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234144321440 = 2557753188753
BaseRepresentation
bin1101101000010000010…
…1101100111110100000
3211101100220211221010012
43122010011230332200
512314011421241230
6255321525224052
722626212615441
oct3320405547640
9741326757105
10234144321440
1190333402277
1239466562028
1319106196c83
14b492acb2c8
156155d30395
hex368416cfa0

234144321440 has 48 divisors (see below), whose sum is σ = 553240239048. Its totient is φ = 93645152256.

The previous prime is 234144321421. The next prime is 234144321449. The reversal of 234144321440 is 44123441432.

It can be written as a sum of positive squares in 4 ways, for example, as 233007013264 + 1137308176 = 482708^2 + 33724^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 234144321397 and 234144321406.

It is not an unprimeable number, because it can be changed into a prime (234144321449) 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 7 ways as a sum of consecutive naturals, for example, 1146104 + ... + 1334856.

Almost surely, 2234144321440 is an apocalyptic number.

234144321440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234144321440 is an abundant number, since it is smaller than the sum of its proper divisors (319095917608).

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

234144321440 is a wasteful number, since it uses less digits than its factorization.

234144321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196521 (or 196513 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 234144321440 its reverse (44123441432), we get a palindrome (278267762872).

The spelling of 234144321440 in words is "two hundred thirty-four billion, one hundred forty-four million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 7753 15506 31012 38765 62024 77530 124048 155060 188753 248096 310120 377506 620240 755012 943765 1240480 1510024 1887530 3020048 3775060 6040096 7550120 15100240 30200480 1463402009 2926804018 5853608036 7317010045 11707216072 14634020090 23414432144 29268040180 46828864288 58536080360 117072160720 234144321440