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1014044040 = 233251011672
BaseRepresentation
bin111100011100010…
…001010110001000
32121200002202220200
4330130101112020
54034043402130
6244342252200
734062142422
oct7434212610
92550082820
101014044040
11480446329
12243727060
13132116679
1498965812
155e057760
hex3c711588

1014044040 has 144 divisors (see below), whose sum is σ = 3348322380. Its totient is φ = 266131200.

The previous prime is 1014044023. The next prime is 1014044051. The reversal of 1014044040 is 404404101.

It can be written as a sum of positive squares in 2 ways, for example, as 964847844 + 49196196 = 31062^2 + 7014^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 6072037 + ... + 6072203.

Almost surely, 21014044040 is an apocalyptic number.

1014044040 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 1014044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674161190).

1014044040 is an abundant number, since it is smaller than the sum of its proper divisors (2334278340).

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

1014044040 is a wasteful number, since it uses less digits than its factorization.

1014044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1014044040 is about 31844.0581584697. The cubic root of 1014044040 is about 1004.6596010617.

Adding to 1014044040 its reverse (404404101), we get a palindrome (1418448141).

The spelling of 1014044040 in words is "one billion, fourteen million, forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 167 180 202 303 334 360 404 501 505 606 668 808 835 909 1002 1010 1212 1336 1503 1515 1670 1818 2004 2020 2424 2505 3006 3030 3340 3636 4008 4040 4545 5010 6012 6060 6680 7272 7515 9090 10020 12024 12120 15030 16867 18180 20040 27889 30060 33734 36360 50601 55778 60120 67468 83667 84335 101202 111556 134936 139445 151803 167334 168670 202404 223112 251001 253005 278890 303606 334668 337340 404808 418335 502002 506010 557780 607212 669336 674680 759015 836670 1004004 1012020 1115560 1214424 1255005 1518030 1673340 2008008 2024040 2510010 2816789 3036060 3346680 5020020 5633578 6072120 8450367 10040040 11267156 14083945 16900734 22534312 25351101 28167890 33801468 42251835 50702202 56335780 67602936 84503670 101404404 112671560 126755505 169007340 202808808 253511010 338014680 507022020 1014044040