Search a number
-
+
442651021331631 = 37199571311590913
BaseRepresentation
bin110010010100101101011100…
…0111000101100110010101111
32011001022000122202112020010220
41210221122320320230302233
5431004343242430103011
64205235023310502423
7162144323646352230
oct14451327070546257
92131260582466126
10442651021331631
11119051275720722
1241790897504a13
1315ccba73542528
147b445d0a89087
153629580032506
hex19296b8e2ccaf

442651021331631 has 32 divisors (see below), whose sum is σ = 710024155261440. Its totient is φ = 239628103778304.

The previous prime is 442651021331579. The next prime is 442651021331681. The reversal of 442651021331631 is 136133120156244.

It is not a de Polignac number, because 442651021331631 - 222 = 442651017137327 is a prime.

It is a super-3 number, since 3×4426510213316313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442651021331681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32394031 + ... + 43984943.

It is an arithmetic number, because the mean of its divisors is an integer number (22188254851920).

Almost surely, 2442651021331631 is an apocalyptic number.

442651021331631 is a deficient number, since it is larger than the sum of its proper divisors (267373133929809).

442651021331631 is a wasteful number, since it uses less digits than its factorization.

442651021331631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11686655.

The product of its (nonzero) digits is 311040, while the sum is 42.

Adding to 442651021331631 its reverse (136133120156244), we get a palindrome (578784141487875).

The spelling of 442651021331631 in words is "four hundred forty-two trillion, six hundred fifty-one billion, twenty-one million, three hundred thirty-one thousand, six hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 399 95713 287139 669991 1818547 2009973 5455641 11590913 12729829 34772739 38189487 81136391 220227347 243409173 660682041 1541591429 4624774287 1109401055969 3328203167907 7765807391783 21078620063411 23297422175349 63235860190233 147550340443877 442651021331631