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40204131444 = 22324723761307
BaseRepresentation
bin100101011100010110…
…100101110001110100
310211202220011111012100
4211130112211301310
51124314224201234
630245230022100
72622203323131
oct453426456164
9124686144170
1040204131444
1116061203014
127960347930
133a394551b9
141d35747588
1510a48aa399
hex95c5a5c74

40204131444 has 36 divisors (see below), whose sum is σ = 103789393344. Its totient is φ = 13116240912.

The previous prime is 40204131433. The next prime is 40204131467. The reversal of 40204131444 is 44413140204.

40204131444 is a `hidden beast` number, since 4 + 0 + 204 + 13 + 1 + 444 = 666.

40204131444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11878962 + ... + 11882345.

It is an arithmetic number, because the mean of its divisors is an integer number (2883038704).

Almost surely, 240204131444 is an apocalyptic number.

It is an amenable number.

40204131444 is an abundant number, since it is smaller than the sum of its proper divisors (63585261900).

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

40204131444 is a wasteful number, since it uses less digits than its factorization.

40204131444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23761364 (or 23761359 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40204131444 its reverse (44413140204), we get a palindrome (84617271648).

The spelling of 40204131444 in words is "forty billion, two hundred four million, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 23761307 47522614 71283921 95045228 142567842 213851763 285135684 427703526 855407052 1116781429 2233562858 3350344287 4467125716 6700688574 10051032861 13401377148 20102065722 40204131444