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20002214043120 = 2435831993503827
BaseRepresentation
bin1001000110001001000001…
…10111001101110111110000
32121211012012200120112211210
410203010200313031313300
510110204013243334440
6110312520144440120
74133053340050041
oct443044067156760
977735180515753
1020002214043120
116411989409441
1222b0691019040
13b2127bbc131a
144d21803128c8
1524a484428a80
hex123120dcddf0

20002214043120 has 160 divisors (see below), whose sum is σ = 62785545967872. Its totient is φ = 5267005065216.

The previous prime is 20002214043107. The next prime is 20002214043181. The reversal of 20002214043120 is 2134041220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39448647 + ... + 39952473.

Almost surely, 220002214043120 is an apocalyptic number.

20002214043120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002214043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31392772983936).

20002214043120 is an abundant number, since it is smaller than the sum of its proper divisors (42783331924752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20002214043120 is a wasteful number, since it uses less digits than its factorization.

20002214043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505919 (or 505913 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20002214043120 its reverse (2134041220002), we get a palindrome (22136255263122).

The spelling of 20002214043120 in words is "twenty trillion, two billion, two hundred fourteen million, forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 1993 2490 3320 3984 3986 4980 5979 6640 7972 9960 9965 11958 15944 19920 19930 23916 29895 31888 39860 47832 59790 79720 95664 119580 159440 165419 239160 330838 478320 496257 503827 661676 827095 992514 1007654 1323352 1511481 1654190 1985028 2015308 2481285 2519135 2646704 3022962 3308380 3970056 4030616 4962570 5038270 6045924 6616760 7557405 7940112 8061232 9925140 10076540 12091848 13233520 15114810 19850280 20153080 24183696 30229620 39700560 40306160 41817641 60459240 83635282 120918480 125452923 167270564 209088205 250905846 334541128 418176410 501811692 627264615 669082256 836352820 1003623384 1004127211 1254529230 1672705640 2007246768 2008254422 2509058460 3012381633 3345411280 4016508844 5018116920 5020636055 6024763266 8033017688 10036233840 10041272110 12049526532 15061908165 16066035376 20082544220 24099053064 30123816330 40165088440 48198106128 60247632660 80330176880 83342558513 120495265320 166685117026 240990530640 250027675539 333370234052 416712792565 500055351078 666740468104 833425585130 1000110702156 1250138377695 1333480936208 1666851170260 2000221404312 2500276755390 3333702340520 4000442808624 5000553510780 6667404681040 10001107021560 20002214043120