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40939047556 = 221121725412
BaseRepresentation
bin100110001000001010…
…000100101010000100
310220200010001002120121
4212020022010222010
51132320344010211
630450201511324
72646336106531
oct461012045204
9126603032517
1040939047556
11163a9030400
127b264a2544
133b2579b0c4
141da51add88
1510e9178271
hex988284a84

40939047556 has 81 divisors (see below), whose sum is σ = 83808118191. Its totient is φ = 17481657600.

The previous prime is 40939047553. The next prime is 40939047557. The reversal of 40939047556 is 65574093904.

It is a happy number.

The square root of 40939047556 is 202334.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1490732100 + 39448315456 = 38610^2 + 198616^2 .

It is a super-2 number, since 2×409390475562 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40939047551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75672646 + ... + 75673186.

Almost surely, 240939047556 is an apocalyptic number.

40939047556 is the 202334-th square number.

It is an amenable number.

40939047556 is an abundant number, since it is smaller than the sum of its proper divisors (42869070635).

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

40939047556 is a wasteful number, since it uses less digits than its factorization.

40939047556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 52.

The spelling of 40939047556 in words is "forty billion, nine hundred thirty-nine million, forty-seven thousand, five hundred fifty-six".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 289 374 484 541 578 748 1082 1156 2057 2164 3179 4114 5951 6358 8228 9197 11902 12716 18394 23804 34969 36788 65461 69938 101167 130922 139876 156349 202334 261844 292681 312698 404668 585362 625396 1112837 1170724 1719839 2225674 3219491 3439678 4451348 4975577 6438982 6879356 9951154 12877964 18918229 19902308 35414401 37836458 54731347 70828802 75672916 84584809 109462694 141657604 169169618 218925388 338339236 602044817 930432899 1204089634 1860865798 2408179268 3721731596 10234761889 20469523778 40939047556