40117149072

Names of 40117149072

• Cardinal: 40117149072 can be written as Forty billion, one hundred seventeen million, one hundred forty-nine thousand and seventy-two.

Scientific notation

• Scientific notation: 4.0117149072 × 10¹⁰

Factors of 40117149072

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 522

Divisors of 40117149072

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 29 33 36 39 42 44 48 49 52 54 56 58 63 66 72 77 78 84 87 88 91 98 99 104 108 112 116 117 126 132 143 144 147 154 156 168 174 176 182 189 196 198 203 208 216 231 232 234 252 261 264 273 286 294 297 308 312 319 336 348 351 364 377 378 392 396 406 429 432 441 457 462 464 468 504 522 528 539 546 572 588 594 609 616 624 637 638 693 696 702 728 754 756 783 784 792 812 819 858 882 914 924 936 957 1001 1008 1044 1078 1092 1131 1144 1176 1188 1218 1232 1274 1276 1287 1323 1371 1386 1392 1404 1421 1456 1508 1512 1566 1584 1617 1624 1638 1716 1764 1827 1828 1848 1872 1911 1914 2002 2079 2088 2156 2184 2233 2262 2288 2352 2376 2436 2457 2548 2552 2574 2639 2646 2742 2772 2808 2842 2871 3003 3016 3024 3132 3199 3234 3248 3276 3393 3432 3528 3654 3656 3696 3822 3828 3861 4004 4113 4147 4158 4176 4263 4312 4368 4466 4524 4752 4851 4872 4914 5027 5096 5104 5148 5278 5292 5481 5484 5544 5616 5684 5733 5742 5941 6006 6032 6264 6398 6468 6552 6699 6786 6864 7007 7056 7308 7312 7644 7656 7722 7917 8008 8226 8294 8316 8526 8613 8624 8932 9009 9048 9597 9702 9744 9828 10054 10179 10192 10296 10556 10584 10962 10968 11088 11368 11466 11484 11882 12012 12339 12441 12528 12789 12796 12936 13104 13253 13398 13572 14014 14553 14616 15081 15288 15312 15444 15631 15834 16016 16452 16588 16632 17052 17199 17226 17823 17864 18018 18096 18473 19194 19404 19656 20097 20108 20358 20592 21021 21112 21168 21924 21936 22393 22736 22932 22968 23751 23764 24024 24678 24882 25578 25592 25872 26506 26796 27027 27144 28028 28791 29029 29106 29232 30162 30576 30888 31262 31668 32904 33176 33264 34104 34398 34452 35189 35646 35728 36036 36946 37323 38367 38388 38808 39312 39759 40194 40216 40716 41587 42042 42224 43848 44786 45243 45864 45936 46893 47502 47528 48048 49356 49764 51156 51184 53012 53469 53592 54054 54288 55419 56056 57582 58058 58212 60291 60324 61776 62524 63063 63336 65351 65808 66352 67179 68208 68796 68904 70378 71253 71292 72072 73892 74646 76734 76776 77616 79518 80388 80432 81432 83174 84084 86373 87087 87696 89572 90486 91728 92771 93786 95004 95056 98712 99528 102312 105567 106024 106938 107184 108108 110838 111969 112112 115164 116116 116424 119277 120582 120648 124761 125048 126126 126672 130702 134358 135729 137592 137808 140679 140756 142506 142584 144144 145783 147784 149292 153468 153552 159036 160407 160776 162864 166257 166348 168168 172289 172746 174174 179144 180972 185542 187572 189189 190008 196053 197424 199056 201537 203203 204624 211134 212048 213876 216216 221676 223938 230328 232232 232848 238554 241164 241296 246323 249522 250096 252252 261261 261404 268716 271458 275184 278313 281358 281512 285012 285168 291109 291566 295568 298584 306936 316701 318072 320814 321552 332514 332696 336336 344578 345492 348348 357831 358288 361944 371084 374283 375144 378378 380016 392106 403074 406406 422037 422268 427752 432432 437349 443352 447876 457457 460656 464464 477108 482328 492646 498771 499044 504504 516867 522522 522808 537432 542916 556626 562716 563024 570024 582218 583132 588159 597168 604611 609609 613872 633402 636144 641628 649397 665028 665392 689156 690984 696696 715662 723888 738969 742168 748566 750288 756756 783783 784212 806148 812812 834939 844074 844536 855504 873327 874698 886704 895752 914914 950103 954216 964656 985292 997542 998088 1009008 1020481 1033734 1045044 1045616 1074864 1085832 1113252 1122849 1125432 1140048 1164436 1166264 1176318 1206023 1209222 1219218 1266804 1283256 1298794 1312047 1330056 1372371 1378312 1381968 1393392 1431324 1477938 1484336 1497132 1513512 1550601 1567566 1568424 1612296 1625624 1669878 1688148 1689072 