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444000400004 = 227181761115123
BaseRepresentation
bin1100111011000000111…
…11000111001010000100
31120110001011002021122102
412131200133013022010
524233303100300004
6535545421251232
744035513062410
oct6354037071204
91513034067572
10444000400004
11161332718147
1272072a03b18
1332b3b4223a5
14176bdb89d40
15b8396d411e
hex67607c7284

444000400004 has 48 divisors (see below), whose sum is σ = 894087981696. Its totient is φ = 188984275200.

The previous prime is 444000400003. The next prime is 444000400097. The reversal of 444000400004 is 400004000444.

It is a super-4 number, since 4×4440004000044 (a number of 48 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (444000400003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3799187 + ... + 3914309.

It is an arithmetic number, because the mean of its divisors is an integer number (18626832952).

Almost surely, 2444000400004 is an apocalyptic number.

It is an amenable number.

444000400004 is an abundant number, since it is smaller than the sum of its proper divisors (450087581692).

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

444000400004 is a wasteful number, since it uses less digits than its factorization.

444000400004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116076 (or 116074 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 444000400004 its reverse (400004000444), we get a palindrome (844004400448).

The spelling of 444000400004 in words is "four hundred forty-four billion, four hundred thousand, four".

Divisors: 1 2 4 7 14 28 181 362 724 761 1267 1522 2534 3044 5068 5327 10654 21308 115123 137741 230246 275482 460492 550964 805861 964187 1611722 1928374 3223444 3856748 20837263 41674526 83349052 87608603 145860841 175217206 291721682 350434412 583443364 613260221 1226520442 2453040884 15857157143 31714314286 63428628572 111000100001 222000200002 444000400004