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1144082896 = 24118973039
BaseRepresentation
bin100010000110001…
…0101000111010000
32221201210102200121
41010030111013100
54320341123041
6305305400024
740231354435
oct10414250720
92851712617
101144082896
11537894460
1227b199014
13153046a38
14abd35b8c
156a6927d1
hex443151d0

1144082896 has 40 divisors (see below), whose sum is σ = 2445379200. Its totient is φ = 514187520.

The previous prime is 1144082887. The next prime is 1144082899. The reversal of 1144082896 is 6982804411.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144082899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20856 + ... + 52183.

It is an arithmetic number, because the mean of its divisors is an integer number (61134480).

Almost surely, 21144082896 is an apocalyptic number.

1144082896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1144082896 is an abundant number, since it is smaller than the sum of its proper divisors (1301296304).

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

1144082896 is a wasteful number, since it uses less digits than its factorization.

1144082896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73147 (or 73141 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 1144082896 is about 33824.2944641865. The cubic root of 1144082896 is about 1045.8895673866.

The spelling of 1144082896 in words is "one billion, one hundred forty-four million, eighty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 89 176 178 356 712 979 1424 1958 3916 7832 15664 73039 146078 292156 584312 803429 1168624 1606858 3213716 6427432 6500471 12854864 13000942 26001884 52003768 71505181 104007536 143010362 286020724 572041448 1144082896