1746654 1749396 1764477 1791504 1828827 1829828 1895179 1900206 1908432 1948191 1970584 1995084 1996176 2040962 2067468 2090088 2171664 2216907 2226504 2245698 2250864 2328872 2332528 2352636 2412046 2418444 2438436 2504817 2533608 2566512 2597588 2619981 2624094 2660112 2744742 2756624 2862648 2955876 2994264 3027024 3061443 3101202 3135132 3136848 3202199 3224592 3251248 3339756 3376296 3493308 3498792 3528954 3618069 3657654 3659656 3790358 3800412 3896382 3936141 3941168 3990168 4081924 4117113 4134936 4180176 4433814 4453008 4491396 4651803 4657744 4705272 4824092 4836888 4876872 5009634 5067216 5195176 5239962 5248188 5486481 5489484 5685537 5725296 5844573 5911752 5988528 6122886 6202404 6270264 6404398 6650721 6679512 6752592 6986616 6997584 7057908 7143367 7236138 7315308 7319312 7580716 7600824 7792764 7859943 7872282 7980336 8163848 8234226 8269872 8442161 8867628 8982792 9184329 9303606 9410544 9606597 9648184 9673776 9753744 10019268 10390352 10479924 10496376 10854207 10972962 10978968 11371074 11689146 11823504 12245772 12351339 12404808 12540528 12808796 13266253 13301442 13359024 13973232 14115816 14286734 14472276 14630616 15161432 15201648 15585528 15719886 15744564 16327696 16468452 16884322 17056611 17533719 17735256 17965584 18368658 18607212 19213194 19296368 20038536 20959848 20992752 21430101 21708414 21945924 21957936 22742148 23378292 24491544 24702678 24809616 25326483 25617592 26532506 26602884 27552987 28231632 28573468 28819791 28944552 29261232 30322864 31171056 31439772 31489128 32562621 32936904 33768644 34113222 35067438 35470512 36737316 37214424 38426388 39798759 40077072 41919696 42860202 43416828 43891848 45484296 46756584 48983088 49405356 50652966 51169833 51235184 53065012 53205768 55105974 57146936 57639582 57889104 62879544 62978256 64290303 65125242 65873808 67537288 68226444 70134876 73474632 74428848 75979449 76852776 79597518 85720404 86459373 86833656 87783696 90968592 92863771 93513168 98810712 101305932 102339666 106130024 106411536 110211948 114293872 115279164 119396277 125759088 128580606 130250484 135074576 136452888 140269752 146949264 151958898 153705552 159195036 171440808 172918746 173667312 185727542 192870909 197621424 202611864 204679332 212260048 220423896 227938347 230558328 238792554 257161212 260500968 272905776 278591313 280539504 303917796 318390072 342881616 345837492 358188831 371455084 385741818 405223728 409358664 440847792 455876694 461116656 477585108 514322424 521001936 557182626 607835592 636780144 691674984 716377662 742910168 771483636 818717328 835773939 911753388 955170216 1028644848 1114365252 1215671184 1383349968 1432755324 1485820336 1542967272 1671547878 1823506776 1910340432 2228730504 2507321817 2865510648 3085934544 3343095756 3647013552 4457461008 5014643634 5731021296 6686191512 10029287268 13372383024 20058574536 40117149072
• Sum of all divisors σ(n): 163152057600
• Sum of proper divisors (its aliquot sum) s(n): 123034908528
• 40117149072 is an abundant number, because the sum of its proper divisors (123034908528) is greater than itself. Its abundance is 82917759456

Bases of 40117149072

• Binary: 100101010111001010110001110110010000₂
• Hexadecimal: 0x9572B1D90
• Base-36: IFGPQC0

Squares and roots of 40117149072

• 40117149072 squared (40117149072²) is 1609385649665070461184
• 40117149072 cubed (40117149072³) is 64563964021951198562702317621248
• The square root of 40117149072 is 200292.6585574219
• The cube root of 40117149072 is 3423.2873408529

Scales and comparisons

• 40,117,149,072 seconds is equal to 1,275 years, 31 weeks, 1 day, 20 hours, 31 minutes, 12 seconds.
• To count from 1 to 40,117,149,072 would take you about two thousand, five hundred fifty-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 40117149072 cubic inches would be around 285.3 feet tall.

Recreational maths with 40117149072

• 40117149072 backwards is 27094171104
• 40117149072 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40117149072's digits is 36
• More coming soon!