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1005200441244 = 223381111476463
BaseRepresentation
bin11101010000010101001…
…11010111111110011100
310120002121010222012202000
432220022213113332130
5112432122303104434
62045441022002300
7132423542526216
oct16501247277634
93502533865660
101005200441244
1135833749741a
12142993716390
1373a368074cc
143691ada35b6
151b2330b2b99
hexea0a9d7f9c

1005200441244 has 48 divisors (see below), whose sum is σ = 2609288855040. Its totient is φ = 334653631920.

The previous prime is 1005200441243. The next prime is 1005200441269. The reversal of 1005200441244 is 4421440025001.

1005200441244 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 200 + 4 + 412 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005200441243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5650644 + ... + 5825819.

It is an arithmetic number, because the mean of its divisors is an integer number (54360184480).

Almost surely, 21005200441244 is an apocalyptic number.

It is an amenable number.

1005200441244 is an abundant number, since it is smaller than the sum of its proper divisors (1604088413796).

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

1005200441244 is a wasteful number, since it uses less digits than its factorization.

1005200441244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11477287 (or 11477279 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 1005200441244 its reverse (4421440025001), we get a palindrome (5426640466245).

The spelling of 1005200441244 in words is "one trillion, five billion, two hundred million, four hundred forty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 811 1622 2433 3244 4866 7299 9732 14598 21897 29196 43794 87588 11476463 22952926 34429389 45905852 68858778 103288167 137717556 206576334 309864501 413152668 619729002 1239458004 9307411493 18614822986 27922234479 37229645972 55844468958 83766703437 111688937916 167533406874 251300110311 335066813748 502600220622 1005200441244