34144473792

Names of 34144473792

• Cardinal: 34144473792 can be written as Thirty-four billion, one hundred forty-four million, four hundred seventy-three thousand, seven hundred ninety-two.

Scientific notation

• Scientific notation: 3.4144473792 × 10¹⁰

Factors of 34144473792

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 175

Divisors of 34144473792

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 16 19 22 24 26 29 32 33 37 38 39 44 48 52 57 58 61 64 66 74 76 78 87 88 96 104 111 114 116 122 132 143 148 152 156 174 176 183 192 208 209 222 228 232 244 247 264 286 296 304 312 319 348 352 366 377 407 416 418 429 444 456 464 481 488 494 528 551 572 592 608 624 627 638 671 696 703 704 732 741 754 793 814 832 836 858 888 912 928 957 962 976 988 1056 1073 1102 1131 1144 1159 1184 1216 1221 1248 1254 1276 1342 1392 1406 1443 1464 1482 1508 1586 1628 1653 1672 1716 1769 1776 1824 1856 1914 1924 1952 1976 2013 2109 2112 2146 2204 2257 2262 2288 2318 2368 2379 2442 2496 2508 2552 2684 2717 2784 2812 2886 2928 2964 3016 3172 3219 3256 3306 3344 3432 3477 3538 3552 3648 3828 3848 3904 3952 4026 4147 4218 4292 4408 4514 4524 4576 4636 4758 4884 5016 5104 5291 5307 5368 5434 5568 5624 5772 5856 5928 6032 6061 6344 6438 6512 6612 6688 6771 6864 6954 7076 7104 7163 7656 7696 7733 7904 8052 8151 8294 8436 8584 8723 8816 9028 9048 9139 9152 9272 9516 9768 10032 10208 10582 10614 10736 10868 11248 11544 11712 11803 11856 12064 12122 12441 12688 12749 12876 13024 13224 13376 13542 13728 13908 13949 14152 14326 15067 15312 15392 15466 15808 15873 16104 16302 16588 16872 17168 17446 17632 18056 18096 18183 18278 18544 19032 19459 19536 20064 20387 20416 21164 21228 21472 21489 21736 22496 22997 23088 23199 23606 23712 24128 24244 24827 24882 25376 25498 25752 26048 26169 26448 27084 27417 27456 27816 27898 28304 28652 29341 30134 30624 30784 30932 31746 32208 32604 33176 33611 33744 34336 34892 35264 35409 36112 36192 36366 36556 37088 38064 38247 38918 39072 40128 40774 41847 42328 42456 42883 42944 42978 43472 44992 45201 45994 46176 46398 47212 47424 48488 49654 49764 50752 50996 51504 52338 52896 54168 54834 55632 55796 56608 57304 58377 58682 60268 61161 61248 61864 63492 64416 65208 65453 66352 67222 67488 68672 68991 69784 70818 72224 72384 72732 73112 74176 74481 76128 76494 77836 78144 78793 81548 83694 84656 84912 85766 85956 86944 88023 90402 91988 92352 92796 94424 96976 99308 99528 100529 100833 101992 103008 104676 105792 108336 109668 111264 111592 113216 114608 116754 117364 120536 122322 123728 126984 128649 128832 130416 130906 132704 134444 134976 137982 139568 141636 144448 145464 146224 148962 152256 152988 153439 155672 157586 163096 165737 167388 169312 169824 171532 171912 173888 176046 180804 183976 185592 188848 193952 196359 198616 199056 201058 201666 203984 206016 209352 216672 219336 222528 223184 224257 229216 233508 234728 236379 241072 244644 247456 252967 253968 257298 260832 261812 265031 265408 268888 275964 279136 283272 290928 292448 297924 301587 305976 306878 311344 315172 322751 326192 331474 334776 338624 339648 343064 343824 352092 361608 367952 369721 371184 377696 387904 392718 397232 398112 402116 403332 407968 418704 433344 436943 438672 446368 448514 458432 460317 467016 469456 471713 472758 482144 489288 494912 497211 505934 507936 514596 521664 523624 530062 537776 551928 557479 558272 566544 581856 584896 595848 603174 611952 613756 622688 630344 645502 652384 662948 669552 672771 686128 687648 704184 719983 723216 735904 739442 742368 755392 758901 785436 794464 795093 796224 804232 806664 815936 837408 850889 873886 877344 892736 897028 920634 934032 938912 943426 945516 964288 968253 978576 994422 1011868 1015872 1029192 1047248 1060124 1075552 1103856 1109163 