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1139310144 = 26337131719
BaseRepresentation
bin100001111101000…
…0111111001000000
32221101210221201000
41003322013321000
54313130411034
6305015212000
740142655630
oct10372077100
92841727630
101139310144
11535124635
12279677000
1315206551b
14ab4526c0
156a04d599
hex43e87e40

1139310144 has 224 divisors, whose sum is σ = 3862425600. Its totient is φ = 322583040.

The previous prime is 1139310103. The next prime is 1139310149. The reversal of 1139310144 is 4410139311.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139310149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1584217 + ... + 1584935.

Almost surely, 21139310144 is an apocalyptic number.

1139310144 is a gapful number since it is divisible by the number (14) 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 1139310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931212800).

1139310144 is an abundant number, since it is smaller than the sum of its proper divisors (2723115456).

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

1139310144 is a wasteful number, since it uses less digits than its factorization.

1139310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1139310144 is about 33753.6686006129. The cubic root of 1139310144 is about 1044.4331667947.

Adding to 1139310144 its reverse (4410139311), we get a palindrome (5549449455).

The spelling of 1139310144 in words is "one billion, one hundred thirty-nine million, three hundred ten thousand, one hundred forty-four".