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444404012340 = 2235192316949047
BaseRepresentation
bin1100111011110001000…
…10110001010100110100
31120111002021112220200110
412131320202301110310
524240114411343330
6540053440143020
744051513530641
oct6357042612464
91514067486613
10444404012340
1116151a530062
1272166007a70
1332ba3c29c62
141771b610dc8
15b85ed5cdb0
hex67788b1534

444404012340 has 96 divisors (see below), whose sum is σ = 1366771230720. Its totient is φ = 107389155456.

The previous prime is 444404012329. The next prime is 444404012341. The reversal of 444404012340 is 43210404444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 444404012298 and 444404012307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444404012341) 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 31 ways as a sum of consecutive naturals, for example, 8448304 + ... + 8500743.

It is an arithmetic number, because the mean of its divisors is an integer number (14237200320).

Almost surely, 2444404012340 is an apocalyptic number.

It is an amenable number.

444404012340 is an abundant number, since it is smaller than the sum of its proper divisors (922367218380).

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

444404012340 is a wasteful number, since it uses less digits than its factorization.

444404012340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16949101 (or 16949099 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 444404012340 its reverse (43210404444), we get a palindrome (487614416784).

The spelling of 444404012340 in words is "four hundred forty-four billion, four hundred four million, twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 276 285 345 380 437 460 570 690 874 1140 1311 1380 1748 2185 2622 4370 5244 6555 8740 13110 26220 16949047 33898094 50847141 67796188 84745235 101694282 169490470 203388564 254235705 322031893 338980940 389828081 508471410 644063786 779656162 966095679 1016942820 1169484243 1288127572 1559312324 1610159465 1932191358 1949140405 2338968486 3220318930 3864382716 3898280810 4677936972 4830478395 5847421215 6440637860 7406733539 7796561620 9660956790 11694842430 14813467078 19321913580 22220200617 23389684860 29626934156 37033667695 44440401234 74067335390 88880802468 111101003085 148134670780 222202006170 444404012340