1114958 1133088 1163712 1191696 1206348 1223904 1227512 1243607 1245376 1260688 1291004 1304768 1310829 1325896 1339104 1345542 1372256 1375296 1408368 1415139 1439966 1446432 1471808 1478884 1484736 1517802 1570872 1588928 1590186 1608464 1613328 1672437 1674816 1701778 1747772 1754688 1794056 1841268 1868064 1877824 1886852 1891032 1936506 1957152 1988844 2023736 2058384 2094496 2120248 2151104 2159949 2207712 2218326 2229916 2266176 2383392 2412696 2447808 2455024 2487214 2521376 2552667 2582008 2621658 2651792 2678208 2691084 2744512 2816736 2830278 2879932 2892864 2915341 2957768 3035604 3141744 3180372 3216928 3226656 3344874 3403556 3495544 3588112 3682536 3730821 3736128 3773704 3782064 3873012 3914304 3977688 4047472 4116768 4188992 4240496 4319898 4415424 4436652 4459832 4766784 4806373 4825392 4910048 4974428 5042752 5105334 5164016 5243316 5303584 5382168 5633472 5660556 5759864 5830682 5915536 6071208 6132269 6283488 6360744 6433856 6453312 6689748 6807112 6991088 7176224 7365072 7461642 7547408 7564128 7746024 7955376 8094944 8233536 8480992 8639796 8746023 8873304 8919664 9359779 9612746 9650784 9820096 9948856 10210668 10328032 10486632 10607168 10764336 11321112 11519728 11661364 11831072 12142416 12264538 12566976 12721488 13379496 13614224 13679677 13982176 14352448 14419119 14730144 14923284 15094816 15128256 15492048 15910752 16166891 16189888 16961984 17279592 17492046 17746608 17839328 18396807 18719558 19225492 19301568 19897712 20421336 20656064 20973264 21528672 22642224 23039456 23322728 23662144 24284832 24529076 25442976 26758992 27228448 27359354 27964352 28079337 28838238 29460288 29846568 30189632 30984096 31821504 32333782 34559184 34984092 35493216 35678656 36793614 37439116 38450984 39795424 40842672 41039031 41946528 43057344 45284448 46078912 46645456 48500673 48569664 49058152 50885952 53517984 54456896 54718708 56158674 57676476 59693136 61968192 64667564 69118368 69968184 70986432 73587228 74878232 76901968 79590848 81685344 82078062 83893056 90568896 93290912 97001346 98116304 107035968 109437416 112317348 115352952 119386272 129335128 138236736 139936368 147174456 149756464 153803936 163370688 164156124 177835801 186581824 194002692 196232608 218874832 224634696 230705904 238772544 258670256 279872736 294348912 299512928 307607872 328312248 355671602 388005384 392465216 437749664 449269392 461411808 517340512 533507403 559745472 588697824 599025856 656624496 711343204 776010768 875499328 898538784 922823616 1034681024 1067014806 1177395648 1313248992 1422686408 1552021536 1797077568 2134029612 2626497984 2845372816 3104043072 4268059224 5690745632 8536118448 11381491264 17072236896 34144473792
• Sum of all divisors σ(n): 120642278400
• Sum of proper divisors (its aliquot sum) s(n): 86497804608
• 34144473792 is an abundant number, because the sum of its proper divisors (86497804608) is greater than itself. Its abundance is 52353330816

Bases of 34144473792

• Binary: 11111110011001010110101001011000000₂
• Hexadecimal: 0x7F32B52C0
• Base-36: FOOQKLC

Squares and roots of 34144473792

• 34144473792 squared (34144473792²) is 1165845090532574859264
• 34144473792 cubed (34144473792³) is 39807167139221369604417736409088
• The square root of 34144473792 is 184782.2334316805
• The cube root of 34144473792 is 3244.1939348765

Scales and comparisons

• 34,144,473,792 seconds is equal to 1,085 years, 35 weeks, 5 days, 16 hours, 3 minutes, 12 seconds.
• To count from 1 to 34,144,473,792 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 34144473792 cubic inches would be around 270.3 feet tall.

Recreational maths with 34144473792

• 34144473792 backwards is 29737444143
• 34144473792 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 34144473792's digits is 48
• More coming soon!