Search a number
-
+
1144011924 = 223511271137
BaseRepresentation
bin100010000110000…
…0011110010010100
32221201122211100000
41010030003302110
54320331340144
6305304051300
740230640506
oct10414036224
92851584300
101144011924
11537846100
1227b163b30
13153020643
14abd17d76
156a67b769
hex44303c94

1144011924 has 216 divisors, whose sum is σ = 3367151424. Its totient is φ = 339292800.

The previous prime is 1144011919. The next prime is 1144011929. The reversal of 1144011924 is 4291104411.

It is an interprime number because it is at equal distance from previous prime (1144011919) and next prime (1144011929).

It is a Harshad number since it is a multiple of its sum of digits (27).

1144011924 is a modest number, since divided by 11924 gives 11440 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144011929) 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 71 ways as a sum of consecutive naturals, for example, 8350384 + ... + 8350520.

It is an arithmetic number, because the mean of its divisors is an integer number (15588664).

Almost surely, 21144011924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144011924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683575712).

1144011924 is an abundant number, since it is smaller than the sum of its proper divisors (2223139500).

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

1144011924 is a wasteful number, since it uses less digits than its factorization.

1144011924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1144011924 is about 33823.2453203415. The cubic root of 1144011924 is about 1045.8679400466.

The spelling of 1144011924 in words is "one billion, one hundred forty-four million, eleven thousand, nine hundred twenty-four".