Search a number
-
+
46004342241 = 311132910393559
BaseRepresentation
bin101010110110000100…
…101000110111100001
311101202010021201121110
4222312010220313201
51223204102422431
633044544413533
73216013312524
oct526604506741
9141663251543
1046004342241
1118568285260
128aba9172a9
13445200b8b0
142325bcabbb
1512e3bcb346
hexab6128de1

46004342241 has 64 divisors (see below), whose sum is σ = 74640384000. Its totient is φ = 24818330880.

The previous prime is 46004342233. The next prime is 46004342269. The reversal of 46004342241 is 14224340064.

It is not a de Polignac number, because 46004342241 - 23 = 46004342233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 46004342199 and 46004342208.

It is not an unprimeable number, because it can be changed into a prime (46004342341) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12924420 + ... + 12927978.

It is an arithmetic number, because the mean of its divisors is an integer number (1166256000).

Almost surely, 246004342241 is an apocalyptic number.

It is an amenable number.

46004342241 is a deficient number, since it is larger than the sum of its proper divisors (28636041759).

46004342241 is a wasteful number, since it uses less digits than its factorization.

46004342241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654.

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 46004342241 in words is "forty-six billion, four million, three hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 11 13 29 33 39 87 143 319 377 429 957 1039 1131 3117 3559 4147 10677 11429 12441 13507 30131 34287 39149 40521 46267 90393 103211 117447 138801 148577 309633 331441 391703 445731 508937 994323 1135321 1175109 1341743 1526811 3405963 3697801 4025229 4308733 11093403 12926199 14759173 40675811 44277519 48071413 107236229 122027433 144214239 321708687 528785543 1179598519 1394070977 1586356629 3538795557 4182212931 15334780747 46004342241