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11420043120 = 2433522723291
BaseRepresentation
bin10101010001011000…
…00000011101110000
31002110212211022002000
422220230000131300
5141342012334440
65125111054000
7552666523233
oct125054003560
932425738060
1011420043120
114930353472
122268671300
1310ccc65b85
147a49b141a
1546c8b1730
hex2a8b00770

11420043120 has 160 divisors (see below), whose sum is σ = 39510685440. Its totient is φ = 3031799040.

The previous prime is 11420043109. The next prime is 11420043121. The reversal of 11420043120 is 2134002411.

11420043120 is a `hidden beast` number, since 1 + 14 + 200 + 431 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11420043093 and 11420043102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11420043121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478675 + ... + 501965.

It is an arithmetic number, because the mean of its divisors is an integer number (246941784).

Almost surely, 211420043120 is an apocalyptic number.

11420043120 is a gapful number since it is divisible by the number (10) 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 11420043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19755342720).

11420043120 is an abundant number, since it is smaller than the sum of its proper divisors (28090642320).

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

11420043120 is a wasteful number, since it uses less digits than its factorization.

11420043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23540 (or 23528 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11420043120 its reverse (2134002411), we get a palindrome (13554045531).

The spelling of 11420043120 in words is "eleven billion, four hundred twenty million, forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 227 240 270 360 432 454 540 681 720 908 1080 1135 1362 1816 2043 2160 2270 2724 3405 3632 4086 4540 5448 6129 6810 8172 9080 10215 10896 12258 13620 16344 18160 20430 23291 24516 27240 30645 32688 40860 46582 49032 54480 61290 69873 81720 93164 98064 116455 122580 139746 163440 186328 209619 232910 245160 279492 349365 372656 419238 465820 490320 558984 628857 698730 838476 931640 1048095 1117968 1257714 1397460 1676952 1863280 2096190 2515428 2794920 3144285 3353904 4192380 5030856 5287057 5589840 6288570 8384760 10061712 10574114 12577140 15861171 16769520 21148228 25154280 26435285 31722342 42296456 47583513 50308560 52870570 63444684 79305855 84592912 95167026 105741140 126889368 142750539 158611710 190334052 211482280 237917565 253778736 285501078 317223420 380668104 422964560 475835130 571002156 634446840 713752695 761336208 951670260 1142004312 1268893680 1427505390 1903340520 2284008624 2855010780 3806681040 5710021560 11420043120