Search a number
-
+
1152353344144 = 24174236593177
BaseRepresentation
bin10000110001001101100…
…111001001101010010000
311002011102111010012121211
4100301031213021222100
5122340004424003034
62241214523225504
7146153250544642
oct20611547115220
94064374105554
101152353344144
1140478a46a362
12167400978294
1384888279712
143daba590892
151ee96c52d64
hex10c4d9c9a90

1152353344144 has 20 divisors (see below), whose sum is σ = 2364018993324. Its totient is φ = 542283926528.

The previous prime is 1152353344139. The next prime is 1152353344157. The reversal of 1152353344144 is 4414433532511.

It can be written as a sum of positive squares in 2 ways, for example, as 909391104400 + 242962239744 = 953620^2 + 492912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1152353344097 and 1152353344106.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2118296317 + ... + 2118296860.

Almost surely, 21152353344144 is an apocalyptic number.

It is an amenable number.

1152353344144 is an abundant number, since it is smaller than the sum of its proper divisors (1211665649180).

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

1152353344144 is a wasteful number, since it uses less digits than its factorization.

1152353344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236593202 (or 4236593196 counting only the distinct ones).

The product of its digits is 345600, while the sum is 40.

Adding to 1152353344144 its reverse (4414433532511), we get a palindrome (5566786876655).

The spelling of 1152353344144 in words is "one trillion, one hundred fifty-two billion, three hundred fifty-three million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 4236593177 8473186354 16946372708 33892745416 67785490832 72022084009 144044168018 288088336036 576176672072 1152353344144