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1142354440 = 2351710116633
BaseRepresentation
bin100010000010110…
…1111001000001000
32221121112121200201
41010011233020020
54314420320230
6305204341544
740210565263
oct10405571010
92847477621
101142354440
11536913887
1227a6a48b4
13152890096
14aba05cda
156a4505ca
hex4416f208

1142354440 has 64 divisors (see below), whose sum is σ = 2748602160. Its totient is φ = 425779200.

The previous prime is 1142354419. The next prime is 1142354441. The reversal of 1142354440 is 444532411.

It can be written as a sum of positive squares in 8 ways, for example, as 761870404 + 380484036 = 27602^2 + 19506^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1142354399 and 1142354408.

It is not an unprimeable number, because it can be changed into a prime (1142354441) by changing a digit.

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, 60364 + ... + 76996.

Almost surely, 21142354440 is an apocalyptic number.

1142354440 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 1142354440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374301080).

1142354440 is an abundant number, since it is smaller than the sum of its proper divisors (1606247720).

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

1142354440 is a wasteful number, since it uses less digits than its factorization.

1142354440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16762 (or 16758 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 1142354440 is about 33798.7342958283. The cubic root of 1142354440 is about 1045.3625993812.

Adding to 1142354440 its reverse (444532411), we get a palindrome (1586886851).

The spelling of 1142354440 in words is "one billion, one hundred forty-two million, three hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 101 136 170 202 340 404 505 680 808 1010 1717 2020 3434 4040 6868 8585 13736 16633 17170 33266 34340 66532 68680 83165 133064 166330 282761 332660 565522 665320 1131044 1413805 1679933 2262088 2827610 3359866 5655220 6719732 8399665 11310440 13439464 16799330 28558861 33598660 57117722 67197320 114235444 142794305 228470888 285588610 571177220 1142354440