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442413231001 = 7259307503991
BaseRepresentation
bin1100111000000011110…
…00100010101110011001
31120021221112112202002021
412130001320202232121
524222030241343001
6535124122534441
743651261262500
oct6340170425631
91507845482067
10442413231001
1116069880a625
12718ab367421
133294765c931
14175ad075837
15b7951bbba1
hex6701e22b99

442413231001 has 48 divisors (see below), whose sum is σ = 526646292480. Its totient is φ = 370456843680.

The previous prime is 442413230983. The next prime is 442413231017. The reversal of 442413231001 is 100132314244.

It is not a de Polignac number, because 442413231001 - 213 = 442413222809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442413231301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446430616 + ... + 446431606.

It is an arithmetic number, because the mean of its divisors is an integer number (10971797760).

Almost surely, 2442413231001 is an apocalyptic number.

It is an amenable number.

442413231001 is a deficient number, since it is larger than the sum of its proper divisors (84233061479).

442413231001 is a wasteful number, since it uses less digits than its factorization.

442413231001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 442413231001 its reverse (100132314244), we get a palindrome (542545545245).

The spelling of 442413231001 in words is "four hundred forty-two billion, four hundred thirteen million, two hundred thirty-one thousand, one".

Divisors: 1 7 49 59 307 413 503 991 2149 2891 3521 6937 15043 18113 24647 29677 48559 58469 126791 154421 207739 304237 409283 498473 887537 1080947 1454173 2129659 2864981 3489311 7566629 9110839 14907613 17949983 24425177 29409907 63775873 125649881 153031211 205869349 446431111 879549167 1071218477 1441085443 7498529339 9028841449 63201890143 442413231001