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20140243111120 = 24511397279720611
BaseRepresentation
bin1001001010001010001000…
…00010010100110011010000
32122022101111011121201011111
410211011010002110303100
510114434204214023440
6110500144442423104
74146040666551646
oct445050402246320
978271434551144
1020140243111120
11646547a1aa160
122313392801a94
13b312a8345962
144d8b15c91196
1524dd620ca4ea
hex125144094cd0

20140243111120 has 160 divisors (see below), whose sum is σ = 51232447806336. Its totient is φ = 7302310963200.

The previous prime is 20140243111049. The next prime is 20140243111139. The reversal of 20140243111120 is 2111134204102.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20140243111091 and 20140243111100.

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, 977149615 + ... + 977170225.

Almost surely, 220140243111120 is an apocalyptic number.

20140243111120 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 20140243111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25616223903168).

20140243111120 is an abundant number, since it is smaller than the sum of its proper divisors (31092204695216).

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

20140243111120 is a wasteful number, since it uses less digits than its factorization.

20140243111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23829 (or 23823 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 20140243111120 its reverse (2111134204102), we get a palindrome (22251377315222).

The spelling of 20140243111120 in words is "twenty trillion, one hundred forty billion, two hundred forty-three million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 397 440 794 880 1588 1985 2797 3176 3970 4367 5594 6352 7940 8734 11188 13985 15880 17468 20611 21835 22376 27970 30767 31760 34936 41222 43670 44752 55940 61534 69872 82444 87340 103055 111880 123068 153835 164888 174680 206110 223760 226721 246136 307670 329776 349360 412220 453442 492272 615340 824440 906884 1110409 1133605 1230680 1648880 1813768 2220818 2267210 2461360 3627536 4441636 4534420 5552045 8182567 8883272 9068840 11104090 12214499 16365134 17766544 18137680 22208180 24428998 32730268 40912835 44416360 48857996 57648967 61072495 65460536 81825670 88832720 90008237 97715992 115297934 122144990 130921072 163651340 180016474 195431984 230595868 244289980 288244835 327302680 360032948 450041185 461191736 488579960 576489670 634138637 654605360 720065896 900082370 922383472 977159920 1152979340 1268277274 1440131792 1800164740 2305958680 2536554548 3170693185 3600329480 4611917360 5073109096 6341386370 7200658960 10146218192 12682772740 22886639899 25365545480 45773279798 50731090960 91546559596 114433199495 183093119192 228866398990 251753038889 366186238384 457732797980 503506077778 915465595960 1007012155556 1258765194445 1830931191920 2014024311112 2517530388890 4028048622224 5035060777780 10070121555560 20140243111120