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40372112224 = 2541193315919
BaseRepresentation
bin100101100110010111…
…011000101101100000
310212012121020210111201
4211212113120231200
51130140230042344
630314030250544
72626313202043
oct454627305540
9125177223451
1040372112224
1116138006504
1279a8656a54
133a651ab402
141d4db92c5a
1510b44dc4d4
hex9665d8b60

40372112224 has 48 divisors (see below), whose sum is σ = 81468434880. Its totient is φ = 19682288640.

The previous prime is 40372112201. The next prime is 40372112237. The reversal of 40372112224 is 42221127304.

It is a junction number, because it is equal to n+sod(n) for n = 40372112192 and 40372112201.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2528137 + ... + 2544055.

It is an arithmetic number, because the mean of its divisors is an integer number (1697259060).

Almost surely, 240372112224 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 40372112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40734217440).

40372112224 is an abundant number, since it is smaller than the sum of its proper divisors (41096322656).

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

40372112224 is a wasteful number, since it uses less digits than its factorization.

40372112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17903 (or 17895 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

Adding to 40372112224 its reverse (42221127304), we get a palindrome (82593239528).

The spelling of 40372112224 in words is "forty billion, three hundred seventy-two million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1933 3866 7732 15464 15919 30928 31838 61856 63676 79253 127352 158506 254704 317012 509408 634024 652679 1268048 1305358 2536096 2610716 5221432 10442864 20885728 30771427 61542854 123085708 246171416 492342832 984685664 1261628507 2523257014 5046514028 10093028056 20186056112 40372112224