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42224929461 = 321113163201281
BaseRepresentation
bin100111010100110011…
…010100101010110101
311000222201122122221100
4213110303110222311
51142434040220321
631221534440313
73023241656421
oct472463245265
9130881578840
1042224929461
11169a8965520
128225063099
133c9c001c80
142087c97b81
151171eca326
hex9d4cd4ab5

42224929461 has 48 divisors (see below), whose sum is σ = 72094381632. Its totient is φ = 23477299200.

The previous prime is 42224929459. The next prime is 42224929517. The reversal of 42224929461 is 16492942224.

It is a happy number.

It is not a de Polignac number, because 42224929461 - 21 = 42224929459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42224929441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109141 + ... + 310421.

It is an arithmetic number, because the mean of its divisors is an integer number (1501966284).

Almost surely, 242224929461 is an apocalyptic number.

It is an amenable number.

42224929461 is a deficient number, since it is larger than the sum of its proper divisors (29869452171).

42224929461 is a wasteful number, since it uses less digits than its factorization.

42224929461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201474 (or 201471 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 42224929461 in words is "forty-two billion, two hundred twenty-four million, nine hundred twenty-nine thousand, four hundred sixty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 163 429 489 1287 1467 1793 2119 5379 6357 16137 19071 23309 69927 201281 209781 603843 1811529 2214091 2616653 6642273 7849959 19926819 23549877 28783183 32808803 86349549 98426409 259048647 295279227 360896833 426514439 1082690499 1279543317 3248071497 3838629951 4691658829 14074976487 42224929461