137514402816
137,514,402,816 is an even composite number composed of five prime numbers multiplied together.
What does the number 137514402816 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 264 divisors.
137514402816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 137514402816:
210 × 3 × 72 × 653 × 1399
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 653 × 1399)See below for interesting mathematical facts about the number 137514402816 from the Numbermatics database.
Names of 137514402816
- Cardinal: 137514402816 can be written as One hundred thirty-seven billion, five hundred fourteen million, four hundred two thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.37514402816 × 1011
Factors of 137514402816
Divisors of 137514402816
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 653 672 768 784 896 1024 1176 1306 1344 1399 1536 1568 1792 1959 2352 2612 2688 2798 3072 3136 3584 3918 4197 4571 4704 5224 5376 5596 6272 7168 7836 8394 9142 9408 9793 10448 10752 11192 12544 13713 15672 16788 18284 18816 19586 20896 21504 22384 25088 27426 29379 31344 31997 33576 36568 37632 39172 41792 44768 50176 54852 58758 62688 63994 67152 68551 73136 75264 78344 83584 89536 95991 109704 117516 125376 127988 134304 137102 146272 150528 156688 167168 179072 191982 205653 219408 235032 250752 255976 268608 274204 292544 313376 334336 358144 383964 411306 438816 470064 501504 511952 537216 548408 585088 626752 668672 716288 767928 822612 877632 913547 940128 1003008 1023904 1074432 1096816 1170176 1253504 1432576 1535856 1645224 1755264 1827094 1880256 2006016 2047808 2148864 2193632 2340352 2507008 2740641 3071712 3290448 3510528 3654188 3760512 4095616 4297728 4387264 4680704 5014016 5481282 6143424 6394829 6580896 7021056 7308376 7521024 8191232 8774528 10028032 10962564 12286848 12789658 13161792 14042112 14616752 15042048 16382464 17549056 19184487 21925128 24573696 25579316 26323584 29233504 30084096 32764928 35098112 38368974 43850256 44763803 49147392 51158632 52647168 58467008 70196224 76737948 87700512 89527606 98294784 102317264 105294336 116934016 134291409 153475896 175401024 179055212 204634528 210588672 233868032 268582818 306951792 350802048 358110424 409269056 467736064 537165636 613903584 701604096 716220848 818538112 935472128 1074331272 1227807168 1403208192 1432441696 1637076224 2148662544 2455614336 2806416384 2864883392 3274152448 4297325088 4911228672 5729766784 6548304896 8594650176 9822457344 11459533568 17189300352 19644914688 22919067136 34378600704 45838134272 68757201408 137514402816
- Sum of all divisors σ(n): 427325169600
- Sum of proper divisors (its aliquot sum) s(n): 289810766784
- 137514402816 is an abundant number, because the sum of its proper divisors (289810766784) is greater than itself. Its abundance is 152296363968
Bases of 137514402816
- Binary: 100000000001000111111101000100000000002
- Hexadecimal: 0x20047F4400
- Base-36: 1R68IWAO
Squares and roots of 137514402816
- 137514402816 squared (1375144028162) is 18910210981841108729856
- 137514402816 cubed (1375144028163) is 2600426370292445087185472109674496
-
The
square root of 137514402816 is 370829.3445993723 -
The
cube root of 137514402816 is 5161.5807860267
Scales and comparisons
How big is 137514402816?- 137,514,402,816 seconds is equal to 4,372 years, 27 weeks, 4 days, 21 hours, 13 minutes, 36 seconds.
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To count from 1 to 137,514,402,816 would take you about eight thousand, seven hundred forty-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 137514402816 cubic inches would be around 430.1 feet tall.
Recreational maths with 137514402816
- 137514402816 backwards is 618204415731
- 137514402816 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137514402816's digits is 42
- More coming soon!
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