Search a number
-
+
34033333333337 = 133805368797433
BaseRepresentation
bin1111011110100000000001…
…01111100110110101011001
311110111112222111221020111122
413233100000233212311121
513430100231313131322
6200214410354135025
710111553504144222
oct757200057466531
9143445874836448
1034033333333337
11a931501468398
123997a7a581475
1315cb439083360
1485931770a249
153e0442347442
hex1ef400be6d59

34033333333337 has 8 divisors (see below), whose sum is σ = 36652245748104. Its totient is φ = 31414558589568.

The previous prime is 34033333333309. The next prime is 34033333333361. The reversal of 34033333333337 is 73333333333043.

It can be written as a sum of positive squares in 4 ways, for example, as 1382649856 + 34031950683481 = 37184^2 + 5833691^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34033333333337 - 230 = 34032259591513 is a prime.

It is a super-4 number, since 4×340333333333374 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34033333339337) 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, 33904028 + ... + 34893405.

It is an arithmetic number, because the mean of its divisors is an integer number (4581530718513).

Almost surely, 234033333333337 is an apocalyptic number.

It is an amenable number.

34033333333337 is a deficient number, since it is larger than the sum of its proper divisors (2618912414767).

34033333333337 is a wasteful number, since it uses less digits than its factorization.

34033333333337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68835499.

The product of its (nonzero) digits is 4960116, while the sum is 44.

The spelling of 34033333333337 in words is "thirty-four trillion, thirty-three billion, three hundred thirty-three million, three hundred thirty-three thousand, three hundred thirty-seven".

Divisors: 1 13 38053 494689 68797433 894366629 2617948717949 34033333333337