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444042014300 = 225219123248273
BaseRepresentation
bin1100111011000101111…
…01110110111001011100
31120110011001101111201122
412131202331312321130
524233344223424200
6535553505230112
744036526563033
oct6354275667134
91513131344648
10444042014300
11161354160625
1272084932338
1332b46c32931
14176c54dd71a
15b83d1a4385
hex6762f76e5c

444042014300 has 36 divisors (see below), whose sum is σ = 968616087936. Its totient is φ = 176686867200.

The previous prime is 444042014291. The next prime is 444042014309. The reversal of 444042014300 is 3410240444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444042014291) and next prime (444042014309).

It is a super-3 number, since 3×4440420143003 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444042014300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444042014309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11605037 + ... + 11643236.

Almost surely, 2444042014300 is an apocalyptic number.

It is an amenable number.

444042014300 is an abundant number, since it is smaller than the sum of its proper divisors (524574073636).

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

444042014300 is a wasteful number, since it uses less digits than its factorization.

444042014300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23248478 (or 23248471 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 444042014300 its reverse (3410240444), we get a palindrome (447452254744).

The spelling of 444042014300 in words is "four hundred forty-four billion, forty-two million, fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 3820 4775 9550 19100 23248273 46496546 92993092 116241365 232482730 464965460 581206825 1162413650 2324827300 4440420143 8880840286 17761680572 22202100715 44404201430 88808402860 111010503575 222021007150 444042014300