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34040041216 = 28232251359
BaseRepresentation
bin11111101100111100…
…011100111100000000
310020212022100021001021
4133230330130330000
51024203222304331
623345432115224
72313354401446
oct375474347400
9106768307037
1034040041216
1113488796875
12671bb35b14
13329639602c
14190cc22b96
15d4365d211
hex7ecf1cf00

34040041216 has 54 divisors (see below), whose sum is σ = 71030062880. Its totient is φ = 16279954944.

The previous prime is 34040041213. The next prime is 34040041253. The reversal of 34040041216 is 61214004043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34040041213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9745 + ... + 261103.

Almost surely, 234040041216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34040041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35515031440).

34040041216 is an abundant number, since it is smaller than the sum of its proper divisors (36990021664).

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

34040041216 is an equidigital number, since it uses as much as digits as its factorization.

34040041216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251421 (or 251384 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 34040041216 its reverse (61214004043), we get a palindrome (95254045259).

The spelling of 34040041216 in words is "thirty-four billion, forty million, forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 736 1058 1472 2116 2944 4232 5888 8464 16928 33856 67712 135424 251359 502718 1005436 2010872 4021744 5781257 8043488 11562514 16086976 23125028 32173952 46250056 64347904 92500112 132968911 185000224 265937822 370000448 531875644 740000896 1063751288 1480001792 2127502576 4255005152 8510010304 17020020608 34040041216