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40450205404 = 2273283104179
BaseRepresentation
bin100101101011000001…
…010010011011011100
310212102001012100012201
4211223001102123130
51130320223033104
630325500141244
72631252034000
oct455301223334
9125361170181
1040450205404
11161780a5024
127a0a837824
133a784218ab
141d5a2c0700
1510bb2b60a4
hex96b0526dc

40450205404 has 48 divisors (see below), whose sum is σ = 82843936000. Its totient is φ = 17274379248.

The previous prime is 40450205377. The next prime is 40450205407.

40450205404 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40450205407) 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 15 ways as a sum of consecutive naturals, for example, 336187 + ... + 440365.

Almost surely, 240450205404 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 40450205404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41421968000).

40450205404 is an abundant number, since it is smaller than the sum of its proper divisors (42393730596).

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

40450205404 is a wasteful number, since it uses less digits than its factorization.

40450205404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104487 (or 104471 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The spelling of 40450205404 in words is "forty billion, four hundred fifty million, two hundred five thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 283 343 566 686 1132 1372 1981 3962 7924 13867 27734 55468 97069 104179 194138 208358 388276 416716 729253 1458506 2917012 5104771 10209542 20419084 29482657 35733397 58965314 71466794 117930628 142933588 206378599 412757198 825514396 1444650193 2889300386 5778600772 10112551351 20225102702 40450205404