Search a number
-
+
422400332221312 = 2759397140887273
BaseRepresentation
bin110000000001010111011110…
…1110000010100101110000000
32001101121002002102021102201111
41200002232331300110232000
5420331101340022040222
64054212011143013104
7154654263001132504
oct14002567560245600
92041532072242644
10422400332221312
11112653a7a648685
123b46002073a194
13151902464a4033
1476443dc6b8304
1533c7906b11777
hex1802bbdc14b80

422400332221312 has 64 divisors (see below), whose sum is σ = 857918966295600. Its totient is φ = 207097527250944.

The previous prime is 422400332221271. The next prime is 422400332221313. The reversal of 422400332221312 is 213122233004224.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422400332221313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67445493 + ... + 73441780.

Almost surely, 2422400332221312 is an apocalyptic number.

It is an amenable number.

422400332221312 is an abundant number, since it is smaller than the sum of its proper divisors (435518634074288).

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

422400332221312 is a wasteful number, since it uses less digits than its factorization.

422400332221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140887743 (or 140887731 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 422400332221312 its reverse (213122233004224), we get a palindrome (635522565225536).

The spelling of 422400332221312 in words is "four hundred twenty-two trillion, four hundred billion, three hundred thirty-two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 397 472 794 944 1588 1888 3176 3776 6352 7552 12704 23423 25408 46846 50816 93692 187384 374768 749536 1499072 2998144 140887273 281774546 563549092 1127098184 2254196368 4508392736 8312349107 9016785472 16624698214 18033570944 33249396428 55932247381 66498792856 111864494762 132997585712 223728989524 265995171424 447457979048 531990342848 894915958096 1063980685696 1789831916192 3300002595479 3579663832384 6600005190958 7159327664768 13200010381916 26400020763832 52800041527664 105600083055328 211200166110656 422400332221312