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11424000030 = 2353119363647
BaseRepresentation
bin10101010001110110…
…00110100000011110
31002111011021022221020
422220323012200132
5141344021000110
65125331545010
7553045253352
oct125073064036
932434238836
1011424000030
114932606343
122269a5b166
131100a1cc41
147a5321462
1546cde3d70
hex2a8ec681e

11424000030 has 64 divisors (see below), whose sum is σ = 28449128448. Its totient is φ = 2932807680.

The previous prime is 11424000013. The next prime is 11424000031. The reversal of 11424000030 is 3000042411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 11423999973 and 11424000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11424000031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147667 + ... + 211313.

It is an arithmetic number, because the mean of its divisors is an integer number (444517632).

Almost surely, 211424000030 is an apocalyptic number.

11424000030 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 11424000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224564224).

11424000030 is an abundant number, since it is smaller than the sum of its proper divisors (17025128418).

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

11424000030 is a wasteful number, since it uses less digits than its factorization.

11424000030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63881.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 11424000030 its reverse (3000042411), we get a palindrome (14424042441).

The spelling of 11424000030 in words is "eleven billion, four hundred twenty-four million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 193 310 386 465 579 930 965 1158 1930 2895 5790 5983 11966 17949 29915 35898 59830 63647 89745 127294 179490 190941 318235 381882 636470 954705 1909410 1973057 3946114 5919171 9865285 11838342 12283871 19730570 24567742 29595855 36851613 59191710 61419355 73703226 122838710 184258065 368516130 380800001 761600002 1142400003 1904000005 2284800006 3808000010 5712000015 11424000030