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11142312024 = 23329118713487
BaseRepresentation
bin10100110000010001…
…00011000001011000
31001202112020002122010
422120020203001120
5140304412441044
65041350225520
7543055042464
oct123010430130
931675202563
1011142312024
1147a85a9a38
1221ab6552a0
13108756414c
14779b574a4
15453300bb9
hex298223058

11142312024 has 64 divisors (see below), whose sum is σ = 28842739200. Its totient is φ = 3582744704.

The previous prime is 11142312019. The next prime is 11142312037. The reversal of 11142312024 is 42021324111.

It is a super-2 number, since 2×111423120242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819409 + ... + 832895.

It is an arithmetic number, because the mean of its divisors is an integer number (450667800).

Almost surely, 211142312024 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 11142312024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14421369600).

11142312024 is an abundant number, since it is smaller than the sum of its proper divisors (17700427176).

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

11142312024 is a wasteful number, since it uses less digits than its factorization.

11142312024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14712 (or 14708 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11142312024 its reverse (42021324111), we get a palindrome (53163636135).

The spelling of 11142312024 in words is "eleven billion, one hundred forty-two million, three hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1187 2374 3561 4748 7122 9496 13487 14244 26974 28488 34423 40461 53948 68846 80922 103269 107896 137692 161844 206538 275384 323688 391123 413076 782246 826152 1173369 1564492 2346738 3128984 4693476 9386952 16009069 32018138 48027207 64036276 96054414 128072552 192108828 384217656 464263001 928526002 1392789003 1857052004 2785578006 3714104008 5571156012 11142312024