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42330331212114 = 23112103946159833
BaseRepresentation
bin10011001111111110011000…
…10110101110100101010010
312112212201222120020010000010
421213333030112232211102
521022020004242241424
6230010141413335350
711626160032400121
oct1147771426564522
9175781876203003
1042330331212114
1112540213468800
1248b7a9a337556
131a8096b82b20a
14a64b284d1ab8
154d6198109229
hex267fcc5ae952

42330331212114 has 96 divisors (see below), whose sum is σ = 93971726739072. Its totient is φ = 12701280556800.

The previous prime is 42330331212089. The next prime is 42330331212131. The reversal of 42330331212114 is 41121213303324.

It is a super-3 number, since 3×423303312121143 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707444742 + ... + 707504574.

It is an arithmetic number, because the mean of its divisors is an integer number (978872153532).

Almost surely, 242330331212114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42330331212114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46985863369536).

42330331212114 is an abundant number, since it is smaller than the sum of its proper divisors (51641395526958).

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

42330331212114 is a wasteful number, since it uses less digits than its factorization.

42330331212114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69424 (or 69413 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 42330331212114 its reverse (41121213303324), we get a palindrome (83451544515438).

The spelling of 42330331212114 in words is "forty-two trillion, three hundred thirty billion, three hundred thirty-one million, two hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 103 121 206 242 309 363 618 726 1133 2266 3399 6798 9461 12463 18922 24926 28383 37389 56766 59833 74778 104071 119666 179499 208142 312213 358998 624426 658163 974483 1144781 1316326 1948966 1974489 2289562 2923449 3434343 3948978 5846898 6162799 6868686 7239793 10719313 12325598 14479586 18488397 21438626 21719379 32157939 36976794 43438758 64315878 67790789 117912443 135581578 203372367 235824886 353737329 406744734 566080013 707474658 745698679 1132160026 1491397358 1698240039 2237096037 3396480078 4474192074 6226880143 12453760286 18680640429 37361280858 58306241339 68495681573 116612482678 136991363146 174918724017 205487044719 349837448034 410974089438 641368654729 1282737309458 1924105964187 3848211928374 7055055202019 14110110404038 21165165606057 42330331212114