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444432432004 = 2211291696320533
BaseRepresentation
bin1100111011110100011…
…11001011101110000100
31120111011021000210010121
412131322033023232010
524240144200311004
6540100333231324
744052310225051
oct6357217135604
91514137023117
10444432432004
11161534581190
1272173632544
1332ba9a9a822
14177212cc028
15b8625c3854
hex677a3cbb84

444432432004 has 48 divisors (see below), whose sum is σ = 877813715520. Its totient is φ = 195027719040.

The previous prime is 444432431983. The next prime is 444432432013. The reversal of 444432432004 is 400234234444.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21634522 + ... + 21655054.

It is an arithmetic number, because the mean of its divisors is an integer number (18287785740).

Almost surely, 2444432432004 is an apocalyptic number.

444432432004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444432432004 is a deficient number, since it is larger than the sum of its proper divisors (433381283516).

444432432004 is a wasteful number, since it uses less digits than its factorization.

444432432004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37540 (or 37538 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 444432432004 its reverse (400234234444), we get a palindrome (844666666448).

The spelling of 444432432004 in words is "four hundred forty-four billion, four hundred thirty-two million, four hundred thirty-two thousand, four".

Divisors: 1 2 4 11 22 29 44 58 116 319 638 1276 16963 20533 33926 41066 67852 82132 186593 225863 373186 451726 491927 595457 746372 903452 983854 1190914 1967708 2381828 5411197 6550027 10822394 13100054 21644788 26200108 348301279 696602558 1393205116 3831314069 7662628138 10100737091 15325256276 20201474182 40402948364 111108108001 222216216002 444432432004