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1001041144 = 2319232811019
BaseRepresentation
bin111011101010101…
…010110011111000
32120202122011021221
4323222222303320
54022231304034
6243155441424
733543465205
oct7352526370
92522564257
101001041144
11474075034
1223b2b6274
1312c51304c
1496d3ccac
155cd39bb4
hex3baaacf8

1001041144 has 64 divisors (see below), whose sum is σ = 2071008000. Its totient is φ = 451503360.

The previous prime is 1001041133. The next prime is 1001041147. The reversal of 1001041144 is 4411401001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001041147) 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, 981867 + ... + 982885.

It is an arithmetic number, because the mean of its divisors is an integer number (32359500).

Almost surely, 21001041144 is an apocalyptic number.

It is an amenable number.

1001041144 is an abundant number, since it is smaller than the sum of its proper divisors (1069966856).

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

1001041144 is a wasteful number, since it uses less digits than its factorization.

1001041144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1001041144 is about 31639.2342511635. The cubic root of 1001041144 is about 1000.3469276273.

Adding to 1001041144 its reverse (4411401001), we get a palindrome (5412442145).

The spelling of 1001041144 in words is "one billion, one million, forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 23 38 46 76 92 152 184 281 437 562 874 1019 1124 1748 2038 2248 3496 4076 5339 6463 8152 10678 12926 19361 21356 23437 25852 38722 42712 46874 51704 77444 93748 122797 154888 187496 245594 286339 445303 491188 572678 890606 982376 1145356 1781212 2290712 3562424 5440441 6585797 10880882 13171594 21761764 26343188 43523528 52686376 125130143 250260286 500520572 1001041144