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334243342433 = 71121327013331
BaseRepresentation
bin1001101110100100111…
…01001010100001100001
31011221201222211001122002
410313102131022201201
520434012243424213
6413314350453345
733101601351050
oct4672235124141
91157658731562
10334243342433
1111982a720300
1254941504255
1325699366700
141226ad66397
158a63ac9658
hex4dd274a861

334243342433 has 72 divisors (see below), whose sum is σ = 455443829568. Its totient is φ = 239999760000.

The previous prime is 334243342417. The next prime is 334243342463.

334243342433 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 334243342433 - 24 = 334243342417 is a prime.

It is a super-2 number, since 2×3342433424332 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334243342463) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100341578 + ... + 100344908.

It is an arithmetic number, because the mean of its divisors is an integer number (6325608744).

Almost surely, 2334243342433 is an apocalyptic number.

It is an amenable number.

334243342433 is a deficient number, since it is larger than the sum of its proper divisors (121200487135).

334243342433 is a wasteful number, since it uses less digits than its factorization.

334243342433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4063 counting only the distinct ones).

The product of its digits is 746496, while the sum is 38.

It can be divided in two parts, 334243 and 342433, that added together give a palindrome (676676).

The spelling of 334243342433 in words is "three hundred thirty-four billion, two hundred forty-three million, three hundred forty-two thousand, four hundred thirty-three".

Divisors: 1 7 11 13 77 91 121 143 169 701 847 1001 1183 1573 1859 3331 4907 7711 9113 11011 13013 20449 23317 36641 43303 53977 63791 84821 100243 118469 143143 256487 303121 403051 476333 562939 593747 701701 829283 1102673 1303159 2335031 2821357 3334331 3940573 5239663 6192329 7718711 9122113 14334749 16345217 25685341 30355403 36677641 43346303 68115619 100343243 179797387 212487821 282538751 333909433 394620239 476809333 1977771257 2337366031 2762341673 3673003763 4340822629 25711026341 30385758403 47749048919 334243342433