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11424102032 = 247192594789
BaseRepresentation
bin10101010001110110…
…11111011010010000
31002111011110111212002
422220323133122100
5141344032231112
65125334053132
7553046156630
oct125073373220
932434414762
1011424102032
114932675a42
122269aaa1a8
131100a574b5
147a534a6c0
1546ce141c2
hex2a8edf690

11424102032 has 120 divisors (see below), whose sum is σ = 27155851200. Its totient is φ = 4558788864.

The previous prime is 11424102031. The next prime is 11424102061. The reversal of 11424102032 is 23020142411.

It is a junction number, because it is equal to n+sod(n) for n = 11424101995 and 11424102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11424102031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2383094 + ... + 2387882.

It is an arithmetic number, because the mean of its divisors is an integer number (226298760).

Almost surely, 211424102032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11424102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13577925600).

11424102032 is an abundant number, since it is smaller than the sum of its proper divisors (15731749168).

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

11424102032 is a wasteful number, since it uses less digits than its factorization.

11424102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11424102032 its reverse (23020142411), we get a palindrome (34444244443).

The spelling of 11424102032 in words is "eleven billion, four hundred twenty-four million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 59 76 112 118 133 152 236 266 304 361 413 472 532 722 826 944 1064 1121 1444 1652 2128 2242 2527 2888 3304 4484 4789 5054 5776 6608 7847 8968 9578 10108 15694 17936 19156 20216 21299 31388 33523 38312 40432 42598 62776 67046 76624 85196 90991 125552 134092 149093 170392 181982 268184 282551 298186 340784 363964 536368 565102 596372 636937 727928 1130204 1192744 1273874 1455856 1728829 1977857 2260408 2385488 2547748 3457658 3955714 4520816 5095496 5368469 6915316 7911428 10190992 10736938 12101803 13830632 15822856 21473876 24203606 27661264 31645712 37579283 42947752 48407212 75158566 85895504 96814424 102000911 150317132 193628848 204001822 300634264 408003644 601268528 714006377 816007288 1428012754 1632014576 2856025508 5712051016 11424102032