6800 6825 6832 6902 6960 7000 7072 7076 7098 7140 7250 7259 7280 7320 7395 7424 7500 7540 7616 7625 7680 7735 7800 7808 7888 7917 7930 8000 8112 8120 8125 8160 8296 8320 8400 8450 8500 8540 8619 8700 8704 8736 8750 8840 8845 8925 8960 9048 9100 9150 9280 9282 9425 9464 9516 9520 9600 9744 9750 9760 9802 9860 9984 10000 10140 10150 10200 10248 10309 10353 10370 10400 10500 10556 10608 10614 10625 10675 10752 10816 10875 10880 10920 11050 11102 11136 11200 11310 11375 11424 11492 11600 11648 11712 11830 11832 11895 11900 12000 12064 12180 12200 12325 12376 12383 12444 12480 12675 12688 12750 12800 12810 12818 12992 13000 13056 13125 13195 13260 13440 13481 13520 13600 13650 13664 13804 13920 14000 14144 14152 14196 14280 14365 14500 14518 14560 14640 14703 14790 14848 14875 15000 15080 15225 15232 15250 15470 15555 15600 15616 15776 15834 15860 16000 16224 16240 16250 16320 16575 16592 16640 16653 16800 16900 17000 17080 17238 17255 17400 17472 17500 17680 17690 17745 17850 17920 18096 18125 18200 18300 18560 18564 18850 18928 19032 19040 19200 19227 19488 19500 19520 19604 19720 19825 19968 20000 20111 20280 20300 20400 20496 20618 20706 20740 20800 21000 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• Sum of all divisors σ(n): 156643790941440
• Sum of proper divisors (its aliquot sum) s(n): 122490486301440
• 34153304640000 is an abundant number, because the sum of its proper divisors (122490486301440) is greater than itself. Its abundance is 88337181661440

Bases of 34153304640000

• Binary: 111110000111111101111100101110100101000000000₂
• Hexadecimal: 0x1F0FEF974A00
• Base-36: C3TT7RQIO

Squares and roots of 34153304640000

• 34153304640000 squared (34153304640000²) is 1166448217832645529600000000
• 34153304640000 cubed (34153304640000³) is 39838061330423423309562937344000000000000
• The square root of 34153304640000 is 5844082.8741557045
• The cube root of 34153304640000 is 32444.7359471457

Scales and comparisons

• 34,153,304,640,000 seconds is equal to 1,085,969 years, 23 weeks, 18 hours, 40 minutes.
• To count from 1 to 34,153,304,640,000 would take you about two million, seven hundred fourteen thousand, nine hundred twenty-three 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 34153304640000 cubic inches would be around 2703.7 feet tall.

Recreational maths with 34153304640000

• 34153304640000 backwards is 00004640335143
• The number of decimal digits it has is: 14
• The sum of 34153304640000's digits is 33
• More coming soon!