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1121143440 = 243541911149
BaseRepresentation
bin100001011010011…
…0100101010010000
32220010121222200010
41002310310222100
54244003042230
6303125554520
736532363524
oct10264645220
92803558603
101121143440
1152594672a
12273575a40
1314b3746b1
14a8c83d84
15686609b0
hex42d34a90

1121143440 has 80 divisors (see below), whose sum is σ = 3484152000. Its totient is φ = 298231296.

The previous prime is 1121143433. The next prime is 1121143447. The reversal of 1121143440 is 443411211.

It is an interprime number because it is at equal distance from previous prime (1121143433) and next prime (1121143447).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11211434402 = 2513925226110067200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1121143447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94986 + ... + 106134.

It is an arithmetic number, because the mean of its divisors is an integer number (43551900).

Almost surely, 21121143440 is an apocalyptic number.

1121143440 is a gapful number since it is divisible by the number (10) 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 1121143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742076000).

1121143440 is an abundant number, since it is smaller than the sum of its proper divisors (2363008560).

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

1121143440 is a wasteful number, since it uses less digits than its factorization.

1121143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11584 (or 11578 counting only the distinct ones).

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

The square root of 1121143440 is about 33483.4801058671. The cubic root of 1121143440 is about 1038.8521112083.

Adding to 1121143440 its reverse (443411211), we get a palindrome (1564554651).

The spelling of 1121143440 in words is "one billion, one hundred twenty-one million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 419 838 1257 1676 2095 2514 3352 4190 5028 6285 6704 8380 10056 11149 12570 16760 20112 22298 25140 33447 33520 44596 50280 55745 66894 89192 100560 111490 133788 167235 178384 222980 267576 334470 445960 535152 668940 891920 1337880 2675760 4671431 9342862 14014293 18685724 23357155 28028586 37371448 46714310 56057172 70071465 74742896 93428620 112114344 140142930 186857240 224228688 280285860 373714480 560571720 1121143440