Search a number
-
+
1144021536 = 25337435383
BaseRepresentation
bin100010000110000…
…0110001000100000
32221201200022112000
41010030012020200
54320332142121
6305304204000
740231010520
oct10414061040
92851608460
101144021536
11537852349
1227b169600
13153024b28
14abd1b680
156a67e526
hex44306220

1144021536 has 384 divisors, whose sum is σ = 4023613440. Its totient is φ = 309464064.

The previous prime is 1144021499. The next prime is 1144021577. The reversal of 1144021536 is 6351204411.

It is a happy number.

1144021536 is a `hidden beast` number, since 1 + 1 + 440 + 215 + 3 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13783351 + ... + 13783433.

It is an arithmetic number, because the mean of its divisors is an integer number (10478160).

Almost surely, 21144021536 is an apocalyptic number.

1144021536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144021536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011806720).

1144021536 is an abundant number, since it is smaller than the sum of its proper divisors (2879591904).

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

1144021536 is a wasteful number, since it uses less digits than its factorization.

1144021536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1144021536 is about 33823.3874116712. The cubic root of 1144021536 is about 1045.8708691695.

Adding to 1144021536 its reverse (6351204411), we get a palindrome (7495225947).

The spelling of 1144021536 in words is "one billion, one hundred forty-four million, twenty-one thousand, five hundred thirty-six".