137978879220
137,978,879,220 is an even composite number composed of eight prime numbers multiplied together.
137978879220 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137978879220:
22 × 33 × 5 × 7 × 13 × 17 × 331 × 499
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 17 × 331 × 499)See below for interesting mathematical facts about the number 137978879220 from the Numbermatics database.
Names of 137978879220
- Cardinal: 137978879220 can be written as One hundred thirty-seven billion, nine hundred seventy-eight million, eight hundred seventy-nine thousand, two hundred twenty.
Scientific notation
- Scientific notation: 1.3797887922 × 1011
Factors of 137978879220
Divisors of 137978879220
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 17 18 20 21 26 27 28 30 34 35 36 39 42 45 51 52 54 60 63 65 68 70 78 84 85 90 91 102 105 108 117 119 126 130 135 140 153 156 170 180 182 189 195 204 210 221 234 238 252 255 260 270 273 306 315 331 340 351 357 364 378 390 420 442 455 459 468 476 499 510 540 546 585 595 612 630 662 663 702 714 756 765 780 819 884 910 918 945 993 998 1020 1071 1092 1105 1170 1190 1260 1324 1326 1365 1404 1428 1497 1530 1547 1638 1655 1755 1785 1820 1836 1890 1986 1989 1996 2142 2210 2295 2317 2340 2380 2457 2495 2652 2730 2979 2994 3060 3094 3213 3276 3310 3315 3493 3510 3570 3780 3972 3978 4095 4284 4303 4420 4491 4590 4634 4641 4914 4965 4990 5355 5460 5627 5958 5967 5988 6188 6426 6487 6620 6630 6951 6986 7020 7140 7485 7735 7956 8190 8483 8606 8937 8982 9180 9268 9282 9828 9930 9945 9980 10479 10710 11254 11585 11916 11934 12285 12852 12909 12974 13260 13473 13902 13923 13972 14895 14970 15470 16065 16380 16881 16966 17212 17465 17874 17964 18564 19461 19860 19890 20853 20958 21420 21515 22455 22508 23170 23205 23868 24570 25449 25818 25948 26946 27804 27846 28135 29790 29835 29940 30121 30940 31437 32130 32435 33762 33932 34755 34930 35748 38727 38922 39389 39780 41706 41769 41916 42415 43030 44685 44910 45409 46340 46410 49140 50643 50898 51636 52395 53892 55692 56270 58383 59381 59580 59670 60242 62559 62874 64260 64545 64870 67365 67524 69510 69615 69860 73151 76347 77454 77844 78778 83412 83538 84405 84830 86060 89370 89820 90363 90818 92820 94311 97305 101286 101796 104265 104790 110279 112540 116181 116766 118167 118762 119340 120484 125118 125748 127245 129090 129740 134730 136227 139020 139230 146302 150605 151929 152694 154908 157185 157556 165169 167076 168810 169660 175149 178143 178740 180726 181636 188622 193635 194610 196945 202572 208530 208845 209580 219453 220558 227045 229041 232362 233532 236334 237524 250236 253215 254490 258180 269460 271089 272454 278460 291915 292604 296905 301210 303858 305388 312795 314370 330338 330837 337620 350298 354501 356286 361452 365755 377244 381735 387270 389220 393890 408681 417060 417690 438906 441116 451815 454090 458082 464724 471555 472668 495507 506430 508980 512057 534429 542178 544908 551395 580905 583830 590835 593810 602420 607716 625590 628740 658359 660676 661674 681135 700596 709002 712572 731510 759645 763470 771953 774540 787780 813267 817362 825845 835380 875745 877812 890715 903630 908180 916164 943110 991014 992511 1012860 1024114 1063503 1068858 1084356 1097265 1102790 1145205 1156183 1161810 1167660 1181670 1187620 1226043 1251180 1316718 1323348 1355445 1362270 1418004 1463020 1486521 1519290 1526940 1536171 1543906 1603287 1626534 1634724 1651690 1654185 1751490 1772505 1781430 1807260 1886220 1975077 1982028 1985022 2043405 2048228 2127006 2137716 2147197 2194530 2205580 2290410 2312366 2315859 2323620 2363340 2452086 2477535 2560285 2633436 2672145 2710890 2724540 2807873 2973042 2977533 3038580 3072342 3087812 3206574 3253068 