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2350005434120 = 2351733001113161
BaseRepresentation
bin100010001100100111001…
…111010011011100001000
322022122202220211010112202
4202030213033103130020
5302000302342342440
64555324432055332
7331532216415161
oct42144717233410
98278686733482
102350005434120
118266a4891943
1231b544094548
131407b22b6246
1481a52d38768
15411e0756615
hex223273d3708

2350005434120 has 64 divisors (see below), whose sum is σ = 5319894993840. Its totient is φ = 934248960000.

The previous prime is 2350005434113. The next prime is 2350005434123. The reversal of 2350005434120 is 214345000532.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2020269935044 + 329735499076 = 1421362^2 + 574226^2 .

It is not an unprimeable number, because it can be changed into a prime (2350005434123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20710340 + ... + 20823500.

Almost surely, 22350005434120 is an apocalyptic number.

2350005434120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2350005434120 is an abundant number, since it is smaller than the sum of its proper divisors (2969889559720).

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

2350005434120 is a wasteful number, since it uses less digits than its factorization.

2350005434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116346 (or 116342 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 2350005434120 in words is "two trillion, three hundred fifty billion, five million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 1384 1730 3001 3460 6002 6920 12004 15005 24008 30010 60020 113161 120040 226322 452644 519173 565805 905288 1038346 1131610 2076692 2263220 2595865 4153384 4526440 5191730 10383460 19576853 20766920 39153706 78307412 97884265 156614824 195768530 339596161 391537060 679192322 783074120 1358384644 1697980805 2716769288 3395961610 6791923220 13583846440 58750135853 117500271706 235000543412 293750679265 470001086824 587501358530 1175002717060 2350005434120