40144240640

Names of 40144240640

• Cardinal: 40144240640 can be written as Forty billion, one hundred forty-four million, two hundred forty thousand, six hundred forty.

Scientific notation

• Scientific notation: 4.014424064 × 10¹⁰

Factors of 40144240640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 131

Divisors of 40144240640

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 28 29 32 34 35 40 56 58 64 68 70 71 80 85 112 116 119 128 136 140 142 145 160 170 203 224 232 238 256 272 280 284 290 320 340 355 406 448 464 476 493 497 512 544 560 568 580 595 640 680 710 812 896 928 952 986 994 1015 1024 1088 1120 1136 1160 1190 1207 1280 1360 1420 1624 1792 1856 1904 1972 1988 2030 2048 2059 2176 2240 2272 2320 2380 2414 2465 2485 2560 2720 2840 3248 3451 3584 3712 3808 3944 3976 4060 4096 4118 4352 4480 4544 4640 4760 4828 4930 4970 5120 5440 5680 6035 6496 6902 7168 7424 7616 7888 7952 8120 8192 8236 8449 8704 8960 9088 9280 9520 9656 9860 9940 10240 10295 10880 11360 12070 12992 13804 14336 14413 14848 15232 15776 15904 16240 16384 16472 16898 17255 17408 17920 18176 18560 19040 19312 19720 19880 20480 20590 21760 22720 24140 25984 27608 28672 28826 29696 30464 31552 31808 32480 32768 32944 33796 34510 34816 35003 35840 36352 37120 38080 38624 39440 39760 40960 41180 42245 43520 45440 48280 51968 55216 57344 57652 59392 60928 63104 63616 64960 65888 67592 69020 69632 70006 71680 72065 72704 74240 76160 77248 78880 79520 81920 82360 84490 87040 90880 96560 103936 110432 114688 115304 118784 121856 126208 127232 129920 131776 135184 138040 139264 140012 143360 144130 145408 148480 152320 154496 157760 159040 163840 164720 168980 174080 175015 181760 193120 207872 220864 229376 230608 237568 243712 245021 252416 254464 259840 263552 270368 276080 278528 280024 286720 288260 290816 296960 304640 308992 315520 318080 329440 337960 348160 350030 363520 386240 415744 441728 461216 475136 487424 490042 504832 508928 519680 527104 540736 552160 557056 560048 573440 576520 581632 593920 609280 617984 631040 636160 658880 675920 696320 700060 727040 772480 831488 883456 922432 950272 974848 980084 1009664 1017856 1039360 1054208 1081472 1104320 1120096 1146880 1153040 1163264 1187840 1218560 1225105 1235968 1262080 1272320 1317760 1351840 1392640 1400120 1454080 1544960 1662976 1766912 1844864 1949696 1960168 2019328 2035712 2078720 2108416 2162944 2208640 2240192 2306080 2326528 2375680 2437120 2450210 2471936 2524160 2544640 2635520 2703680 2785280 2800240 2908160 3089920 3325952 3533824 3689728 3899392 3920336 4038656 4071424 4157440 4216832 4325888 4417280 4480384 4612160 4751360 4874240 4900420 4943872 5048320 5089280 5271040 5407360 5600480 5816320 6179840 6651904 7067648 7379456 7840672 8077312 8142848 8314880 8433664 8651776 8834560 8960768 9224320 9748480 9800840 9887744 10096640 10178560 10542080 10814720 11200960 11632640 12359680 14135296 14758912 15681344 16154624 16285696 16629760 16867328 17303552 17669120 17921536 18448640 19496960 19601680 19775488 20193280 20357120 21084160 21629440 22401920 24719360 28270592 29517824 31362688 33259520 33734656 34607104 35338240 35843072 36897280 39203360 39550976 40386560 40714240 42168320 43258880 44803840 49438720 56541184 59035648 62725376 67469312 69214208 70676480 71686144 73794560 78406720 80773120 81428480 84336640 86517760 89607680 98877440 113082368 118071296 125450752 138428416 141352960 143372288 147589120 156813440 168673280 173035520 179215360 197754880 236142592 250901504 276856832 282705920 286744576 295178240 313626880 337346560 346071040 358430720 472285184 501803008 565411840 573489152 590356480 627253760 692142080 716861440 1003606016 1146978304 1180712960 1254507520 1384284160 1433722880 2007212032 2361425920 2509015040 2867445760 4014424064 5018030080 5734891520 8028848128 10036060160 20072120320 40144240640
• Sum of all divisors σ(n): 122304038400
• Sum of proper divisors (its aliquot sum) s(n): 82159797760
• 40144240640 is an abundant number, because the sum of its proper divisors (82159797760) is greater than itself. Its abundance is 42015557120

Bases of 40144240640

• Binary: 100101011000110010001000000000000000₂
• Hexadecimal: 0x958C88000
• Base-36: IFWUEBK

Squares and roots of 40144240640

• 40144240640 squared (40144240640²) is 1611560056562227609600
• 40144240640 cubed (40144240640³) is 64694854716446076294234374144000
• The square root of 40144240640 is 200360.2771010261
• The cube root of 40144240640 is 3424.0577624401

Scales and comparisons

• 40,144,240,640 seconds is equal to 1,276 years, 24 weeks, 9 hours, 57 minutes, 20 seconds.
• To count from 1 to 40,144,240,640 would take you about two thousand, five hundred fifty-two 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 40144240640 cubic inches would be around 285.3 feet tall.

Recreational maths with 40144240640

• 40144240640 backwards is 04604244104
• 40144240640 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40144240640's digits is 29
• More coming soon!