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11430433014 = 23711133751437
BaseRepresentation
bin10101010010100111…
…01001000011110110
31002111121101011022220
422221103221003312
5141402142324024
65130121503210
7553154035410
oct125123510366
932447334286
1011430433014
1149361aa560
122270041b06
131102163040
147a61179b0
1546d764e79
hex2a94e90f6

11430433014 has 128 divisors (see below), whose sum is σ = 31524498432. Its totient is φ = 2666442240.

The previous prime is 11430433013. The next prime is 11430433019. The reversal of 11430433014 is 41033403411.

11430433014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114304330142 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11430433013) 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, 196504 + ... + 247940.

It is an arithmetic number, because the mean of its divisors is an integer number (246285144).

Almost surely, 211430433014 is an apocalyptic number.

11430433014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11430433014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15762249216).

11430433014 is an abundant number, since it is smaller than the sum of its proper divisors (20094065418).

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

11430433014 is a wasteful number, since it uses less digits than its factorization.

11430433014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51510.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11430433014 its reverse (41033403411), we get a palindrome (52463836425).

It can be divided in two parts, 11430 and 433014, that added together give a palindrome (444444).

The spelling of 11430433014 in words is "eleven billion, four hundred thirty million, four hundred thirty-three thousand, fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 51437 74074 102874 111111 154311 222222 308622 360059 565807 668681 720118 1080177 1131614 1337362 1697421 1903169 2006043 2160354 3394842 3806338 3960649 4012086 4680767 5709507 7355491 7921298 9361534 11419014 11881947 13322183 14042301 14710982 20934859 22066473 23763894 24741197 26644366 28084602 39966549 41869718 44132946 49482394 51488437 62804577 74223591 79933098 102976874 125609154 146544013 148447182 154465311 173188379 272153167 293088026 308930622 346376758 439632039 519565137 544306334 816459501 879264078 1039130274 1632919002 1905072169 3810144338 5715216507 11430433014