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34260041216 = 29195366449
BaseRepresentation
bin11111111010000011…
…101011111000000000
310021102122022102022102
4133322003223320000
51030131032304331
623423331325532
72321665355042
oct377203537000
9107378272272
1034260041216
111359099a055
1267817508a8
1332ccb3374b
14193012da92
15d57b184cb
hex7fa0ebe00

34260041216 has 80 divisors (see below), whose sum is σ = 73416618000. Its totient is φ = 15922003968.

The previous prime is 34260041213. The next prime is 34260041227. The reversal of 34260041216 is 61214006243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34260041213) 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, 482360 + ... + 548808.

It is an arithmetic number, because the mean of its divisors is an integer number (917707725).

Almost surely, 234260041216 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 34260041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36708309000).

34260041216 is an abundant number, since it is smaller than the sum of its proper divisors (39156576784).

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

34260041216 is an equidigital number, since it uses as much as digits as its factorization.

34260041216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66539 (or 66523 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 34260041216 its reverse (61214006243), we get a palindrome (95474047459).

The spelling of 34260041216 in words is "thirty-four billion, two hundred sixty million, forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 128 152 212 256 304 424 512 608 848 1007 1216 1696 2014 2432 3392 4028 4864 6784 8056 9728 13568 16112 27136 32224 64448 66449 128896 132898 257792 265796 515584 531592 1063184 1262531 2126368 2525062 3521797 4252736 5050124 7043594 8505472 10100248 14087188 17010944 20200496 28174376 34021888 40400992 56348752 66914143 80801984 112697504 133828286 161603968 225395008 267656572 323207936 450790016 535313144 646415872 901580032 1070626288 1803160064 2141252576 4282505152 8565010304 17130020608 34260041216