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1112344992 = 2532113111129
BaseRepresentation
bin100001001001101…
…0000100110100000
32212112001222110200
41002103100212200
54234230014432
6302213225200
736364530213
oct10223204640
92775058420
101112344992
11520987290
12270632200
131495b3a05
14a7a3377a
15679c3a7c
hex424d09a0

1112344992 has 144 divisors (see below), whose sum is σ = 3464959680. Its totient is φ = 335692800.

The previous prime is 1112344991. The next prime is 1112344997. The reversal of 1112344992 is 2994432111.

1112344992 is a `hidden beast` number, since 1 + 1 + 123 + 449 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11123449922 = 2474622762454960128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1112344991) 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, 984684 + ... + 985812.

It is an arithmetic number, because the mean of its divisors is an integer number (24062220).

Almost surely, 21112344992 is an apocalyptic number.

1112344992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112344992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732479840).

1112344992 is an abundant number, since it is smaller than the sum of its proper divisors (2352614688).

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

1112344992 is a wasteful number, since it uses less digits than its factorization.

1112344992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1456 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1112344992 is about 33351.8364112083. The cubic root of 1112344992 is about 1036.1274223001.

The spelling of 1112344992 in words is "one billion, one hundred twelve million, three hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 311 352 396 528 622 792 933 1056 1129 1244 1584 1866 2258 2488 2799 3168 3387 3421 3732 4516 4976 5598 6774 6842 7464 9032 9952 10161 10263 11196 12419 13548 13684 14928 18064 20322 20526 22392 24838 27096 27368 29856 30789 36128 37257 40644 41052 44784 49676 54192 54736 61578 74514 81288 82104 89568 99352 108384 109472 111771 123156 149028 162576 164208 198704 223542 246312 298056 325152 328416 351119 397408 447084 492624 596112 702238 894168 985248 1053357 1192224 1404476 1788336 2106714 2808952 3160071 3576672 3862309 4213428 5617904 6320142 7724618 8426856 11235808 11586927 12640284 15449236 16853712 23173854 25280568 30898472 33707424 34760781 46347708 50561136 61796944 69521562 92695416 101122272 123593888 139043124 185390832 278086248 370781664 556172496 1112344992