Search a number
-
+
12430404441 = 3271322322207
BaseRepresentation
bin10111001001110100…
…01110101101011001
31012002021222222020200
423210322032231121
5200424140420231
65413242412413
7620015460120
oct134472165531
935067888220
1012430404441
1152a9703924
1224aab01109
131231390200
1485cc58ab7
154cb43cbe6
hex2e4e8eb59

12430404441 has 108 divisors (see below), whose sum is σ = 23238528768. Its totient is φ = 6268781376.

The previous prime is 12430404431. The next prime is 12430404443. The reversal of 12430404441 is 14440403421.

It is not a de Polignac number, because 12430404441 - 29 = 12430403929 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430404443) 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 107 ways as a sum of consecutive naturals, for example, 5631160 + ... + 5633366.

Almost surely, 212430404441 is an apocalyptic number.

It is an amenable number.

12430404441 is a deficient number, since it is larger than the sum of its proper divisors (10808124327).

12430404441 is a wasteful number, since it uses less digits than its factorization.

12430404441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12430404441 its reverse (14440403421), we get a palindrome (26870807862).

The spelling of 12430404441 in words is "twelve billion, four hundred thirty million, four hundred four thousand, four hundred forty-one".

Divisors: 1 3 7 9 13 21 23 39 63 69 91 117 161 169 207 273 299 483 507 529 819 897 1183 1449 1521 1587 2093 2207 2691 3549 3703 3887 4761 6279 6621 6877 10647 11109 11661 15449 18837 19863 20631 27209 28691 33327 34983 46347 48139 50761 61893 81627 86073 89401 139041 144417 152283 200837 244881 258219 268203 355327 372983 433251 456849 602511 625807 659893 804609 1065981 1118949 1167503 1807533 1877421 1979679 2610881 3197943 3356847 3502509 4619251 5632263 5939037 7832643 8172521 8578609 10507527 13857753 15177539 23497929 24517563 25735827 41573259 45532617 60050263 73552689 77207481 106242773 136597851 180150789 197308007 318728319 540452367 591924021 956184957 1381156049 1775772063 4143468147 12430404441