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11451413430 = 23251910096637
BaseRepresentation
bin10101010101000111…
…01011001110110110
31002120001212002001100
422222203223032312
5141423030212210
65132151310530
7553530256662
oct125243531666
932501762040
1011451413430
11494702a446
12227707b446
1311065ca7a2
147a8c198a2
1547050b5c0
hex2aa8eb3b6

11451413430 has 96 divisors (see below), whose sum is σ = 31376498400. Its totient is φ = 2889686016.

The previous prime is 11451413419. The next prime is 11451413459. The reversal of 11451413430 is 3431415411.

11451413430 is a `hidden beast` number, since 1 + 14 + 514 + 134 + 3 + 0 = 666.

It is a super-2 number, since 2×114514134302 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11451413394 and 11451413403.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1722072 + ... + 1728708.

It is an arithmetic number, because the mean of its divisors is an integer number (326838525).

Almost surely, 211451413430 is an apocalyptic number.

11451413430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11451413430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15688249200).

11451413430 is an abundant number, since it is smaller than the sum of its proper divisors (19925084970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11451413430 is a wasteful number, since it uses less digits than its factorization.

11451413430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 7675 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11451413430 its reverse (3431415411), we get a palindrome (14882828841).

The spelling of 11451413430 in words is "eleven billion, four hundred fifty-one million, four hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1009 1710 2018 3027 5045 6054 6637 9081 10090 13274 15135 18162 19171 19911 30270 33185 38342 39822 45405 57513 59733 66370 90810 95855 99555 115026 119466 126103 172539 191710 199110 252206 287565 298665 345078 378309 575130 597330 630515 756618 862695 1134927 1261030 1725390 1891545 2269854 3783090 5674635 6696733 11349270 13393466 20090199 33483665 40180398 60270597 66967330 100450995 120541194 127237927 200901990 254475854 301352985 381713781 602705970 636189635 763427562 1145141343 1272379270 1908568905 2290282686 3817137810 5725706715 11451413430