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1438912440 = 233257343271
BaseRepresentation
bin101010111000100…
…0000111110111000
310201021120022210100
41111301000332320
510421330144230
6354440515400
750441361000
oct12561007670
93637508710
101438912440
11679257239
12341a7bb60
1319c1542a4
14d9161000
15864ce660
hex55c40fb8

1438912440 has 384 divisors, whose sum is σ = 5601024000. Its totient is φ = 320060160.

The previous prime is 1438912429. The next prime is 1438912441. The reversal of 1438912440 is 442198341.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1438912395 and 1438912404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438912441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5309505 + ... + 5309775.

It is an arithmetic number, because the mean of its divisors is an integer number (14586000).

Almost surely, 21438912440 is an apocalyptic number.

1438912440 is a gapful number since it is divisible by the number (10) 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 1438912440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800512000).

1438912440 is an abundant number, since it is smaller than the sum of its proper divisors (4162111560).

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

1438912440 is a wasteful number, since it uses less digits than its factorization.

1438912440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1438912440 is about 37932.9993541244. Note that the first 3 decimals coincide. The cubic root of 1438912440 is about 1128.9588760736.

The spelling of 1438912440 in words is "one billion, four hundred thirty-eight million, nine hundred twelve thousand, four hundred forty".