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1144005130503 = 33203592081171
BaseRepresentation
bin10000101001011100000…
…001001111100100000111
311001100212200111000102000
4100221130001033210013
5122220410303134003
62233314304120343
7145436341110444
oct20513401174407
94040780430360
101144005130503
11401196087944
121658710060b3
1383b57857531
143d5279629cb
151eb58dc31a3
hex10a5c04f907

1144005130503 has 16 divisors (see below), whose sum is σ = 1694906476800. Its totient is φ = 762632259480.

The previous prime is 1144005130483. The next prime is 1144005130537. The reversal of 1144005130503 is 3050315004411.

It is a happy number.

1144005130503 is a `hidden beast` number, since 1 + 144 + 0 + 0 + 5 + 13 + 0 + 503 = 666.

It is not a de Polignac number, because 1144005130503 - 221 = 1144003033351 is a prime.

It is a super-2 number, since 2×11440051305032 (a number of 25 digits) contains 22 as substring.

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 (1144005135503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490893 + ... + 1590278.

It is an arithmetic number, because the mean of its divisors is an integer number (105931654800).

Almost surely, 21144005130503 is an apocalyptic number.

1144005130503 is a deficient number, since it is larger than the sum of its proper divisors (550901346297).

1144005130503 is a wasteful number, since it uses less digits than its factorization.

1144005130503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101539 (or 2101533 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1144005130503 in words is "one trillion, one hundred forty-four billion, five million, one hundred thirty thousand, five hundred three".

Divisors: 1 3 9 27 20359 61077 183231 549693 2081171 6243513 18730539 56191617 42370560389 127111681167 381335043501 1144005130503