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42030001224 = 2335131165041
BaseRepresentation
bin100111001001001011…
…101110110001001000
311000111010212021200000
4213021023232301020
51142034140014344
631150332443000
73015354054501
oct471113566110
9130433767600
1042030001224
1116908927002
12818b919460
133c6a802313
14206a035ba8
15115ed23a69
hex9c92eec48

42030001224 has 96 divisors (see below), whose sum is σ = 118949070240. Its totient is φ = 13902969600.

The previous prime is 42030001103. The next prime is 42030001241. The reversal of 42030001224 is 42210003024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42030001197 and 42030001206.

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, 172144 + ... + 337184.

It is an arithmetic number, because the mean of its divisors is an integer number (1239052815).

Almost surely, 242030001224 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 42030001224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59474535120).

42030001224 is an abundant number, since it is smaller than the sum of its proper divisors (76919069016).

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

42030001224 is a wasteful number, since it uses less digits than its factorization.

42030001224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165193 (or 165177 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42030001224 its reverse (42210003024), we get a palindrome (84240004248).

The spelling of 42030001224 in words is "forty-two billion, thirty million, one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 131 162 216 243 262 324 393 486 524 648 786 972 1048 1179 1572 1944 2358 3144 3537 4716 7074 9432 10611 14148 21222 28296 31833 42444 63666 84888 127332 165041 254664 330082 495123 660164 990246 1320328 1485369 1980492 2970738 3960984 4456107 5941476 8912214 11882952 13368321 17824428 21620371 26736642 35648856 40104963 43240742 53473284 64861113 80209926 86481484 106946568 129722226 160419852 172962968 194583339 259444452 320839704 389166678 518888904 583750017 778333356 1167500034 1556666712 1751250051 2335000068 3502500102 4670000136 5253750153 7005000204 10507500306 14010000408 21015000612 42030001224