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442530144035 = 5723260139769
BaseRepresentation
bin1100111000010001101…
…10100001111100100011
31120022020200112112121122
412130020312201330203
524222300204102120
6535143500442455
743654211106020
oct6341066417443
91508220475548
10442530144035
11160748803071
127192254942b
1332965945745
14175c07ca547
15b7a05b2a25
hex6708da1f23

442530144035 has 48 divisors (see below), whose sum is σ = 635504237760. Its totient is φ = 289765555200.

The previous prime is 442530144029. The next prime is 442530144113. The reversal of 442530144035 is 530441035244.

It is not a de Polignac number, because 442530144035 - 28 = 442530143779 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 442530143986 and 442530144004.

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 47 ways as a sum of consecutive naturals, for example, 11107631 + ... + 11147399.

It is an arithmetic number, because the mean of its divisors is an integer number (13239671620).

Almost surely, 2442530144035 is an apocalyptic number.

442530144035 is a deficient number, since it is larger than the sum of its proper divisors (192974093725).

442530144035 is a wasteful number, since it uses less digits than its factorization.

442530144035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40428 (or 40405 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 442530144035 its reverse (530441035244), we get a palindrome (972971179279).

The spelling of 442530144035 in words is "four hundred forty-two billion, five hundred thirty million, one hundred forty-four thousand, thirty-five".

Divisors: 1 5 7 23 35 115 161 529 601 805 2645 3005 3703 4207 13823 18515 21035 39769 69115 96761 198845 278383 317929 483805 914687 1391915 1589645 2225503 4573435 6402809 11127515 21037801 23901169 32014045 105189005 119505845 147264607 167308183 549726887 736323035 836540915 2748634435 3848088209 12643718401 19240441045 63218592005 88506028807 442530144035