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1034342340000 = 2535417239039
BaseRepresentation
bin11110000110100111001…
…10111001010110100000
310122212211002121001111120
433003103212321112200
5113421313114340000
62111100442012240
7134504652553164
oct17032346712640
93585732531446
101034342340000
11369731316272
121485671a7080
13766cc185a98
14380c347aca4
151bd8b6d96a0
hexf0d39b95a0

1034342340000 has 120 divisors (see below), whose sum is σ = 3392849940480. Its totient is φ = 275824608000.

The previous prime is 1034342339993. The next prime is 1034342340011. The reversal of 1034342340000 is 432434301.

1034342340000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8559520 + ... + 8679519.

It is an arithmetic number, because the mean of its divisors is an integer number (28273749504).

Almost surely, 21034342340000 is an apocalyptic number.

1034342340000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034342340000 is an abundant number, since it is smaller than the sum of its proper divisors (2358507600480).

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

1034342340000 is an equidigital number, since it uses as much as digits as its factorization.

1034342340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17239072 (or 17239049 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1034342340000 its reverse (432434301), we get a palindrome (1034774774301).

The spelling of 1034342340000 in words is "one trillion, thirty-four billion, three hundred forty-two million, three hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 17239039 34478078 51717117 68956156 86195195 103434234 137912312 172390390 206868468 258585585 275824624 344780780 413736936 430975975 517171170 551649248 689561560 827473872 861951950 1034342340 1292927925 1379123120 1654947744 1723903900 2068684680 2154879875 2585855850 2758246240 3447807800 4137369360 4309759750 5171711700 6464639625 6895615600 8274738720 8619519500 10343423400 10774399375 12929279250 13791231200 17239039000 20686846800 21548798750 25858558500 32323198125 34478078000 41373693600 43097597500 51717117000 64646396250 68956156000 86195195000 103434234000 129292792500 172390390000 206868468000 258585585000 344780780000 517171170000 1034342340000