34375446144

Names of 34375446144

• Cardinal: 34375446144 can be written as Thirty-four billion, three hundred seventy-five million, four hundred forty-six thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 3.4375446144 × 10¹⁰

Factors of 34375446144

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 229

Divisors of 34375446144

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 37 39 48 52 54 61 64 72 74 78 81 96 104 108 111 113 117 122 128 144 148 156 162 183 192 208 216 222 226 234 244 288 296 312 324 333 339 351 366 384 416 432 444 452 468 481 488 549 576 592 624 648 666 678 702 732 793 832 864 888 904 936 962 976 999 1017 1053 1098 1152 1184 1248 1296 1332 1356 1404 1443 1464 1469 1586 1647 1664 1728 1776 1808 1872 1924 1952 1998 2034 2106 2196 2257 2368 2379 2496 2592 2664 2712 2808 2886 2928 2938 2997 3051 3172 3294 3456 3552 3616 3744 3848 3904 3996 4068 4181 4212 4329 4392 4407 4514 4736 4758 4941 4992 5184 5328 5424 5616 5772 5856 5876 5994 6102 6344 6588 6771 6893 7104 7137 7232 7488 7696 7808 7992 8136 8362 8424 8658 8784 8814 9028 9153 9516 9882 10368 10656 10848 11232 11544 11712 11752 11988 12204 12543 12688 12987 13176 13221 13542 13786 14208 14274 14464 14976 15392 15984 16272 16724 16848 17316 17568 17628 18056 18306 19032 19764 20313 20679 21312 21411 21696 22464 23088 23424 23504 23976 24408 25086 25376 25974 26352 26442 27084 27572 28548 29341 30784 31968 32544 33448 33696 34632 35136 35256 36112 36612 37629 38064 38961 39528 39663 40626 41358 42624 42822 43392 44928 46176 47008 47952 48816 50172 50752 51948 52704 52884 54168 54353 55144 57096 58682 60939 61568 62037 63936 64233 65088 66896 67392 69264 70272 70512 72224 73224 75258 76128 77922 79056 79326 81252 82716 85644 88023 89609 92352 94016 95904 97632 100344 101504 103896 105408 105768 108336 108706 110288 112887 114192 117364 118989 121878 124074 127872 128466 130176 133792 134784 138528 141024 144448 146448 150516 152256 155844 158112 158652 162504 163059 165432 171288 176046 179218 182817 184704 186111 188032 191808 195264 200688 207792 210816 211536 216672 217412 220576 225774 228384 234728 237978 243756 248148 255041 256932 264069 267584 268827 277056 282048 288896 292896 301032 304512 311688 316224 317304 325008 326118 330864 338661 342576 352092 358436 365634 372222 383616 390528 401376 415584 423072 433344 434824 441152 451548 456768 469456 475956 487512 489177 496296 510082 513864 528138 535168 537654 554112 558333 564096 585792 602064 623376 632448 634608 650016 652236 661728 677322 685152 704184 716872 731268 744444 765123 792207 802752 806481 831168 846144 866688 869648 882304 903096 913536 938912 951912 975024 978354 992592 1020164 1027728 1056276 1075308 1116666 1171584 1204128 1246752 1269216 1300032 1304472 1323456 1354644 1370304 1408368 1433744 1462536 1467531 1488888 1530246 1584414 1605504 1612962 1662336 1692288 1739296 1806192 1877824 1903824 1950048 1956708 1985184 2040328 2055456 2112552 2150616 2233332 2295369 2376621 2408256 2419443 2493504 2538432 2600064 2608944 2646912 2709288 2740608 2816736 2867488 2925072 2935062 2977776 3060492 3168828 3225924 3315533 3478592 3612384 3755648 3807648 3900096 3913416 3970368 4080656 4110912 4225104 4301232 4402593 4466664 4590738 4753242 4816512 4838886 4987008 5076864 5217888 5418576 5633472 5734976 5850144 5870124 5955552 6120984 6337656 6451848 6631066 6886107 6957184 7224768 7258329 7615296 7800192 7826832 7940736 8161312 8221824 8450208 8602464 8805186 8933328 9181476 9506484 9677772 9946599 10435776 10837152 11266944 11469952 11700288 11740248 11911104 12241968 12675312 12903696 13262132 13772214 14449536 14516658 15230592 15653664 16322624 16900416 17204928 17610372 17866656 18362952 19012968 19355544 19893198 20658321 20871552 21674304 23400576 23480496 23822208 24483936 25350624 25807392 26524264 27544428 29033316 29839797 31307328 32645248 33800832 34409856 35220744 35733312 36725904 38025936 38711088 39786396 41316642 43348608 46960992 48967872 50701248 51614784 53048528 55088856 58066632 59679594 62614656 70441488 71466624 73451808 76051872 77422176 79572792 82633284 89519391 93921984 97935744 101402496 103229568 106097056 110177712 116133264 119359188 140882976 146903616 152103744 154844352 159145584 165266568 179038782 187843968 212194112 220355424 232266528 238718376 268558173 281765952 293807232 304207488 309688704 318291168 330533136 358077564 424388224 440710848 464533056 477436752 537116346 563531904 636582336 661066272 716155128 881421696 929066112 954873504 1074232692 1273164672 1322132544 1432310256 1909747008 2148465384 2644265088 2864620512 3819494016 4296930768 5729241024 8593861536 11458482048 17187723072 34375446144
• Sum of all divisors σ(n): 116020230480
• Sum of proper divisors (its aliquot sum) s(n): 81644784336
• 34375446144 is an abundant number, because the sum of its proper divisors (81644784336) is greater than itself. Its abundance is 47269338192

Bases of 34375446144

• Binary: 100000000000111011111010111010000000₂
• Hexadecimal: 0x800EFAE80
• Base-36: FSI9400

Squares and roots of 34375446144

• 34375446144 squared (34375446144²) is 1181671297599044468736
• 34375446144 cubed (34375446144³) is 40620478050526549640895459753984
• The square root of 34375446144 is 185406.1653343815
• The cube root of 34375446144 is 3251.4926837603

Scales and comparisons

• 34,375,446,144 seconds is equal to 1,093 years, 1 week, 4 days, 23 hours, 2 minutes, 24 seconds.
• To count from 1 to 34,375,446,144 would take you about two thousand, one hundred eighty-six 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 34375446144 cubic inches would be around 271 feet tall.

Recreational maths with 34375446144

• 34375446144 backwards is 44164457343
• The number of decimal digits it has is: 11
• The sum of 34375446144's digits is 45
• More coming soon!