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321424333242112 = 2847107992473759
BaseRepresentation
bin100100100010101010110111…
…1001101000111111100000000
31120011001212101102200122221001
41021011111233031013330000
5314112204013302221422
63055340144502541344
7124463066421352612
oct11105255715077400
91504055342618831
10321424333242112
11934633266667a1
1230072232a37854
1310a47252658419
145953040c82db2
152725eb7c1e227
hex124556f347f00

321424333242112 has 72 divisors (see below), whose sum is σ = 655304961024000. Its totient is φ = 157278129748992.

The previous prime is 321424333242107. The next prime is 321424333242161. The reversal of 321424333242112 is 211242333424123.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 128696689 + ... + 131170447.

It is an arithmetic number, because the mean of its divisors is an integer number (9101457792000).

Almost surely, 2321424333242112 is an apocalyptic number.

321424333242112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321424333242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327652480512000).

321424333242112 is an abundant number, since it is smaller than the sum of its proper divisors (333880627781888).

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

321424333242112 is a wasteful number, since it uses less digits than its factorization.

321424333242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484621 (or 2484607 counting only the distinct ones).

The product of its digits is 165888, while the sum is 37.

Adding to 321424333242112 its reverse (211242333424123), we get a palindrome (532666666666235).

The spelling of 321424333242112 in words is "three hundred twenty-one trillion, four hundred twenty-four billion, three hundred thirty-three million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 1504 3008 6016 10799 12032 21598 43196 86392 172784 345568 507553 691136 1015106 1382272 2030212 2473759 2764544 4060424 4947518 8120848 9895036 16241696 19790072 32483392 39580144 64966784 79160288 116266673 129933568 158320576 232533346 316641152 465066692 633282304 930133384 1860266768 3720533536 7441067072 14882134144 26714123441 29764268288 53428246882 106856493764 213712987528 427425975056 854851950112 1255563801727 1709703900224 2511127603454 3419407800448 5022255206908 6838815600896 10044510413816 20089020827632 40178041655264 80356083310528 160712166621056 321424333242112