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231433023016 = 231337157383081
BaseRepresentation
bin1101011110001001111…
…0111010111000101000
3211010100222001200220001
43113202132322320220
512242433323214031
6254152512512344
722502061144346
oct3274236727050
9733328050801
10231433023016
118a1719a9678
1238a2a54b6b4
1318a93555990
14b2b6996996
156047cb7861
hex35e27bae28

231433023016 has 64 divisors (see below), whose sum is σ = 483005108880. Its totient is φ = 103266109440.

The previous prime is 231433023007. The next prime is 231433023091. The reversal of 231433023016 is 610320334132.

It can be written as a sum of positive squares in 8 ways, for example, as 111252934116 + 120180088900 = 333546^2 + 346670^2 .

It is a super-2 number, since 2×2314330230162 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412596 + ... + 795676.

Almost surely, 2231433023016 is an apocalyptic number.

231433023016 is a gapful number since it is divisible by the number (26) 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 231433023016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241502554440).

231433023016 is an abundant number, since it is smaller than the sum of its proper divisors (251572085864).

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

231433023016 is a wasteful number, since it uses less digits than its factorization.

231433023016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383294 (or 383290 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 231433023016 its reverse (610320334132), we get a palindrome (841753357148).

The spelling of 231433023016 in words is "two hundred thirty-one billion, four hundred thirty-three million, twenty-three thousand, sixteen".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 157 296 314 481 628 962 1256 1924 2041 3848 4082 5809 8164 11618 16328 23236 46472 75517 151034 302068 383081 604136 766162 1532324 3064648 4980053 9960106 14173997 19920212 28347994 39840424 56695988 60143717 113391976 120287434 184261961 240574868 368523922 481149736 737047844 781868321 1474095688 1563736642 2225317529 3127473284 4450635058 6254946568 8901270116 17802540232 28929127877 57858255754 115716511508 231433023016