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3033104322432 = 273431531119981
BaseRepresentation
bin101100001000110011000…
…110110000111110000000
3101201221222020220002122010
4230020303012300332000
5344143244201304212
610241220000012520
7432064103232462
oct54106306607600
911657866802563
103033104322432
11a6a372354138
1240ba04601140
131900360a4582
14a6b35742132
1553d70b6c03c
hex2c2331b0f80

3033104322432 has 128 divisors (see below), whose sum is σ = 8249501589120. Its totient is φ = 986869094400.

The previous prime is 3033104322403. The next prime is 3033104322439. The reversal of 3033104322432 is 2342234013303.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3033104322432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3033104322439) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25219882 + ... + 25339862.

It is an arithmetic number, because the mean of its divisors is an integer number (64449231165).

Almost surely, 23033104322432 is an apocalyptic number.

3033104322432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3033104322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124750794560).

3033104322432 is an abundant number, since it is smaller than the sum of its proper divisors (5216397266688).

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

3033104322432 is a wasteful number, since it uses less digits than its factorization.

3033104322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121572 (or 121560 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 3033104322432 its reverse (2342234013303), we get a palindrome (5375338335735).

The spelling of 3033104322432 in words is "three trillion, thirty-three billion, one hundred four million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 1531 2064 2752 3062 4128 4593 5504 6124 8256 9186 12248 16512 18372 24496 36744 48992 65833 73488 97984 119981 131666 146976 195968 197499 239962 263332 293952 359943 394998 479924 526664 587904 719886 789996 959848 1053328 1439772 1579992 1919696 2106656 2879544 3159984 3839392 4213312 5159183 5759088 6319968 7678784 8426624 10318366 11518176 12639936 15357568 15477549 20636732 23036352 25279872 30955098 41273464 46072704 61910196 82546928 123820392 165093856 183690911 247640784 330187712 367381822 495281568 551072733 660375424 734763644 990563136 1102145466 1469527288 1981126272 2204290932 2939054576 4408581864 5878109152 7898709173 8817163728 11756218304 15797418346 17634327456 23512436608 23696127519 31594836692 35268654912 47392255038 63189673384 70537309824 94784510076 126379346768 189569020152 252758693536 379138040304 505517387072 758276080608 1011034774144 1516552161216 3033104322432