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444368040032 = 25713714480189
BaseRepresentation
bin1100111011101100110…
…01100011000001100000
31120110222202212022221202
412131312121203001200
524240031204240112
6540050113140332
744050566006260
oct6356631430140
91513882768852
10444368040032
111615011a0584
1272155b5a6a8
1332b99643777
14177169297a0
15b85bb046c2
hex6776663060

444368040032 has 48 divisors (see below), whose sum is σ = 1007126174880. Its totient is φ = 189053334528.

The previous prime is 444368040029. The next prime is 444368040037. The reversal of 444368040032 is 230040863444.

It is a super-2 number, since 2×4443680400322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444368040037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7209407 + ... + 7270782.

It is an arithmetic number, because the mean of its divisors is an integer number (20981795310).

Almost surely, 2444368040032 is an apocalyptic number.

It is an amenable number.

444368040032 is an abundant number, since it is smaller than the sum of its proper divisors (562758134848).

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

444368040032 is a wasteful number, since it uses less digits than its factorization.

444368040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14480343 (or 14480335 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 444368040032 in words is "four hundred forty-four billion, three hundred sixty-eight million, forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 548 959 1096 1918 2192 3836 4384 7672 15344 30688 14480189 28960378 57920756 101361323 115841512 202722646 231683024 405445292 463366048 810890584 1621781168 1983785893 3243562336 3967571786 7935143572 13886501251 15870287144 27773002502 31740574288 55546005004 63481148576 111092010008 222184020016 444368040032