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1231409088 = 263371341191
BaseRepresentation
bin100100101100101…
…1100111111000000
310011211010001201000
41021121130333000
510010220042323
6322105212000
742341542650
oct11131347700
93154101630
101231409088
11582109968
122a4491000
13168170940
14b9788360
1573191e43
hex4965cfc0

1231409088 has 448 divisors, whose sum is σ = 4588093440. Its totient is φ = 315187200.

The previous prime is 1231409087. The next prime is 1231409089. The reversal of 1231409088 is 8809041321.

It is an interprime number because it is at equal distance from previous prime (1231409087) and next prime (1231409089).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231409087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6447073 + ... + 6447263.

It is an arithmetic number, because the mean of its divisors is an integer number (10241280).

Almost surely, 21231409088 is an apocalyptic number.

1231409088 is a gapful number since it is divisible by the number (18) 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 1231409088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294046720).

1231409088 is an abundant number, since it is smaller than the sum of its proper divisors (3356684352).

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

1231409088 is a wasteful number, since it uses less digits than its factorization.

1231409088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1231409088 is about 35091.4389559619. The cubic root of 1231409088 is about 1071.8502612565.

The spelling of 1231409088 in words is "one billion, two hundred thirty-one million, four hundred nine thousand, eighty-eight".