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1144441020032 = 2771977316087
BaseRepresentation
bin10000101001110110000…
…000000001111010000000
311001102000001200111102122
4100221312000001322000
5122222303400120112
62233425434503412
7145453213110422
oct20516600017200
94042001614378
101144441020032
1140139a136122
12165972b94b68
1383bc6c5372b
143d5697ca812
151eb822c5872
hex10a76001e80

1144441020032 has 64 divisors (see below), whose sum is σ = 2286207763200. Its totient is φ = 570649949184.

The previous prime is 1144441020011. The next prime is 1144441020077. The reversal of 1144441020032 is 2300201444411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1144441019983 and 1144441020010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71132693 + ... + 71148779.

It is an arithmetic number, because the mean of its divisors is an integer number (35721996300).

Almost surely, 21144441020032 is an apocalyptic number.

It is an amenable number.

1144441020032 is a deficient number, since it is larger than the sum of its proper divisors (1141766743168).

1144441020032 is an equidigital number, since it uses as much as digits as its factorization.

1144441020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17593 (or 17581 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1144441020032 its reverse (2300201444411), we get a palindrome (3444642464443).

The spelling of 1144441020032 in words is "one trillion, one hundred forty-four billion, four hundred forty-one million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 719 773 1438 1546 2876 3092 5752 6184 11504 12368 16087 23008 24736 32174 46016 49472 64348 92032 98944 128696 257392 514784 555787 1029568 1111574 2059136 2223148 4446296 8892592 11566553 12435251 17785184 23133106 24870502 35570368 46266212 49741004 71140736 92532424 99482008 185064848 198964016 370129696 397928032 740259392 795856064 1480518784 1591712128 8940945469 17881890938 35763781876 71527563752 143055127504 286110255008 572220510016 1144441020032