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1000443144 = 2332316311119
BaseRepresentation
bin111011101000011…
…000110100001000
32120201111202222210
4323220120310020
54022103140034
6243134545120
733535424601
oct7350306410
92521452883
101000443144
114737a6818
1223b0681a0
1312c363abc
1496c24da8
155cc6c8e9
hex3ba18d08

1000443144 has 64 divisors (see below), whose sum is σ = 2626099200. Its totient is φ = 316996416.

The previous prime is 1000443137. The next prime is 1000443151. The reversal of 1000443144 is 4413440001.

It is an interprime number because it is at equal distance from previous prime (1000443137) and next prime (1000443151).

It is a self number, because there is not a number n which added to its sum of digits gives 1000443144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84417 + ... + 95535.

It is an arithmetic number, because the mean of its divisors is an integer number (41032800).

Almost surely, 21000443144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000443144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313049600).

1000443144 is an abundant number, since it is smaller than the sum of its proper divisors (1625656056).

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

1000443144 is a wasteful number, since it uses less digits than its factorization.

1000443144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11314 (or 11310 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1000443144 is about 31629.7825474662. The cubic root of 1000443144 is about 1000.1476928524.

Adding to 1000443144 its reverse (4413440001), we get a palindrome (5413883145).

The spelling of 1000443144 in words is "one billion, four hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 163 184 276 326 489 552 652 978 1304 1956 3749 3912 7498 11119 11247 14996 22238 22494 29992 33357 44476 44988 66714 88952 89976 133428 255737 266856 511474 767211 1022948 1534422 1812397 2045896 3068844 3624794 5437191 6137688 7249588 10874382 14499176 21748764 41685131 43497528 83370262 125055393 166740524 250110786 333481048 500221572 1000443144