Search a number
-
+
1003411000144 = 24734725818521
BaseRepresentation
bin11101001100111111111…
…01001100101101010000
310112220222102211012000201
432212133331030231100
5112414441204001034
62044543300024544
7132331313526610
oct16463775145520
93486872735021
101003411000144
113575a9394883
12142574392154
137380cb73517
14367cb478a40
151b17ae43014
hexe99ff4cb50

1003411000144 has 40 divisors (see below), whose sum is σ = 2228241722688. Its totient is φ = 428793980160.

The previous prime is 1003411000139. The next prime is 1003411000169. The reversal of 1003411000144 is 4410001143001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12870397 + ... + 12948124.

Almost surely, 21003411000144 is an apocalyptic number.

1003411000144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1003411000144 is an abundant number, since it is smaller than the sum of its proper divisors (1224830722544).

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

1003411000144 is a wasteful number, since it uses less digits than its factorization.

1003411000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25818883 (or 25818877 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1003411000144 its reverse (4410001143001), we get a palindrome (5413412143145).

The spelling of 1003411000144 in words is "one trillion, three billion, four hundred eleven million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 56 112 347 694 1388 2429 2776 4858 5552 9716 19432 38864 25818521 51637042 103274084 180729647 206548168 361459294 413096336 722918588 1445837176 2891674352 8959026787 17918053574 35836107148 62713187509 71672214296 125426375018 143344428592 250852750036 501705500072 1003411000144