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234435424343016 = 233133732014465391
BaseRepresentation
bin110101010011011111000000…
…001100001101001111101000
31010202001210210210201222002210
4311103133000030031033220
5221211442222112434031
62150334051441325120
7100244254234614141
oct6523370014151750
91122053723658083
10234435424343016
1168775561360606
12223631a53367a0
13a0a721cc412b0
1441c6a410bcac8
151c1830b66d746
hexd537c030d3e8

234435424343016 has 64 divisors (see below), whose sum is σ = 632864447550720. Its totient is φ = 71940588007680.

The previous prime is 234435424343009. The next prime is 234435424343033. The reversal of 234435424343016 is 610343424534432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007116320 + ... + 1007349071.

It is an arithmetic number, because the mean of its divisors is an integer number (9888506992980).

Almost surely, 2234435424343016 is an apocalyptic number.

234435424343016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

234435424343016 is an abundant number, since it is smaller than the sum of its proper divisors (398429023207704).

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

234435424343016 is a wasteful number, since it uses less digits than its factorization.

234435424343016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014465786 (or 2014465782 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 48.

Adding to 234435424343016 its reverse (610343424534432), we get a palindrome (844778848877448).

The spelling of 234435424343016 in words is "two hundred thirty-four trillion, four hundred thirty-five billion, four hundred twenty-four million, three hundred forty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 373 746 1119 1492 2238 2984 4476 4849 8952 9698 14547 19396 29094 38792 58188 116376 2014465391 4028930782 6043396173 8057861564 12086792346 16115723128 24173584692 26188050083 48347169384 52376100166 78564150249 104752200332 157128300498 209504400664 314256600996 628513201992 751395590843 1502791181686 2254186772529 3005582363372 4508373545058 6011164726744 9016747090116 9768142680959 18033494180232 19536285361918 29304428042877 39072570723836 58608856085754 78145141447672 117217712171508 234435424343016