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304432121412 = 22351723181777
BaseRepresentation
bin1000110111000011001…
…00011000011001000100
31002002210101202010100000
410123201210120121010
514441434110341122
6351504300521300
730665053223166
oct4334144303104
91062711663300
10304432121412
11108121aa5761
124b001850230
132292812a363
1410a3da1c936
157dbb8400ac
hex46e1918644

304432121412 has 72 divisors (see below), whose sum is σ = 798505673056. Its totient is φ = 101417920128.

The previous prime is 304432121381. The next prime is 304432121419. The reversal of 304432121412 is 214121234403.

304432121412 is a `hidden beast` number, since 3 + 0 + 4 + 432 + 1 + 214 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (304432121419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1583868 + ... + 1765644.

Almost surely, 2304432121412 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 304432121412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399252836528).

304432121412 is an abundant number, since it is smaller than the sum of its proper divisors (494073551644).

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

304432121412 is a wasteful number, since it uses less digits than its factorization.

304432121412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183519 (or 183505 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 304432121412 its reverse (214121234403), we get a palindrome (518553355815).

The spelling of 304432121412 in words is "three hundred four billion, four hundred thirty-two million, one hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1723 3446 5169 6892 10338 15507 20676 31014 46521 62028 93042 139563 181777 186084 279126 363554 418689 545331 558252 727108 837378 1090662 1635993 1674756 2181324 3271986 4907979 6543972 9815958 14723937 19631916 29447874 44171811 58895748 88343622 176687244 313201771 626403542 939605313 1252807084 1879210626 2818815939 3758421252 5637631878 8456447817 11275263756 16912895634 25369343451 33825791268 50738686902 76108030353 101477373804 152216060706 304432121412