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423203363302324 = 2211217210129956049
BaseRepresentation
bin110000000111001101011011…
…0001000110010101110110100
32001111102211212000221001011211
41200032122312020302232310
5420432230442001133244
64100024535142011204
7155066301601530433
oct14016326610625664
92044384760831154
10423203363302324
111129335a1771400
123b56b792116b04
131521aba13c7c67
14767121b41711a
1533dd756086934
hex180e6b6232bb4

423203363302324 has 108 divisors (see below), whose sum is σ = 873318730970700. Its totient is φ = 179256991232000.

The previous prime is 423203363302301. The next prime is 423203363302399.

423203363302324 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 92897019656100 + 330306343646224 = 9638310^2 + 18174332^2 .

It is a super-2 number, since 2×4232033633023242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 850549 + ... + 29105500.

It is an arithmetic number, because the mean of its divisors is an integer number (8086284546025).

Almost surely, 2423203363302324 is an apocalyptic number.

423203363302324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

423203363302324 is an abundant number, since it is smaller than the sum of its proper divisors (450115367668376).

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

423203363302324 is a wasteful number, since it uses less digits than its factorization.

423203363302324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29956210 (or 29956180 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 40.

The spelling of 423203363302324 in words is "four hundred twenty-three trillion, two hundred three billion, three hundred sixty-three million, three hundred two thousand, three hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 44 68 101 121 187 202 242 289 374 404 484 578 748 1111 1156 1717 2057 2222 3179 3434 4114 4444 6358 6868 8228 12221 12716 18887 24442 29189 34969 37774 48884 58378 69938 75548 116756 139876 207757 321079 415514 642158 831028 1284316 3531869 7063738 14127476 29956049 59912098 119824196 329516539 509252833 659033078 1018505666 1318066156 2037011332 3025560949 3624681929 5601781163 6051121898 7249363858 8657298161 11203562326 12102243796 14498727716 17314596322 22407124652 33281170439 34629192644 51434536133 61619592793 66562340878 95230279771 102869072266 123239185586 133124681756 190460559542 205738144532 246478371172 366092874829 380921119084 565779897463 732185749658 874387114261 1047533077481 1131559794926 1464371499316 1748774228522 2095066154962 2263119589852 3497548457044 4190132309924 6223578872093 9618258256871 12447157744186 19236516513742 24894315488372 38473033027484 105800840825581 211601681651162 423203363302324