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1200034204140 = 223523243387317
BaseRepresentation
bin10001011101100111100…
…111001100100111101100
311020201111110001212020110
4101131213213030213230
5124130132224013030
62315142121420020
7152461652301402
oct21354747144754
94221443055213
101200034204140
11422a28029182
121746a903a610
1389216702445
1442120cad472
1521337be51b0
hex117679cc9ec

1200034204140 has 144 divisors (see below), whose sum is σ = 3520691098848. Its totient is φ = 305385265152.

The previous prime is 1200034204139. The next prime is 1200034204141. The reversal of 1200034204140 is 414024300021.

It is an interprime number because it is at equal distance from previous prime (1200034204139) and next prime (1200034204141).

It is a super-2 number, since 2×12000342041402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1200034204141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13699762 + ... + 13787078.

It is an arithmetic number, because the mean of its divisors is an integer number (24449243742).

Almost surely, 21200034204140 is an apocalyptic number.

1200034204140 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 1200034204140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760345549424).

1200034204140 is an abundant number, since it is smaller than the sum of its proper divisors (2320656894708).

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

1200034204140 is a wasteful number, since it uses less digits than its factorization.

1200034204140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87808 (or 87783 counting only the distinct ones).

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

Adding to 1200034204140 its reverse (414024300021), we get a palindrome (1614058504161).

The spelling of 1200034204140 in words is "one trillion, two hundred billion, thirty-four million, two hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 433 460 529 690 866 1058 1299 1380 1587 1732 2116 2165 2598 2645 3174 4330 5196 5290 6348 6495 7935 8660 9959 10580 12990 15870 19918 25980 29877 31740 39836 49795 59754 87317 99590 119508 149385 174634 199180 229057 261951 298770 349268 436585 458114 523902 597540 687171 873170 916228 1047804 1145285 1309755 1374342 1746340 2008291 2290570 2619510 2748684 3435855 4016582 4581140 5239020 6024873 6871710 8033164 10041455 12049746 13743420 20082910 24099492 30124365 37808261 40165820 46190693 60248730 75616522 92381386 113424783 120497460 138572079 151233044 184762772 189041305 226849566 230953465 277144158 378082610 453699132 461906930 554288316 567123915 692860395 756165220 869590003 923813860 1134247830 1385720790 1739180006 2268495660 2608770009 2771441580 3478360012 4347950015 5217540018 8695900030 10435080036 13043850045 17391800060 20000570069 26087700090 40001140138 52175400180 60001710207 80002280276 100002850345 120003420414 200005700690 240006840828 300008551035 400011401380 600017102070 1200034204140