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234121412224 = 2772331121443
BaseRepresentation
bin1101101000001010111…
…0010011111010000000
3211101022022202000120201
43122002232103322000
512313440040142344
6255315350214544
722625514111640
oct3320256237200
9741268660521
10234121412224
1190321485237
123945a954454
131910150561b
14b48da46520
156153d074d4
hex3682b93e80

234121412224 has 64 divisors (see below), whose sum is σ = 535332507840. Its totient is φ = 99907024896.

The previous prime is 234121412201. The next prime is 234121412257. The reversal of 234121412224 is 422214121432.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 234121412192 and 234121412201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351954 + ... + 769489.

It is an arithmetic number, because the mean of its divisors is an integer number (8364570435).

Almost surely, 2234121412224 is an apocalyptic number.

It is an amenable number.

234121412224 is an abundant number, since it is smaller than the sum of its proper divisors (301211095616).

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

234121412224 is a wasteful number, since it uses less digits than its factorization.

234121412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121697 (or 1121685 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

Adding to 234121412224 its reverse (422214121432), we get a palindrome (656335533656).

The spelling of 234121412224 in words is "two hundred thirty-four billion, one hundred twenty-one million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 233 448 466 896 932 1631 1864 3262 3728 6524 7456 13048 14912 26096 29824 52192 104384 208768 1121443 2242886 4485772 7850101 8971544 15700202 17943088 31400404 35886176 62800808 71772352 125601616 143544704 251203232 261296219 502406464 522592438 1004812928 1045184876 1829073533 2090369752 3658147066 4180739504 7316294132 8361479008 14632588264 16722958016 29265176528 33445916032 58530353056 117060706112 234121412224