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42312330222032 = 241317191036114541
BaseRepresentation
bin10011001111011100110110…
…11010011001100111010000
312112211000112001012001211202
421213232123122121213100
521021221123014101112
6225554003253530332
711624651662452353
oct1147563332314720
9175730461161752
1042312330222032
111253361636a4a2
1248b44b59439a8
131a7c0603420b0
14a63cdb8c829a
154d5992b076c2
hex267b9b6999d0

42312330222032 has 160 divisors (see below), whose sum is σ = 99354948376320. Its totient is φ = 17243589795840.

The previous prime is 42312330222031. The next prime is 42312330222053. The reversal of 42312330222032 is 23022203321324.

It is a junction number, because it is equal to n+sod(n) for n = 42312330221986 and 42312330222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42312330222031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3862682 + ... + 9977222.

It is an arithmetic number, because the mean of its divisors is an integer number (620968427352).

Almost surely, 242312330222032 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 42312330222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49677474188160).

42312330222032 is an abundant number, since it is smaller than the sum of its proper divisors (57042618154288).

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

42312330222032 is a wasteful number, since it uses less digits than its factorization.

42312330222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114701 (or 6114695 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 42312330222032 its reverse (23022203321324), we get a palindrome (65334533543356).

The spelling of 42312330222032 in words is "forty-two trillion, three hundred twelve billion, three hundred thirty million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 17 19 26 34 38 52 68 76 103 104 136 152 206 208 221 247 272 304 323 412 442 494 646 824 884 988 1292 1339 1648 1751 1768 1957 1976 2584 2678 3502 3536 3914 3952 4199 5168 5356 7004 7828 8398 10712 14008 15656 16796 21424 22763 25441 28016 31312 33269 33592 45526 50882 66538 67184 91052 101764 133076 182104 203528 266152 364208 407056 432497 532304 864994 1729988 3459976 6114541 6919952 12229082 24458164 48916328 79489033 97832656 103947197 116176279 158978066 207894394 232352558 317956132 415788788 464705116 629797723 635912264 831577576 929410232 1259595446 1271824528 1351313561 1510291627 1663155152 1858820464 1974996743 2519190892 2702627122 3020583254 3949993486 5038381784 5405254244 6041166508 7899986972 8187370399 10076763568 10706561291 10810508488 11966156737 12082333016 15799973944 16374740798 21413122582 21621016976 23932313474 24164666032 25674957659 31599947888 32749481596 42826245164 47864626948 51349915318 65498963192 85652490328 95729253896 102699830636 130997926384 139185296783 155560037581 171304980656 191458507792 203424664529 205399661272 278370593566 311120075162 406849329058 410799322544 556741187132 622240150324 813698658116 1113482374264 1244480300648 1627397316232 2226964748528 2488960601296 2644520638877 3254794632464 5289041277754 10578082555508 21156165111016 42312330222032