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214503997862024 = 231310137229281653
BaseRepresentation
bin110000110001011100011010…
…100110000111000010001000
31001010111101022102110011021022
4300301130122212013002020
5211103413141423041044
62040113435355532012
763116255014065203
oct6061343246070210
91033441272404238
10214503997862024
11623906a875a332
122008438aa5a008
13928c8426b4110
143ad809823093a
1519beb1ba723ee
hexc3171a987088

214503997862024 has 64 divisors (see below), whose sum is σ = 433622161954800. Its totient is φ = 98890081145856.

The previous prime is 214503997862003. The next prime is 214503997862029. The reversal of 214503997862024 is 420268799305412.

It is a Cunningham number, because it is equal to 146459552-1.

It can be written as a sum of positive squares in 8 ways, for example, as 20923580092900 + 193580417769124 = 4574230^2 + 13913318^2 .

It is not an unprimeable number, because it can be changed into a prime (214503997862029) 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, 761448782 + ... + 761730434.

It is a 1-persistent number, because it is pandigital, but 2⋅214503997862024 = 429007995724048 is not.

Almost surely, 2214503997862024 is an apocalyptic number.

It is an amenable number.

214503997862024 is an abundant number, since it is smaller than the sum of its proper divisors (219118164092776).

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

214503997862024 is a wasteful number, since it uses less digits than its factorization.

214503997862024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289914 (or 289910 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 62.

The spelling of 214503997862024 in words is "two hundred fourteen trillion, five hundred three billion, nine hundred ninety-seven million, eight hundred sixty-two thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 1013 2026 4052 7229 8104 13169 14458 26338 28916 52676 57832 93977 105352 187954 281653 375908 563306 751816 1126612 2253224 3661489 7322977 7322978 14645954 14645956 29291908 29291912 58583816 95198701 190397402 285314489 380794804 570628978 761589608 1141257956 2036069537 2282515912 3709088357 4072139074 7418176714 8144278148 14836353428 16288556296 26468903981 29672706856 52937807962 105875615924 211751231848 2062538440981 4125076881962 8250153763924 16500307527848 26812999732753 53625999465506 107251998931012 214503997862024