1137142507008
1,137,142,507,008 is an even composite number composed of six prime numbers multiplied together.
What does the number 1137142507008 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
1137142507008 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 1137142507008:
29 × 3 × 19 × 67 × 71 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 19 × 67 × 71 × 8191)See below for interesting mathematical facts about the number 1137142507008 from the Numbermatics database.
Names of 1137142507008
- Cardinal: 1137142507008 can be written as One trillion, one hundred thirty-seven billion, one hundred forty-two million, five hundred seven thousand and eight.
Scientific notation
- Scientific notation: 1.137142507008 × 1012
Factors of 1137142507008
Divisors of 1137142507008
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 67 71 76 96 114 128 134 142 152 192 201 213 228 256 268 284 304 384 402 426 456 512 536 568 608 768 804 852 912 1072 1136 1216 1273 1349 1536 1608 1704 1824 2144 2272 2432 2546 2698 3216 3408 3648 3819 4047 4288 4544 4757 4864 5092 5396 6432 6816 7296 7638 8094 8191 8576 9088 9514 9728 10184 10792 12864 13632 14271 14592 15276 16188 16382 17152 18176 19028 20368 21584 24573 25728 27264 28542 29184 30552 32376 32764 34304 36352 38056 40736 43168 49146 51456 54528 57084 61104 64752 65528 76112 81472 86336 90383 98292 102912 109056 114168 122208 129504 131056 152224 155629 162944 172672 180766 196584 228336 244416 259008 262112 271149 304448 311258 325888 345344 361532 393168 456672 466887 488832 518016 524224 542298 548797 581561 608896 622516 651776 690688 723064 786336 913344 933774 977664 1036032 1048448 1084596 1097594 1163122 1217792 1245032 1446128 1572672 1646391 1744683 1826688 1867548 1955328 2072064 2096896 2169192 2195188 2326244 2435584 2490064 2892256 3145344 3292782 3489366 3653376 3735096 4193792 4338384 4390376 4652488 4980128 5784512 6290688 6585564 6978732 7306752 7470192 8676768 8780752 9304976 9960256 10427143 11049659 11569024 12581376 13171128 13957464 14940384 17353536 17561504 18609952 19920512 20854286 22099318 23138048 26342256 27914928 29880768 31281429 33148977 34707072 35123008 37219904 38964587 39841024 41708572 44198636 46276096 52684512 55829856 59761536 62562858 66297954 69414144 70246016 74439808 77929174 79682048 83417144 88397272 105369024 111659712 116893761 119523072 125125716 132595908 138828288 140492032 148879616 155858348 166834288 176794544 210738048 223319424 233787522 239046144 250251432 265191816 280984064 297759232 311716696 333668576 353589088 421476096 446638848 467575044 500502864 530383632 623433392 667337152 707178176 740327153 842952192 893277696 935150088 1001005728 1060767264 1246866784 1334674304 1414356352 1480654306 1870300176 2002011456 2121534528 2220981459 2493733568 2669348608 2828712704 2961308612 3740600352 4004022912 4243069056 4441962918 4987467136 5338697216 5657425408 5922617224 7481200704 8008045824 8486138112 8883925836 9974934272 11845234448 14962401408 16016091648 16972276224 17767851672 19949868544 23690468896 29924802816 35535703344 47380937792 59849605632 71071406688 94761875584 142142813376 189523751168 284285626752 379047502336 568571253504 1137142507008
- Sum of all divisors σ(n): 3282441338880
- Sum of proper divisors (its aliquot sum) s(n): 2145298831872
- 1137142507008 is an abundant number, because the sum of its proper divisors (2145298831872) is greater than itself. Its abundance is 1008156324864
Bases of 1137142507008
- Binary: 100001000110000101111100110100110000000002
- Hexadecimal: 0x108C2F9A600
- Base-36: EIE9ADXC
Squares and roots of 1137142507008
- 1137142507008 squared (11371425070082) is 1293093081244439329112064
- 1137142507008 cubed (11371425070083) is 1470431108201001163165846055537344512
-
The
square root of 1137142507008 is 1066368.8419154041 -
The
cube root of 1137142507008 is 10437.7037118743
Scales and comparisons
How big is 1137142507008?- 1,137,142,507,008 seconds is equal to 36,157 years, 31 weeks, 6 days, 14 hours, 36 minutes, 48 seconds.
-
To count from 1 to 1,137,142,507,008 would take you about ninety thousand, three hundred ninety-four 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 1137142507008 cubic inches would be around 869.8 feet tall.
Recreational maths with 1137142507008
- 1137142507008 backwards is 8007052417311
- The number of decimal digits it has is: 13
- The sum of 1137142507008's digits is 39
- More coming soon!
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