Search a number
-
+
1144341312 = 26310159011
BaseRepresentation
bin100010000110101…
…0100001101000000
32221202021120011120
41010031110031000
54320422410222
6305315112240
740233512022
oct10415241500
92852246146
101144341312
11537a50624
1227b2a2680
1315310754a
14abda2012
156a6e415c
hex44354340

1144341312 has 56 divisors (see below), whose sum is σ = 3057765792. Its totient is φ = 377664000.

The previous prime is 1144341311. The next prime is 1144341323. The reversal of 1144341312 is 2131434411.

It is a super-3 number, since 3×11443413123 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144341311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10114 + ... + 48897.

Almost surely, 21144341312 is an apocalyptic number.

1144341312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1144341312 is an abundant number, since it is smaller than the sum of its proper divisors (1913424480).

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

1144341312 is a wasteful number, since it uses less digits than its factorization.

1144341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59127 (or 59117 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1144341312 is about 33828.1142247096. The cubic root of 1144341312 is about 1045.9683070924.

Adding to 1144341312 its reverse (2131434411), we get a palindrome (3275775723).

The spelling of 1144341312 in words is "one billion, one hundred forty-four million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1212 1616 2424 3232 4848 6464 9696 19392 59011 118022 177033 236044 354066 472088 708132 944176 1416264 1888352 2832528 3776704 5665056 5960111 11330112 11920222 17880333 23840444 35760666 47680888 71521332 95361776 143042664 190723552 286085328 381447104 572170656 1144341312