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1132350144 = 26317192312
BaseRepresentation
bin100001101111110…
…0100101011000000
32220220201100101020
41003133210223000
54304340201034
6304210105440
740026550242
oct10337445300
92826640336
101132350144
11531200472
1227727b280
13150799593
14aa560092
1569626249
hex437e4ac0

1132350144 has 252 divisors, whose sum is σ = 3459476952. Its totient is φ = 325693440.

The previous prime is 1132350119. The next prime is 1132350169. The reversal of 1132350144 is 4410532311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1132350119) and next prime (1132350169).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36527409 + ... + 36527439.

Almost surely, 21132350144 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 1132350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729738476).

1132350144 is an abundant number, since it is smaller than the sum of its proper divisors (2327126808).

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

1132350144 is a wasteful number, since it uses less digits than its factorization.

1132350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1132350144 is about 33650.4107552939. The cubic root of 1132350144 is about 1042.3020210742.

Adding to 1132350144 its reverse (4410532311), we get a palindrome (5542882455).

The spelling of 1132350144 in words is "one billion, one hundred thirty-two million, three hundred fifty thousand, one hundred forty-four".