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1244150040 = 233572371907
BaseRepresentation
bin100101000101000…
…0011100100011000
310012201002101000010
41022022003210120
510022000300130
6323242241520
742555046410
oct11212034430
93181071003
101244150040
11589321381
122a87b62a0
1316a9b1c73
14bb343640
157435c0b0
hex4a283918

1244150040 has 256 divisors, whose sum is σ = 4518789120. Its totient is φ = 267886080.

The previous prime is 1244150009. The next prime is 1244150059. The reversal of 1244150040 is 400514421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1244149989 and 1244150016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1371267 + ... + 1372173.

It is an arithmetic number, because the mean of its divisors is an integer number (17651520).

Almost surely, 21244150040 is an apocalyptic number.

1244150040 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 1244150040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259394560).

1244150040 is an abundant number, since it is smaller than the sum of its proper divisors (3274639080).

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

1244150040 is a wasteful number, since it uses less digits than its factorization.

1244150040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1244150040 is about 35272.5111099281. The cubic root of 1244150040 is about 1075.5342691306.

Adding to 1244150040 its reverse (400514421), we get a palindrome (1644664461).

It can be divided in two parts, 12441 and 50040, that added together give a triangular number (62481 = T353).

The spelling of 1244150040 in words is "one billion, two hundred forty-four million, one hundred fifty thousand, forty".