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1000040144 = 24377921383
BaseRepresentation
bin111011100110110…
…110011011010000
32120200202022011212
4323212312123100
54022002241034
6243122155252
733532125635
oct7346663320
92520668155
101000040144
11473550a64
1223aab2b28
1312c25253c
1496b5c18c
155cbdd2ce
hex3b9b66d0

1000040144 has 40 divisors (see below), whose sum is σ = 2015228160. Its totient is φ = 480325248.

The previous prime is 1000040141. The next prime is 1000040179. The reversal of 1000040144 is 4410400001.

It is a super-2 number, since 2×10000401442 = 2000160579223081472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000040141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36077 + ... + 57459.

It is an arithmetic number, because the mean of its divisors is an integer number (50380704).

Almost surely, 21000040144 is an apocalyptic number.

It is an amenable number.

1000040144 is an abundant number, since it is smaller than the sum of its proper divisors (1015188016).

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

1000040144 is a wasteful number, since it uses less digits than its factorization.

1000040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21507 (or 21501 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1000040144 is about 31623.4113276857. The cubic root of 1000040144 is about 1000.0133811543.

Adding to 1000040144 its reverse (4410400001), we get a palindrome (5410440145).

The spelling of 1000040144 in words is "one billion, forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 37 74 79 148 158 296 316 592 632 1264 2923 5846 11692 21383 23384 42766 46768 85532 171064 342128 791171 1582342 1689257 3164684 3378514 6329368 6757028 12658736 13514056 27028112 62502509 125005018 250010036 500020072 1000040144