34374292992
34,374,292,992 is an even composite number composed of six prime numbers multiplied together.
What does the number 34374292992 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
34374292992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 34374292992:
29 × 32 × 13 × 29 × 47 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 29 × 47 × 421)See below for interesting mathematical facts about the number 34374292992 from the Numbermatics database.
Names of 34374292992
- Cardinal: 34374292992 can be written as Thirty-four billion, three hundred seventy-four million, two hundred ninety-two thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 3.4374292992 × 1010
Factors of 34374292992
Divisors of 34374292992
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 47 48 52 58 64 72 78 87 94 96 104 116 117 128 141 144 156 174 188 192 208 232 234 256 261 282 288 312 348 376 377 384 416 421 423 464 468 512 522 564 576 611 624 696 752 754 768 832 842 846 928 936 1044 1128 1131 1152 1222 1248 1263 1363 1392 1504 1508 1536 1664 1684 1692 1833 1856 1872 2088 2256 2262 2304 2444 2496 2526 2726 2784 3008 3016 3328 3368 3384 3393 3666 3712 3744 3789 4089 4176 4512 4524 4608 4888 4992 5052 5452 5473 5499 5568 6016 6032 6656 6736 6768 6786 7332 7424 7488 7578 8178 8352 9024 9048 9776 9984 10104 10904 10946 10998 11136 12032 12064 12209 12267 13472 13536 13572 14664 14848 14976 15156 16356 16419 16704 17719 18048 18096 19552 19787 19968 20208 21808 21892 21996 22272 24064 24128 24418 24534 26944 27072 27144 29328 29952 30312 32712 32838 33408 35438 36096 36192 36627 39104 39574 40416 43616 43784 43992 44544 48256 48836 49068 49257 53157 53888 54144 54288 58656 59361 59904 60624 65424 65676 66816 70876 72192 72384 73254 78208 79148 80832 87232 87568 87984 96512 97672 98136 98514 106314 107776 108288 108576 109881 117312 118722 121248 130848 131352 133632 141752 144768 146508 156416 158296 158717 159471 161664 174464 175136 175968 178083 193024 195344 196272 197028 212628 215552 216576 217152 219762 234624 237444 242496 257231 261696 262704 283504 289536 293016 312832 316592 317434 318942 323328 348928 350272 351936 356166 390688 392544 394056 425256 434304 439524 469248 474888 476151 484992 514462 523392 525408 567008 573823 579072 586032 633184 634868 637884 646656 697856 700544 703872 712332 771693 781376 785088 788112 850512 868608 879048 938496 949776 952302 969984 1028924 1046784 1050816 1134016 1147646 1172064 1266368 1269736 1275768 1401088 1407744 1424664 1428453 1543386 1562752 1570176 1576224 1701024 1721469 1737216 1758096 1899552 1904604 1939968 2057848 2093568 2101632 2268032 2295292 2315079 2344128 2532736 2539472 2551536 2802176 2815488 2849328 2856906 3086772 3125504 3140352 3152448 3402048 3442938 3516192 3799104 3809208 4115696 4203264 4536064 4590584 4630158 4688256 5065472 5078944 5103072 5164407 5698656 5713812 6173544 6251008 6280704 6304896 6804096 6885876 7032384 7459699 7598208 7618416 8231392 8406528 9072128 9181168 9260316 9376512 10130944 10157888 10206144 10328814 11397312 11427624 12347088 12609792 13608192 13771752 14064768 14919398 15196416 15236832 16462784 18362336 18520632 18753024 20315776 20412288 20657628 22379097 22794624 22855248 24694176 25219584 27216384 27543504 28129536 29838796 30392832 30473664 32925568 36724672 37041264 40631552 40824576 41315256 44758194 45589248 45710496 49388352 55087008 56259072 59677592 60947328 65851136 67137291 73449344 74082528 81263104 81649152 82630512 89516388 91178496 91420992 98776704 110174016 119355184 121894656 131702272 134274582 146898688 148165056 165261024 179032776 182841984 197553408 220348032 238710368 243789312 268549164 293797376 296330112 330522048 358065552 365683968 395106816 440696064 477420736 537098328 592660224 661044096 716131104 731367936 881392128 954841472 1074196656 1185320448 1322088192 1432262208 1909682944 2148393312 2644176384 2864524416 3819365888 4296786624 5729048832 8593573248 11458097664 17187146496 34374292992
- Sum of all divisors σ(n): 113141508480
- Sum of proper divisors (its aliquot sum) s(n): 78767215488
- 34374292992 is an abundant number, because the sum of its proper divisors (78767215488) is greater than itself. Its abundance is 44392922496
Bases of 34374292992
- Binary: 1000000000001101111000010110000000002
- Hexadecimal: 0x800DE1600
- Base-36: FSHKE80
Squares and roots of 34374292992
- 34374292992 squared (343742929922) is 1181592018699860312064
- 34374292992 cubed (343742929923) is 40616390247797741276360488255488
-
The
square root of 34374292992 is 185403.0555088023 -
The
cube root of 34374292992 is 3251.4563253741
Scales and comparisons
How big is 34374292992?- 34,374,292,992 seconds is equal to 1,092 years, 51 weeks, 5 days, 14 hours, 43 minutes, 12 seconds.
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To count from 1 to 34,374,292,992 would take you about two thousand, one hundred eighty-five 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 34374292992 cubic inches would be around 271 feet tall.
Recreational maths with 34374292992
- 34374292992 backwards is 29929247343
- The number of decimal digits it has is: 11
- The sum of 34374292992's digits is 54
- More coming soon!
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