Search a number
-
+
4341932075329 = 17291031312232927
BaseRepresentation
bin111111001011101111010…
…100011010100101000001
3120101002021201012212021021
4333023233110122211001
51032114234102402304
613122353413025441
7625460060460112
oct77135724324501
916332251185237
104341932075329
11142444850a782
125a15b4325281
1325659a060c24
141102174a6209
1577e24a97a54
hex3f2ef51a941

4341932075329 has 64 divisors (see below), whose sum is σ = 4862057840640. Its totient is φ = 3858769474560.

The previous prime is 4341932075321. The next prime is 4341932075347. The reversal of 4341932075329 is 9235702391434.

4341932075329 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4341932075329 - 23 = 4341932075321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4341932075321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1483405464 + ... + 1483408390.

It is an arithmetic number, because the mean of its divisors is an integer number (75969653760).

Almost surely, 24341932075329 is an apocalyptic number.

It is an amenable number.

4341932075329 is a deficient number, since it is larger than the sum of its proper divisors (520125765311).

4341932075329 is a wasteful number, since it uses less digits than its factorization.

4341932075329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430.

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 4341932075329 in words is "four trillion, three hundred forty-one billion, nine hundred thirty-two million, seventy-five thousand, three hundred twenty-nine".

Divisors: 1 17 29 103 131 223 493 1751 2227 2927 2987 3791 3799 6467 13493 22969 29213 49759 50779 64583 84883 109939 229381 301481 383437 390473 391297 496621 652721 666101 847177 1443011 3008939 5125177 6518429 6652049 8742949 11096257 11119673 11323717 14402009 18928909 39494011 51151963 67230263 85506451 87259231 148630133 189034441 321791453 671398187 1142914471 1145326319 1453609667 1483406927 1949677627 2479687079 8807164453 19470547423 33144519659 42154680343 149721795701 255407769137 4341932075329