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11142324224 = 2137119157
BaseRepresentation
bin10100110000010001…
…00110000000000000
31001202112020201100222
422120020212000000
5140304413333344
65041350402212
7543055123163
oct123010460000
931675221328
1011142324224
1147a8608119
1221ab660368
131087569875
14779b5bada
154533045ee
hex298226000

11142324224 has 56 divisors (see below), whose sum is σ = 22598317008. Its totient is φ = 5492408320.

The previous prime is 11142324211. The next prime is 11142324239. The reversal of 11142324224 is 42242324111.

It is a super-2 number, since 2×111423242242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11142324193 and 11142324202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 572054 + ... + 591210.

Almost surely, 211142324224 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 11142324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11299158504).

11142324224 is an abundant number, since it is smaller than the sum of its proper divisors (11455992784).

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

11142324224 is an frugal number, since it uses more digits than its factorization.

11142324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19254 (or 19230 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

Adding to 11142324224 its reverse (42242324111), we get a palindrome (53384648335).

The spelling of 11142324224 in words is "eleven billion, one hundred forty-two million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 1024 1136 2048 2272 4096 4544 8192 9088 18176 19157 36352 38314 72704 76628 145408 153256 290816 306512 581632 613024 1226048 1360147 2452096 2720294 4904192 5440588 9808384 10881176 19616768 21762352 39233536 43524704 78467072 87049408 156934144 174098816 348197632 696395264 1392790528 2785581056 5571162112 11142324224