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231946138000 = 2453115973069
BaseRepresentation
bin1101100000000100010…
…0010011000110010000
3211011200201120122022201
43120001010103012100
512300011202404000
6254315442412544
722520561433403
oct3300104230620
9734621518281
10231946138000
118a405603545
1238b52361154
1318b45950405
14b324ba3d3a
156077d7196a
hex3601113190

231946138000 has 40 divisors (see below), whose sum is σ = 560845766520. Its totient is φ = 92778454400.

The previous prime is 231946137953. The next prime is 231946138009. The reversal of 231946138000 is 831649132.

It can be written as a sum of positive squares in 4 ways, for example, as 34013687184 + 197932450816 = 184428^2 + 444896^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (231946138009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57984535 + ... + 57988534.

It is an arithmetic number, because the mean of its divisors is an integer number (14021144163).

Almost surely, 2231946138000 is an apocalyptic number.

231946138000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231946138000 is an abundant number, since it is smaller than the sum of its proper divisors (328899628520).

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

231946138000 is a wasteful number, since it uses less digits than its factorization.

231946138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115973092 (or 115973076 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 231946138000 in words is "two hundred thirty-one billion, nine hundred forty-six million, one hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 115973069 231946138 463892276 579865345 927784552 1159730690 1855569104 2319461380 2899326725 4638922760 5798653450 9277845520 11597306900 14496633625 23194613800 28993267250 46389227600 57986534500 115973069000 231946138000