972335968141120

Names of 972335968141120

• Cardinal: 972335968141120 can be written as Nine hundred seventy-two trillion, three hundred thirty-five billion, nine hundred sixty-eight million, one hundred forty-one thousand, one hundred twenty.

Scientific notation

• Scientific notation: 9.7233596814112 × 10¹⁴

Factors of 972335968141120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 141560

Divisors of 972335968141120

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 64 71 80 88 106 110 142 160 176 212 220 265 284 320 352 355 424 440 521 530 568 583 704 710 781 848 880 1042 1060 1136 1166 1420 1562 1696 1760 2084 2120 2272 2332 2605 2840 2915 3124 3392 3520 3763 3905 4168 4240 4544 4664 5210 5680 5731 5830 6248 7526 7810 8336 8480 9328 10420 11360 11462 11660 12496 15052 15620 16672 16960 18656 18815 20840 22720 22924 23320 24992 27613 28655 30104 31240 33344 36991 37312 37630 41393 41680 45848 46640 49984 55226 57310 60208 62480 73982 75260 82786 83360 91696 93280 110452 114620 120416 124960 138065 140897 147964 150520 165572 166720 183392 184955 186560 206965 220904 229240 240832 249920 276130 281794 295928 301040 303743 331144 366784 369910 406901 413930 441808 458480 552260 563588 591856 602080 607486 662288 704485 739820 813802 827860 883616 916960 1104520 1127176 1183712 1204160 1214972 1324576 1408970 1479640 1518715 1549867 1627604 1655720 1767232 1833920 1960523 2034505 2209040 2254352 2367424 2429944 2649152 2817940 2959280 3037430 3099734 3255208 3311440 3921046 4069010 4418080 4508704 4859888 5635880 5918560 6074860 6199468 6510416 6622880 7467541 7749335 7842092 8138020 8836160 9017408 9719776 9802615 10003687 11271760 11837120 12149720 12398936 13020832 13245760 14935082 15498670 15684184 16276040 19439552 19605230 20007374 21565753 22543520 24299440 24797872 26041664 29870164 30997340 31368368 32552080 37337705 39210460 40014748 43131506 45087040 48598880 49595744 50018435 59740328 61994680 62736736 65104160 73407337 74675410 78420920 80029496 82142951 86263012 97197760 99191488 100036870 107828765 110040557 119480656 123989360 125473472 130208320 146814674 149350820 156841840 160058992 164285902 172526024 200073740 215657530 220081114 238961312 247978720 293629348 298701640 313683680 320117984 328571804 345052048 367036685 400147480 410714755 431315060 440162228 477922624 495957440 530195411 550202785 587258696 597403280 627367360 640235968 657143608 690104096 734073370 800294960 807480707 821429510 862630120 880324456 1060390822 1100405570 1174517392 1194806560 1314287216 1380208192 1468146740 1600589920 1614961414 1642859020 1725260240 1760648912 2120781644 2200811140 2349034784 2389613120 2628574432 2650977055 2936293480 3201179840 3229922828 3285718040 3450520480 3521297824 3890588861 4037403535 4241563288 4401622280 4698069568 5211920927 5257148864 5301954110 5832149521 5872586960 6459845656 6571436080 6901040960 7042595648 7781177722 8074807070 8483126576 8803244560 10423841854 10603908220 11664299042 11745173920 12919691312 13142872160 15562355444 16149614140 16966253152 17606489120 19452944305 20847683708 21207816440 23328598084 23490347840 25839382624 26059604635 26285744320 29160747605 31124710888 32299228280 33932506304 35212978240 38905888610 41695367416 42415632880 42796477471 46657196168 51678765248 52119209270 57331130197 58321495210 62249421776 64598456560 77811777220 83390734832 84831265760 85592954942 93314392336 104238418540 114662260394 116642990420 124498843552 129196913120 155623554440 166781469664 169662531520 171185909884 186628784672 208476837080 213982387355 229324520788 233285980840 248997687104 258393826240 276231809131 286655650985 311247108880 333562939328 342371819768 373257569344 416953674160 427964774710 458649041576 466571961680 552463618262 573311301970 622494217760 684743639536 833907348320 855929549420 917298083152 933143923360 1104927236524 1146622603940 1244988435520 1369487279072 1381159045655 1667814696640 1711859098840 1834596166304 1866287846720 2209854473048 2293245207880 2738974558144 2762318091310 3038549900441 3423718197680 3669192332608 4419708946096 4586490415760 5524636182620 6077099800882 6847436395360 8839417892192 9172980831520 11049272365240 12154199601764 13694872790720 15192749502205 17678835784384 18345961663040 22098544730480 24308399203528 30385499004410 44197089460960 48616798407056 60770998008820 88394178921920 97233596814112 121541996017640 194467193628224 243083992035280 486167984070560 972335968141120
• Sum of all divisors σ(n): 2614795959071232
• Sum of proper divisors (its aliquot sum) s(n): 1642459990930112
• 972335968141120 is an abundant number, because the sum of its proper divisors (1642459990930112) is greater than itself. Its abundance is 670124022788992

Bases of 972335968141120

• Binary: 11011101000101010110011011111110111011111101000000₂
• Hexadecimal: 0x374559BFBBF40
• Base-36: 9KNWZ6GKSG

Squares and roots of 972335968141120

• 972335968141120 squared (972335968141120²) is 945437234940929127628234854400
• 972335968141120 cubed (972335968141120³) is 919282629152951848726659199775259561852928000
• The square root of 972335968141120 is 31182302.1623022569
• The cube root of 972335968141120 is 99069.2291393813

Scales and comparisons

• 972,335,968,141,120 seconds is equal to 30,917,276 years, 8 weeks, 3 hours, 38 minutes, 40 seconds.
• To count from 1 to 972,335,968,141,120 would take you about seventy-seven million, two hundred ninety-three thousand, one hundred ninety 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 972335968141120 cubic inches would be around 8255.8 feet tall.

Recreational maths with 972335968141120

• 972335968141120 backwards is 021141869533279
• The number of decimal digits it has is: 15
• The sum of 972335968141120's digits is 61
• More coming soon!