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22433132044141 = 7213832531167641
BaseRepresentation
bin1010001100111000111101…
…10111011101111101101101
32221102120211112122221211121
411012130132313131331231
510420021023300403031
6115413345534020541
74503511632115600
oct506343667357555
987376745587747
1022433132044141
117169924232385
122623836647751
13c695873b5a90
14577aab294337
1528d80d30e011
hex14671edddf6d

22433132044141 has 48 divisors (see below), whose sum is σ = 28453042473408. Its totient is φ = 17528411577600.

The previous prime is 22433132044133. The next prime is 22433132044157. The reversal of 22433132044141 is 14144023133422.

It is not a de Polignac number, because 22433132044141 - 23 = 22433132044133 is a prime.

It is a super-2 number, since 2×224331320441412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22433132044097 and 22433132044106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22433132044181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133732681 + ... + 133900321.

It is an arithmetic number, because the mean of its divisors is an integer number (592771718196).

Almost surely, 222433132044141 is an apocalyptic number.

It is an amenable number.

22433132044141 is a deficient number, since it is larger than the sum of its proper divisors (6019910429267).

22433132044141 is a wasteful number, since it uses less digits than its factorization.

22433132044141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170282 (or 170275 counting only the distinct ones).

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

Adding to 22433132044141 its reverse (14144023133422), we get a palindrome (36577155177563).

The spelling of 22433132044141 in words is "twenty-two trillion, four hundred thirty-three billion, one hundred thirty-two million, forty-four thousand, one hundred forty-one".

Divisors: 1 7 13 49 83 91 581 637 1079 2531 4067 7553 17717 32903 52871 124019 167641 210073 230321 1173487 1470511 1612247 2179333 2730949 8214409 10293577 13914203 15255331 19116643 97399421 106787317 133816501 180884639 424299371 681795947 1266192473 2970095597 5515891823 8863347311 20790669179 35216847793 38611242761 246517934551 270278699327 457819021309 1725625541857 3204733149163 22433132044141