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42321324044312 = 23232922743979589
BaseRepresentation
bin10011001111101101100110…
…11111000111000000011000
312112211212201211122120121122
421213312303133013000120
521021343032423404222
6230002051534424412
711625420601623515
oct1147666337070030
9175755654576548
1042321324044312
1112537411121275
1248b61a5962108
131a7cb6473b521
14a6451217230c
154d5d1c4b3a42
hex267db37c7018

42321324044312 has 128 divisors (see below), whose sum is σ = 86232263040000. Its totient is φ = 19412025110016.

The previous prime is 42321324044303. The next prime is 42321324044317. The reversal of 42321324044312 is 21344042312324.

It is a happy number.

It is a super-3 number, since 3×423213240443123 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42321324044317) 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, 531708614 + ... + 531788202.

It is an arithmetic number, because the mean of its divisors is an integer number (673689555000).

Almost surely, 242321324044312 is an apocalyptic number.

It is an amenable number.

42321324044312 is an abundant number, since it is smaller than the sum of its proper divisors (43910938995688).

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

42321324044312 is a wasteful number, since it uses less digits than its factorization.

42321324044312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80313 (or 80309 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 42321324044312 its reverse (21344042312324), we get a palindrome (63665366356636).

The spelling of 42321324044312 in words is "forty-two trillion, three hundred twenty-one billion, three hundred twenty-four million, forty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 23 29 46 58 92 116 184 227 232 439 454 667 878 908 1334 1756 1816 2668 3512 5221 5336 6583 10097 10442 12731 13166 20194 20884 25462 26332 40388 41768 50924 52664 79589 80776 99653 101848 151409 159178 199306 292813 302818 318356 398612 585626 605636 636712 797224 1171252 1211272 1830547 2292019 2308081 2342504 2889937 3661094 4584038 4616162 5779874 7322188 9168076 9232324 11559748 14644376 18066703 18336152 18464648 23119496 34939571 36133406 53085863 66468551 69879142 72266812 106171726 132937102 139758284 144533624 212343452 265874204 279516568 415534169 424686904 523934387 531748408 803610133 831068338 1013247559 1047868774 1607220266 1662136676 2026495118 2095737548 3214440532 3324273352 4052990236 4191475096 6428881064 7931282617 8105980472 12050490901 15862565234 23304693857 24100981802 31725130468 46609387714 48201963604 63450260936 93218775428 96403927208 182419500191 186437550856 230007195893 364839000382 460014391786 729678000764 920028783572 1459356001528 1840057567144 5290165505539 10580331011078 21160662022156 42321324044312