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34112221504 = 267160112491
BaseRepresentation
bin11111110001001111…
…110011000101000000
310021001100011101210021
4133301033303011000
51024330212042004
623400531143224
72315222045554
oct376117630500
9107040141707
1034112221504
11135155069a9
126740144b14
1332a831906a
141918651864
15d49b69d54
hex7f13f3140

34112221504 has 56 divisors (see below), whose sum is σ = 68764562496. Its totient is φ = 16786560000.

The previous prime is 34112221499. The next prime is 34112221537. The reversal of 34112221504 is 40512221143.

It is a congruent number.

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, 2724699 + ... + 2737189.

It is an arithmetic number, because the mean of its divisors is an integer number (1227938616).

Almost surely, 234112221504 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 34112221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34382281248).

34112221504 is an abundant number, since it is smaller than the sum of its proper divisors (34652340992).

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

34112221504 is a wasteful number, since it uses less digits than its factorization.

34112221504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13175 (or 13165 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 34112221504 its reverse (40512221143), we get a palindrome (74624442647).

The spelling of 34112221504 in words is "thirty-four billion, one hundred twelve million, two hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 601 1136 1202 2272 2404 4544 4808 9616 12491 19232 24982 38464 42671 49964 85342 99928 170684 199856 341368 399712 682736 799424 886861 1365472 1773722 2730944 3547444 7094888 7507091 14189776 15014182 28379552 30028364 56759104 60056728 120113456 240226912 480453824 533003461 1066006922 2132013844 4264027688 8528055376 17056110752 34112221504