Search a number
-
+
121431004443 = 3471937304643
BaseRepresentation
bin111000100010111011…
…0100001010100011011
3102121102201212011120000
41301011312201110123
53442142314120233
6131441251504043
711526113336010
oct1610566412433
9377381764500
10121431004443
11475536aaa21
121b64abb8023
13b5b2800068
145c3d409707
15325a921d13
hex1c45da151b

121431004443 has 80 divisors (see below), whose sum is σ = 224120497920. Its totient is φ = 63960197184.

The previous prime is 121431004433. The next prime is 121431004451. The reversal of 121431004443 is 344400134121.

121431004443 is a `hidden beast` number, since 1 + 214 + 3 + 1 + 0 + 0 + 4 + 443 = 666.

It is not a de Polignac number, because 121431004443 - 212 = 121431000347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121431004433) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 246280 + ... + 550922.

It is an arithmetic number, because the mean of its divisors is an integer number (2801506224).

Almost surely, 2121431004443 is an apocalyptic number.

121431004443 is a deficient number, since it is larger than the sum of its proper divisors (102689493477).

121431004443 is a wasteful number, since it uses less digits than its factorization.

121431004443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304718 (or 304709 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 121431004443 its reverse (344400134121), we get a palindrome (465831138564).

The spelling of 121431004443 in words is "one hundred twenty-one billion, four hundred thirty-one million, four thousand, four hundred forty-three".

Divisors: 1 3 7 9 19 21 27 37 57 63 81 111 133 171 189 259 333 399 513 567 703 777 999 1197 1539 2109 2331 2997 3591 4921 6327 6993 10773 14763 18981 20979 44289 56943 132867 304643 398601 913929 2132501 2741787 5788217 6397503 8225361 11271791 17364651 19192509 24676083 33815373 40517519 52093953 57577527 78902537 101446119 121552557 156281859 172732581 214164029 236707611 304338357 364657671 468845577 642492087 710122833 913015071 1093973013 1499148203 1927476261 2130368499 3281919039 4497444609 5782428783 6391105497 13492333827 17347286349 40477001481 121431004443