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9990440999 = 7211137193701
BaseRepresentation
bin10010100110111101…
…00000100000100111
3221210020202222122022
421103132200200213
5130430023102444
64331201453355
7502400230100
oct112336404047
927706688568
109990440999
114267386210
121b2994125b
13c32a21566
146aab953a7
153d71209ee
hex2537a0827

9990440999 has 48 divisors (see below), whose sum is σ = 12855057696. Its totient is φ = 7676928000.

The previous prime is 9990440963. The next prime is 9990441001.

9990440999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9990440999 - 216 = 9990375463 is a prime.

It is a super-2 number, since 2×99904409992 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9990440699) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14251349 + ... + 14252049.

It is an arithmetic number, because the mean of its divisors is an integer number (267813702).

Almost surely, 29990440999 is an apocalyptic number.

9990440999 is a deficient number, since it is larger than the sum of its proper divisors (2864616697).

9990440999 is a wasteful number, since it uses less digits than its factorization.

9990440999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 62.

The square root of 9990440999 is about 99952.1935677252. The cubic root of 9990440999 is about 2153.7479964033.

The spelling of 9990440999 in words is "nine billion, nine hundred ninety million, four hundred forty thousand, nine hundred ninety-nine".

Divisors: 1 7 11 49 77 137 193 539 701 959 1351 1507 2123 4907 6713 7711 9457 10549 14861 26441 34349 53977 73843 96037 104027 135293 185087 290851 377839 672259 947051 1056407 1295609 1488223 2035957 4705813 6629357 7394849 10417561 14251699 18535141 51763943 72922927 129745987 203886551 908221909 1427205857 9990440999