Search a number
-
+
10444412242329 = 3131914095023269
BaseRepresentation
bin1001011111111100011101…
…1110110100100110011001
31100222110212001021021221020
42113333013132310212121
52332110124013223304
634114032521433053
72125404162153342
oct227770736644631
940873761237836
1010444412242329
1133674a547541a
12120824463b789
135a9b999a74a0
142817258830c9
15131a3a8795d9
hex97fc77b4999

10444412242329 has 16 divisors (see below), whose sum is σ = 15786426062400. Its totient is φ = 6089050051776.

The previous prime is 10444412242289. The next prime is 10444412242331. The reversal of 10444412242329 is 92324221444401.

It is a happy number.

It is not a de Polignac number, because 10444412242329 - 239 = 9894656428441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10444412246329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7047510894 + ... + 7047512375.

It is an arithmetic number, because the mean of its divisors is an integer number (986651628900).

Almost surely, 210444412242329 is an apocalyptic number.

10444412242329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10444412242329 is a deficient number, since it is larger than the sum of its proper divisors (5342013820071).

10444412242329 is a wasteful number, since it uses less digits than its factorization.

10444412242329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14095023304.

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 10444412242329 in words is "ten trillion, four hundred forty-four billion, four hundred twelve million, two hundred forty-two thousand, three hundred twenty-nine".

Divisors: 1 3 13 19 39 57 247 741 14095023269 42285069807 183235302497 267805442111 549705907491 803416326333 3481470747443 10444412242329