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42012434322 = 2331759775681
BaseRepresentation
bin100111001000001000…
…101101111110010010
311000102220210210102000
4213020020231332102
51142020140344242
631144504134430
73015051541155
oct471010557622
9130386723360
1042012434322
11168a9a18801
128185a67416
133c66c914c1
142067981c9c
15115d503a4c
hex9c822df92

42012434322 has 64 divisors (see below), whose sum is σ = 100528387200. Its totient is φ = 12956958720.

The previous prime is 42012434309. The next prime is 42012434329. The reversal of 42012434322 is 22343421024.

42012434322 is a `hidden beast` number, since 4 + 201 + 2 + 434 + 3 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42012434329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 333679 + ... + 442002.

It is an arithmetic number, because the mean of its divisors is an integer number (1570756050).

Almost surely, 242012434322 is an apocalyptic number.

42012434322 is an abundant number, since it is smaller than the sum of its proper divisors (58515952878).

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

42012434322 is a wasteful number, since it uses less digits than its factorization.

42012434322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775768 (or 775762 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42012434322 its reverse (22343421024), we get a palindrome (64355855346).

The spelling of 42012434322 in words is "forty-two billion, twelve million, four hundred thirty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 59 102 118 153 177 306 354 459 531 918 1003 1062 1593 2006 3009 3186 6018 9027 18054 27081 54162 775681 1551362 2327043 4654086 6981129 13186577 13962258 20943387 26373154 39559731 41886774 45765179 79119462 91530358 118679193 137295537 237358386 274591074 356037579 411886611 712075158 778008043 823773222 1235659833 1556016086 2334024129 2471319666 4668048258 7002072387 14004144774 21006217161 42012434322