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22141413034432 = 2619210113769259
BaseRepresentation
bin1010000100011001100110…
…00011110000100111000000
32220101200212010212211012121
411002030303003300213000
510400231103214100212
6115031342535134024
74443443566340116
oct502146303604700
986350763784177
1022141413034432
11706713648370a
1225971a2514314
13c47c070a0633
14567915c81ab6
15285e37b51d07
hex1423330f09c0

22141413034432 has 168 divisors, whose sum is σ = 47172668235120. Its totient is φ = 10308249907200.

The previous prime is 22141413034409. The next prime is 22141413034453. The reversal of 22141413034432 is 23443031414122.

It is a super-2 number, since 2×221414130344322 (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 319655419 + ... + 319724677.

Almost surely, 222141413034432 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 22141413034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23586334117560).

22141413034432 is an abundant number, since it is smaller than the sum of its proper divisors (25031255200688).

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

22141413034432 is a wasteful number, since it uses less digits than its factorization.

22141413034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69547 (or 69518 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 22141413034432 its reverse (23443031414122), we get a palindrome (45584444448554).

The spelling of 22141413034432 in words is "twenty-two trillion, one hundred forty-one billion, four hundred thirteen million, thirty-four thousand, four hundred thirty-two".