Search a number
-
+
12341302440144 = 243607423575729
BaseRepresentation
bin1011001110010110111011…
…1100101011000011010000
31121200211001120211111000220
42303211232330223003100
53104144441411041034
642125303245513040
72412425656621266
oct263455674530320
947624046744026
1012341302440144
113a28a0a543757
1214739b1272780
136b6a1a381592
14309472286436
1516605b5d9749
hexb396ef2b0d0

12341302440144 has 40 divisors (see below), whose sum is σ = 31934221436160. Its totient is φ = 4106990258688.

The previous prime is 12341302440127. The next prime is 12341302440209. The reversal of 12341302440144 is 44104420314321.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 211758729 + ... + 211817000.

It is an arithmetic number, because the mean of its divisors is an integer number (798355535904).

Almost surely, 212341302440144 is an apocalyptic number.

It is an amenable number.

12341302440144 is an abundant number, since it is smaller than the sum of its proper divisors (19592918996016).

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

12341302440144 is a wasteful number, since it uses less digits than its factorization.

12341302440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423576347 (or 423576341 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 12341302440144 its reverse (44104420314321), we get a palindrome (56445722754465).

The spelling of 12341302440144 in words is "twelve trillion, three hundred forty-one billion, three hundred two million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 607 1214 1821 2428 3642 4856 7284 9712 14568 29136 423575729 847151458 1270727187 1694302916 2541454374 3388605832 5082908748 6777211664 10165817496 20331634992 257110467503 514220935006 771331402509 1028441870012 1542662805018 2056883740024 3085325610036 4113767480048 6170651220072 12341302440144