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11342144430 = 23251956911657
BaseRepresentation
bin10101001000000101…
…10110001110101110
31002021110020122011100
422210002312032232
5141212042110210
65113245303530
7551032431321
oct124402661656
932243218140
1011342144430
1148a0387a91
122246564ba6
1310b9a90086
147984d47b8
15465b255c0
hex2a40b63ae

11342144430 has 96 divisors (see below), whose sum is σ = 31098880800. Its totient is φ = 2860102656.

The previous prime is 11342144417. The next prime is 11342144477. The reversal of 11342144430 is 3444124311.

11342144430 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 214 + 443 + 0 = 666.

It is a super-3 number, since 3×113421444303 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11342144394 and 11342144403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967162 + ... + 978818.

It is an arithmetic number, because the mean of its divisors is an integer number (323946675).

Almost surely, 211342144430 is an apocalyptic number.

11342144430 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 11342144430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549440400).

11342144430 is an abundant number, since it is smaller than the sum of its proper divisors (19756736370).

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

11342144430 is a wasteful number, since it uses less digits than its factorization.

11342144430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12258 (or 12255 counting only the distinct ones).

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

Adding to 11342144430 its reverse (3444124311), we get a palindrome (14786268741).

The spelling of 11342144430 in words is "eleven billion, three hundred forty-two million, one hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 569 570 855 1138 1707 1710 2845 3414 5121 5690 8535 10242 10811 11657 17070 21622 23314 25605 32433 34971 51210 54055 58285 64866 69942 97299 104913 108110 116570 162165 174855 194598 209826 221483 324330 349710 442966 486495 524565 664449 972990 1049130 1107415 1328898 1993347 2214830 3322245 3986694 6632833 6644490 9966735 13265666 19898499 19933470 33164165 39796998 59695497 66328330 99492495 119390994 126023827 198984990 252047654 298477485 378071481 596954970 630119135 756142962 1134214443 1260238270 1890357405 2268428886 3780714810 5671072215 11342144430