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442234443134415 = 352347101270031381
BaseRepresentation
bin110010010001101011011101…
…0111000111111010111001111
32010222211012101201011011212210
41210203112322320333113033
5430431032114420300130
64204315410514201503
7162102245522166561
oct14443267270772717
92128735351134783
10442234443134415
11118a00635137398
1241723bb8283293
1315c9b6b5417249
147b2c392c45331
15361d7eced05b0
hex19235bae3f5cf

442234443134415 has 64 divisors (see below), whose sum is σ = 761514420252672. Its totient is φ = 218617405248000.

The previous prime is 442234443134389. The next prime is 442234443134423. The reversal of 442234443134415 is 514431344432244.

It is not a de Polignac number, because 442234443134415 - 25 = 442234443134383 is a prime.

It is a super-2 number, since 2×4422344431344152 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133377976 + ... + 136653405.

It is an arithmetic number, because the mean of its divisors is an integer number (11898662816448).

Almost surely, 2442234443134415 is an apocalyptic number.

442234443134415 is a deficient number, since it is larger than the sum of its proper divisors (319279977118257).

442234443134415 is a wasteful number, since it uses less digits than its factorization.

442234443134415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270031560.

The product of its digits is 8847360, while the sum is 48.

Adding to 442234443134415 its reverse (514431344432244), we get a palindrome (956665787566659).

The spelling of 442234443134415 in words is "four hundred forty-two trillion, two hundred thirty-four billion, four hundred forty-three million, one hundred thirty-four thousand, four hundred fifteen".

Divisors: 1 3 5 15 23 47 69 101 115 141 235 303 345 505 705 1081 1515 2323 3243 4747 5405 6969 11615 14241 16215 23735 34845 71205 109181 327543 545905 1637715 270031381 810094143 1350156905 4050470715 6210721763 12691474907 18632165289 27273169481 31053608815 38074424721 63457374535 81819508443 93160826445 136365847405 190372123605 291903922861 409097542215 627282898063 875711768583 1281838965607 1459519614305 1881848694189 3136414490315 3845516896821 4378558842915 6409194828035 9409243470945 19227584484105 29482296208961 88446888626883 147411481044805 442234443134415