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1040018148 = 2232132419221
BaseRepresentation
bin111101111111010…
…110101011100100
32200110222101200200
4331333112223210
54112221040043
6251111110500
734526002611
oct7577265344
92613871620
101040018148
11494077034
12250372430
1313760c070
149c1a7508
15614887d3
hex3dfd6ae4

1040018148 has 72 divisors (see below), whose sum is σ = 2843216376. Its totient is φ = 318643200.

The previous prime is 1040018141. The next prime is 1040018149. The reversal of 1040018148 is 8418100401.

It can be written as a sum of positive squares in 4 ways, for example, as 308423844 + 731594304 = 17562^2 + 27048^2 .

It is not an unprimeable number, because it can be changed into a prime (1040018141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108178 + ... + 117398.

Almost surely, 21040018148 is an apocalyptic number.

1040018148 is a gapful number since it is divisible by the number (18) 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 1040018148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421608188).

1040018148 is an abundant number, since it is smaller than the sum of its proper divisors (1803198228).

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

1040018148 is a wasteful number, since it uses less digits than its factorization.

1040018148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9485 (or 9480 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1040018148 is about 32249.3123647621. The cubic root of 1040018148 is about 1013.1652969964.

Adding to 1040018148 its reverse (8418100401), we get a palindrome (9458118549).

The spelling of 1040018148 in words is "one billion, forty million, eighteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 241 468 482 723 964 1446 2169 2892 3133 4338 6266 8676 9221 9399 12532 18442 18798 27663 28197 36884 37596 55326 56394 82989 110652 112788 119873 165978 239746 331956 359619 479492 719238 1078857 1438476 2157714 2222261 4315428 4444522 6666783 8889044 13333566 20000349 26667132 28889393 40000698 57778786 80001396 86668179 115557572 173336358 260004537 346672716 520009074 1040018148