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40442303034221 = 11171924147310889
BaseRepresentation
bin10010011001000001101010…
…00110110011001101101101
312022012020122122010011211112
421030200311012303031231
520300101314034043341
6222002534301201405
711342600653565024
oct1114406506631555
9168166578104745
1040442303034221
1111982536809180
124651ba5560265
1319749011535aa
149db5bca678bb
154a1ee53bcaeb
hex24c8351b336d

40442303034221 has 96 divisors (see below), whose sum is σ = 51579366935040. Its totient is φ = 31301696102400.

The previous prime is 40442303034179. The next prime is 40442303034227. The reversal of 40442303034221 is 12243030324404.

It is not a de Polignac number, because 40442303034221 - 242 = 36044256523117 is a prime.

It is a super-2 number, since 2×404423030342212 (a number of 28 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 (40442303034227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129930545 + ... + 130241433.

It is an arithmetic number, because the mean of its divisors is an integer number (537285072240).

Almost surely, 240442303034221 is an apocalyptic number.

40442303034221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

40442303034221 is a deficient number, since it is larger than the sum of its proper divisors (11137063900819).

40442303034221 is a wasteful number, since it uses less digits than its factorization.

40442303034221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311043 (or 311024 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 40442303034221 its reverse (12243030324404), we get a palindrome (52685333358625).

The spelling of 40442303034221 in words is "forty trillion, four hundred forty-two billion, three hundred three million, thirty-four thousand, two hundred twenty-one".

Divisors: 1 11 17 19 41 47 187 209 323 361 451 517 697 779 799 893 1927 3553 3971 6137 7667 8569 8789 9823 13243 14801 15181 16967 21197 32759 36613 67507 145673 162811 166991 186637 251617 288439 310889 360349 402743 622421 695647 2767787 3172829 3419779 5285113 5906891 6846631 7652117 11825999 12746449 14611783 58136243 64975801 100417147 112230929 130085989 140210939 160729613 216689633 242182531 248400311 277623877 599083103 1104588617 1234540219 1907925793 2383585963 2664007841 2732403421 3053862647 4117103027 4601468089 4719605909 5274853663 6589914133 10184412751 11382578957 20987183723 45288133297 50616148979 51915664999 58023390293 78224957513 89672512271 112028540261 125208368527 193503842269 216269000183 860474532643 986397634981 2128542264959 2378959002013 3676573003111 40442303034221