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1244144020 = 225719944657
BaseRepresentation
bin100101000101000…
…0010000110010100
310012201002001202011
41022022002012110
510022000102040
6323242154004
742555023020
oct11212020624
93181061664
101244144020
115893178a9
122a87b2904
1316a9ac2c2
14bb341380
157435a3ea
hex4a282194

1244144020 has 48 divisors (see below), whose sum is σ = 3001017600. Its totient is φ = 424410624.

The previous prime is 1244144017. The next prime is 1244144023. The reversal of 1244144020 is 204414421.

It is an interprime number because it is at equal distance from previous prime (1244144017) and next prime (1244144023).

It is a junction number, because it is equal to n+sod(n) for n = 1244143982 and 1244144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244144023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5532 + ... + 50188.

It is an arithmetic number, because the mean of its divisors is an integer number (62521200).

Almost surely, 21244144020 is an apocalyptic number.

1244144020 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 1244144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500508800).

1244144020 is an abundant number, since it is smaller than the sum of its proper divisors (1756873580).

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

1244144020 is a wasteful number, since it uses less digits than its factorization.

1244144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44872 (or 44870 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1244144020 is about 35272.4257742503. The cubic root of 1244144020 is about 1075.5325344184.

Adding to 1244144020 its reverse (204414421), we get a palindrome (1448558441).

The spelling of 1244144020 in words is "one billion, two hundred forty-four million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 796 995 1393 1990 2786 3980 5572 6965 13930 27860 44657 89314 178628 223285 312599 446570 625198 893140 1250396 1562995 3125990 6251980 8886743 17773486 35546972 44433715 62207201 88867430 124414402 177734860 248828804 311036005 622072010 1244144020