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34041011104 = 254740955339
BaseRepresentation
bin11111101101000000…
…001001101110100000
310020212101011112111001
4133231000021232200
51024203444323404
623345505001344
72313365551222
oct375500115640
9106771145431
1034041011104
1113489299531
126720323254
133296645629
14190cdd6412
15d437a07a4
hex7ed009ba0

34041011104 has 48 divisors (see below), whose sum is σ = 68612745600. Its totient is φ = 16617337344.

The previous prime is 34041011071. The next prime is 34041011171. The reversal of 34041011104 is 40111014043.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 587467 + ... + 642805.

It is an arithmetic number, because the mean of its divisors is an integer number (1429432200).

Almost surely, 234041011104 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 34041011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34306372800).

34041011104 is an abundant number, since it is smaller than the sum of its proper divisors (34571734496).

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

34041011104 is a wasteful number, since it uses less digits than its factorization.

34041011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55805 (or 55797 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 34041011104 its reverse (40111014043), we get a palindrome (74152025147).

The spelling of 34041011104 in words is "thirty-four billion, forty-one million, eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 47 94 188 376 409 752 818 1504 1636 3272 6544 13088 19223 38446 55339 76892 110678 153784 221356 307568 442712 615136 885424 1770848 2600933 5201866 10403732 20807464 22633651 41614928 45267302 83229856 90534604 181069208 362138416 724276832 1063781597 2127563194 4255126388 8510252776 17020505552 34041011104