34144144000

Names of 34144144000

• Cardinal: 34144144000 can be written as Thirty-four billion, one hundred forty-four million, one hundred forty-four thousand.

Scientific notation

• Scientific notation: 3.4144144 × 10¹⁰

Factors of 34144144000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 175

Divisors of 34144144000

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 5 8 10 16 20 23 25 31 32 40 41 46 50 62 64 73 80 82 92 100 115 124 125 128 146 155 160 164 184 200 205 230 248 250 292 310 320 328 365 368 400 410 460 496 500 575 584 620 640 656 713 730 736 775 800 820 920 943 992 1000 1025 1150 1168 1240 1271 1312 1426 1460 1472 1550 1600 1640 1679 1825 1840 1886 1984 2000 2050 2263 2300 2336 2480 2542 2624 2852 2875 2920 2944 2993 3100 3200 3280 3358 3565 3650 3680 3772 3875 3968 4000 4100 4526 4600 4672 4715 4960 5084 5125 5248 5704 5750 5840 5986 6200 6355 6560 6716 7130 7300 7360 7544 7750 8000 8200 8395 9052 9125 9200 9344 9430 9920 10168 10250 11315 11408 11500 11680 11972 12400 12710 13120 13432 14260 14600 14720 14965 15088 15500 16000 16400 16790 17825 18104 18250 18400 18860 19840 20336 20500 22630 22816 23000 23360 23575 23944 24800 25420 26240 26864 28520 29200 29233 29930 30176 31000 31775 32800 33580 35650 36208 36500 36800 37720 40672 41000 41975 45260 45632 46000 46720 47150 47888 49600 50840 52049 53728 56575 57040 58400 58466 59860 60352 62000 63550 65600 67160 68839 71300 72416 73000 73600 74825 75440 81344 82000 83950 89125 90520 91264 92000 92783 94300 95776 99200 101680 104098 107456 113150 114080 116800 116932 117875 119720 120704 124000 127100 131200 134320 137678 142600 144832 146000 146165 149650 150880 158875 162688 164000 167900 178250 181040 184000 185566 188600 191552 203360 208196 209875 214912 226300 228160 233600 233864 235750 239440 248000 254200 260245 268640 275356 282875 285200 289664 292000 292330 299300 301760 317750 328000 335800 344195 356500 362080 368000 371132 374125 377200 383104 406720 416392 419750 452600 456320 463915 467728 471500 478880 496000 508400 520490 537280 550712 565750 570400 584000 584660 598600 603520 635500 656000 671600 688390 713000 724160 730825 742264 748250 754400 813440 832784 839500 905200 927830 935456 943000 957760 1016800 1040980 1074560 1101424 1131500 1140800 1168000 1169320 1197200 1271000 1301225 1343200 1376780 1426000 1448320 1461650 1484528 1496500 1508800 1665568 1679000 1720975 1810400 1855660 1870912 1886000 1915520 2033600 2081960 2134009 2202848 2263000 2281600 2319575 2338640 2394400 2542000 2602450 2686400 2753560 2852000 2923300 2969056 2993000 3017600 3331136 3358000 3441950 3620800 3654125 3711320 3741824 3772000 4067200 4163920 4268018 4405696 4526000 4639150 4677280 4788800 5084000 5204900 5372800 5507120 5704000 5846600 5938112 5986000 6506125 6662272 6716000 6883900 7241600 7308250 7422640 7544000 8327840 8536036 8604875 8811392 9052000 9278300 9354560 9577600 10168000 10409800 10670045 11014240 11408000 11597875 11693200 11876224 11972000 13012250 13432000 13767800 14616500 14845280 15088000 16655680 17072072 17209750 18104000 18556600 18709120 20336000 20819600 21340090 22028480 23195750 23386400 23944000 26024500 26864000 27535600 29233000 29690560 33311360 34144144 34419500 36208000 37113200 41639200 42680180 44056960 46391500 46772800 47888000 52049000 53350225 55071200 58466000 59381120 68288288 68839000 74226400 83278400 85360360 92783000 93545600 104098000 106700450 110142400 116932000 136576576 137678000 148452800 166556800 170720720 185566000 208196000 213400900 220284800 233864000 266751125 273153152 275356000 296905600 341441440 371132000 416392000 426801800 467728000 533502250 550712000 682882880 742264000 832784000 853603600 1067004500 1101424000 1365765760 1484528000 1707207200 2134009000 3414414400 4268018000 6828828800 8536036000 17072072000 34144144000
• Sum of all divisors σ(n): 94952632320
• Sum of proper divisors (its aliquot sum) s(n): 60808488320
• 34144144000 is an abundant number, because the sum of its proper divisors (60808488320) is greater than itself. Its abundance is 26664344320

Bases of 34144144000

• Binary: 11111110011001001100100101010000000₂
• Hexadecimal: 0x7F3264A80
• Base-36: FOOJI4G

Squares and roots of 34144144000

• 34144144000 squared (34144144000²) is 1165822569492736000000
• 34144144000 cubed (34144144000³) is 39806013691209984937984000000000
• The square root of 34144144000 is 184781.3410493603
• The cube root of 34144144000 is 3244.1834899199

Scales and comparisons

• 34,144,144,000 seconds is equal to 1,085 years, 35 weeks, 1 day, 20 hours, 26 minutes, 40 seconds.
• To count from 1 to 34,144,144,000 would take you about two thousand, one hundred seventy-one 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 34144144000 cubic inches would be around 270.3 feet tall.

Recreational maths with 34144144000

• 34144144000 backwards is 00044144143
• 34144144000 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 34144144000's digits is 25
• More coming soon!