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1244145000 = 23354717241
BaseRepresentation
bin100101000101000…
…0010010101101000
310012201002010002110
41022022002111220
510022000120000
6323242202320
742555025620
oct11212022550
93181063073
101244145000
1158931860a
122a87b33a0
1316a9ac897
14bb341880
157435a850
hex4a282568

1244145000 has 480 divisors, whose sum is σ = 4833702720. Its totient is φ = 261120000.

The previous prime is 1244144969. The next prime is 1244145013. The reversal of 1244145000 is 5414421.

It is a happy number.

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

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 119 ways as a sum of consecutive naturals, for example, 30344980 + ... + 30345020.

It is an arithmetic number, because the mean of its divisors is an integer number (10070214).

Almost surely, 21244145000 is an apocalyptic number.

1244145000 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 1244145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416851360).

1244145000 is an abundant number, since it is smaller than the sum of its proper divisors (3589557720).

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

1244145000 is a wasteful number, since it uses less digits than its factorization.

1244145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 75 counting only the distinct ones).

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

The square root of 1244145000 is about 35272.4396661189. The cubic root of 1244145000 is about 1075.5328168138.

Adding to 1244145000 its reverse (5414421), we get a palindrome (1249559421).

The spelling of 1244145000 in words is "one billion, two hundred forty-four million, one hundred forty-five thousand".