3291795 3303380 3308370 3468549 3502980 3545010 3562860 3859765 3950154 3970044 4066335 4086810 4254012 4294394 4389060 4459563 4580820 4608513 4624732 4631718 4904172 4955070 4962555 5120570 5317515 5344290 5421780 5615746 5780915 5946084 5955066 6130215 6144684 6413148 6441591 6583590 6616740 6937098 6947577 7090020 7432605 7680855 7719530 7900308 8016435 8132670 8173620 8423619 8588788 8919126 9217026 9263436 9875385 9910140 9925110 10241140 10405647 10635030 10688580 10735985 11231492 11561830 11579295 11910132 12260430 12883182 13167180 13825539 13874196 13895154 14039365 14865210 14887665 15030379 15361710 15439060 16032870 16265340 16847238 17342745 17838252 18434052 19324773 19655111 19750770 19850220 20811294 20842731 21270060 21471970 22297815 23042565 23123660 23158590 24520860 25270857 25766364 27651078 27790308 28078730 29730420 29775330 30060758 30723420 31216941 32065740 32207955 33694476 34685490 34737885 36502349 38649546 39310222 39501540 41622588 41685462 42118095 42943940 44595630 45091137 46085130 46317180 50541714 52028235 55302156 56157460 57974319 58965333 59550660 60121516 62433882 64415910 69127695 69370980 69475770 73004698 75151895 75812571 77299092 78620444 83370924 84236190 89191260 90182274 92170260 96623865 98275555 101083428 104056470 104213655 109507047 115948638 117930666 124867764 126354285 128831820 135273411 138255390 138951540 146009396 150303790 151625142 156084705 168472380 176895999 180364548 182511745 193247730 196551110 208112940 208427310 219014094 225455685 231897276 235861332 252708570 255516443 270546822 276510780 289871595 294826665 300607580 303250284 312169410 328521141 353791998 365023490 379062855 386495460 393102220 405820233 416854620 438028188 450911370 505417140 511032886 530687997 541093644 547535235 579743190 589653330 624338820 657042282 676367055 707583996 730046980 758125710 766549329 811640466 884479995 901822740 985563423 1022065772 1061375994 1095070470 1159486380 1179306660 1277582215 1314084564 1352734110 1516251420 1533098658 1623280932 1642605705 1768959990 1971126846 2029101165 2122751988 2190140940 2299647987 2555164430 2653439985 2705468220 3066197316 3285211410 3537919980 3832746645 3942253692 4058202330 4599295974 4927817115 5110328860 5306879970 6570422820 6898943961 7665493290 8116404660 9198591948 9855634230 10613759940 11498239935 13797887922 15330986580 19711268460 22996479870 27595775844 34494719805 45992959740 68989439610 137978879220
- Sum of all divisors σ(n): 562222080000
- Sum of proper divisors (its aliquot sum) s(n): 424243200780
- 137978879220 is an abundant number, because the sum of its proper divisors (424243200780) is greater than itself. Its abundance is 286264321560
Bases of 137978879220
- Binary: 100000001000000010111010011100111101002
- Hexadecimal: 0x20202E9CF4
- Base-36: 1RDX28L0
Squares and roots of 137978879220
- 137978879220 squared (1379788792202) is 19038171110807347808400
- 137978879220 cubed (1379788792203) is 2626865512267780279943755301448000
-
The
square root of 137978879220 is 371455.0837180721 -
The
cube root of 137978879220 is 5167.3856041713
Scales and comparisons
How big is 137978879220?- 137,978,879,220 seconds is equal to 4,387 years, 15 weeks, 4 days, 18 hours, 27 minutes.
-
To count from 1 to 137,978,879,220 would take you about eight thousand, seven hundred seventy-four 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 137978879220 cubic inches would be around 430.6 feet tall.
Recreational maths with 137978879220
- 137978879220 backwards is 022978879731
- 137978879220 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137978879220's digits is 63
- More coming soon!
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