Search a number
-
+
431912129329 = 291131973671823
BaseRepresentation
bin1100100100011111111…
…10000001001100110001
31112021211200212111200201
412102033332001030301
524034024001114304
6530230115515201
743130120344642
oct6221776011461
91467750774621
10431912129329
1115719a1564aa
126b85a5b8b01
1331962bc2ac5
1416c945516c9
15b37d3293a4
hex648ff81331

431912129329 has 32 divisors (see below), whose sum is σ = 454531461120. Its totient is φ = 409884582912.

The previous prime is 431912129281. The next prime is 431912129381. The reversal of 431912129329 is 923921219134.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-431912129329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431912129629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236922912 + ... + 236924734.

It is an arithmetic number, because the mean of its divisors is an integer number (14204108160).

Almost surely, 2431912129329 is an apocalyptic number.

It is an amenable number.

431912129329 is a deficient number, since it is larger than the sum of its proper divisors (22619331791).

431912129329 is a wasteful number, since it uses less digits than its factorization.

431912129329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529.

The product of its digits is 209952, while the sum is 46.

The spelling of 431912129329 in words is "four hundred thirty-one billion, nine hundred twelve million, one hundred twenty-nine thousand, three hundred twenty-nine".

Divisors: 1 29 113 197 367 1823 3277 5713 10643 22261 41471 52867 72299 205999 359131 645569 669041 1202659 2096671 5973971 8169787 10414799 19402189 40581803 75601633 131801077 236923823 1176872287 2192447357 3822231233 14893521701 431912129329