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42320344421201 = 711437110115711353
BaseRepresentation
bin10011001111101011110010…
…00110001001001101010001
312112211210012120022120100012
421213311321012021031101
521021334031132434301
6230001410422004305
711625354405151460
oct1147657106111521
9175753176276305
1042320344421201
1112536a591559a0
1248b5b71876695
131a7ca397b7192
14a6445c00a9d7
154d5cb14a9ebb
hex267d79189351

42320344421201 has 128 divisors (see below), whose sum is σ = 55649665032192. Its totient is φ = 31238887680000.

The previous prime is 42320344421171. The next prime is 42320344421207. The reversal of 42320344421201 is 10212444302324.

It is a happy number.

42320344421201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42320344421201 - 26 = 42320344421137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42320344421207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3727673741 + ... + 3727685093.

It is an arithmetic number, because the mean of its divisors is an integer number (434763008064).

Almost surely, 242320344421201 is an apocalyptic number.

It is an amenable number.

42320344421201 is a deficient number, since it is larger than the sum of its proper divisors (13329320610991).

42320344421201 is a wasteful number, since it uses less digits than its factorization.

42320344421201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11743.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 42320344421201 its reverse (10212444302324), we get a palindrome (52532788723525).

The spelling of 42320344421201 in words is "forty-two trillion, three hundred twenty billion, three hundred forty-four million, four hundred twenty-one thousand, two hundred one".

Divisors: 1 7 11 43 71 77 101 157 301 473 497 707 781 1099 1111 1727 3053 3311 4343 5467 6751 7171 7777 11147 11353 12089 15857 21371 30401 33583 47257 47773 50197 74261 78029 78881 79471 110999 122617 124883 174427 235081 308353 334411 479321 488179 519827 552167 681851 806063 858319 874181 1125847 1146653 1220989 1782421 2158471 3355247 3391883 3417253 4772957 5272531 5369969 5642441 7500361 7880929 8026571 8866693 12384317 12476947 12613183 19606631 23743181 34660709 36907717 37589783 48411421 49306079 52502527 62066851 76644103 81412363 86690219 88292281 126551891 137246417 180024521 242624963 338879947 345142553 381267799 532525631 536508721 542366869 569886541 843085133 885863237 895535993 1260171647 1392070801 1980269731 2668874593 3500731609 3727679417 3796568083 5441731313 5901595931 6268751951 7741054403 9744495607 12781740991 13861888117 24505121263 38092119191 38508047699 54187380821 59859044443 85151598433 89472186937 140599150901 269556333893 419013311101 549614862613 596061189031 984194056307 3847304038291 6045763488743 42320344421201