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40104040104 = 23321015579901
BaseRepresentation
bin100101010110011000…
…110001011010101000
310211111220211022200200
4211112120301122220
51124113113240404
630231252432200
72616546500502
oct452630613250
9124456738620
1040104040104
111600a7599a7
127932918660
133a217abc5b
141d26330d72
15109abd8839
hex9566316a8

40104040104 has 96 divisors (see below), whose sum is σ = 109898535240. Its totient is φ = 13210560000.

The previous prime is 40104040063. The next prime is 40104040117.

40104040104 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 40004000100 + 100040004 = 200010^2 + 10002^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4045554 + ... + 4055454.

Almost surely, 240104040104 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 40104040104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54949267620).

40104040104 is an abundant number, since it is smaller than the sum of its proper divisors (69794495136).

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

40104040104 is a wasteful number, since it uses less digits than its factorization.

40104040104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10571 (or 10564 counting only the distinct ones).

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

It can be divided in two parts, 401040 and 40104, that added together give a palindrome (441144).

The spelling of 40104040104 in words is "forty billion, one hundred four million, forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 557 606 808 909 1114 1212 1671 1818 2228 2424 3342 3636 4456 5013 6684 7272 9901 10026 13368 19802 20052 29703 39604 40104 56257 59406 79208 89109 112514 118812 168771 178218 225028 237624 337542 356436 450056 506313 675084 712872 1000001 1012626 1350168 2000002 2025252 3000003 4000004 4050504 5514857 6000006 8000008 9000009 11029714 12000012 16544571 18000018 22059428 24000024 33089142 36000036 44118856 49633713 66178284 72000072 99267426 132356568 198534852 397069704 557000557 1114001114 1671001671 2228002228 3342003342 4456004456 5013005013 6684006684 10026010026 13368013368 20052020052 40104040104