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1443211013153 = 713213146120201
BaseRepresentation
bin10101000000000110000…
…101000110110000100001
312002222011212010200221102
4111000012011012300201
5142121144004410103
63023000232404145
7206161054130150
oct25000605066041
95088155120842
101443211013153
11507075aa1008
121b3854546655
13a612bcb2a00
144dbcd42b597
152781b9bce88
hex15006146c21

1443211013153 has 48 divisors (see below), whose sum is σ = 1803646196352. Its totient is φ = 1130650560000.

The previous prime is 1443211013077. The next prime is 1443211013159. The reversal of 1443211013153 is 3513101123441.

It is not a de Polignac number, because 1443211013153 - 214 = 1443210996769 is a prime.

It is a super-2 number, since 2×14432110131532 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1443211013159) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 71432453 + ... + 71452653.

It is an arithmetic number, because the mean of its divisors is an integer number (37575962424).

Almost surely, 21443211013153 is an apocalyptic number.

1443211013153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1443211013153 is a deficient number, since it is larger than the sum of its proper divisors (360435183199).

1443211013153 is a wasteful number, since it uses less digits than its factorization.

1443211013153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20826 (or 20813 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 1443211013153 its reverse (3513101123441), we get a palindrome (4956312136594).

The spelling of 1443211013153 in words is "one trillion, four hundred forty-three billion, two hundred eleven million, thirteen thousand, one hundred fifty-three".

Divisors: 1 7 13 91 131 169 461 917 1183 1703 3227 5993 11921 20201 22139 41951 60391 77909 141407 154973 262613 422737 545363 785083 1838291 2646331 3413969 5495581 9312661 10206079 18524317 23897783 34402303 65188627 71442553 121064593 240816121 447229939 847452151 1219958591 1573839709 3130609573 8539710137 11016877963 15859461683 111016231781 206173001879 1443211013153