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344092040000 = 26548602301
BaseRepresentation
bin1010000000111010111…
…10111101101101000000
31012220011100212201211122
411000131132331231000
521114200030240000
6422023530331412
733600631040042
oct5003536755500
91186140781748
10344092040000
11122a23a93585
125682b889b68
13265a88ba1c7
1412922d81a92
158e3d54c085
hex501d7bdb40

344092040000 has 70 divisors (see below), whose sum is σ = 853236528474. Its totient is φ = 137636800000.

The previous prime is 344092039999. The next prime is 344092040053. The reversal of 344092040000 is 40290443.

It can be written as a sum of positive squares in 5 ways, for example, as 145240258816 + 198851781184 = 381104^2 + 445928^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4261151 + ... + 4341150.

Almost surely, 2344092040000 is an apocalyptic number.

It is an amenable number.

344092040000 is an abundant number, since it is smaller than the sum of its proper divisors (509144488474).

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

344092040000 is an frugal number, since it uses more digits than its factorization.

344092040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602333 (or 8602308 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 344092040000 in words is "three hundred forty-four billion, ninety-two million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 8602301 17204602 34409204 43011505 68818408 86023010 137636816 172046020 215057525 275273632 344092040 430115050 550547264 688184080 860230100 1075287625 1376368160 1720460200 2150575250 2752736320 3440920400 4301150500 5376438125 6881840800 8602301000 10752876250 13763681600 17204602000 21505752500 34409204000 43011505000 68818408000 86023010000 172046020000 344092040000