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42024222045 = 32513293766949
BaseRepresentation
bin100111001000110101…
…101011110101011101
311000110201222200010100
4213020311223311131
51142031200101140
631150004531313
73015253664541
oct471065536535
9130421880110
1042024222045
111690563a023
1281899b0b39
133c6955a9a0
14206936da21
15115e581530
hex9c8d6bd5d

42024222045 has 96 divisors (see below), whose sum is σ = 83344716000. Its totient is φ = 19435272192.

The previous prime is 42024222041. The next prime is 42024222049. The reversal of 42024222045 is 54022242024.

It is an interprime number because it is at equal distance from previous prime (42024222041) and next prime (42024222049).

It can be written as a sum of positive squares in 16 ways, for example, as 850130649 + 41174091396 = 29157^2 + 202914^2 .

It is not a de Polignac number, because 42024222045 - 22 = 42024222041 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42024222041) 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, 594231 + ... + 661179.

It is an arithmetic number, because the mean of its divisors is an integer number (868174125).

Almost surely, 242024222045 is an apocalyptic number.

42024222045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42024222045 is a deficient number, since it is larger than the sum of its proper divisors (41320493955).

42024222045 is a wasteful number, since it uses less digits than its factorization.

42024222045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67039 (or 67036 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 42024222045 its reverse (54022242024), we get a palindrome (96046464069).

The spelling of 42024222045 in words is "forty-two billion, twenty-four million, two hundred twenty-two thousand, forty-five".

Divisors: 1 3 5 9 13 15 29 37 39 45 65 87 111 117 145 185 195 261 333 377 435 481 555 585 1073 1131 1305 1443 1665 1885 2405 3219 3393 4329 5365 5655 7215 9657 13949 16095 16965 21645 41847 48285 66949 69745 125541 200847 209235 334745 602541 627705 870337 1004235 1941521 2477113 2611011 3012705 4351685 5824563 7431339 7833033 9707605 12385565 13055055 17473689 22294017 25239773 29122815 32202469 37156695 39165165 71836277 75719319 87368445 96607407 111470085 126198865 161012345 215508831 227157957 289822221 359181385 378596595 483037035 646526493 933871601 1077544155 1135789785 1449111105 2801614803 3232632465 4669358005 8404844409 14008074015 42024222045