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1142213140 = 2252914913217
BaseRepresentation
bin100010000010100…
…1100101000010100
32221121021102212101
41010011030220110
54314401310030
6305201331444
740206436315
oct10405145024
92847242771
101142213140
11536827702
1227a636b84
13152840983
14ab9aa60c
156a4237ca
hex4414ca14

1142213140 has 48 divisors (see below), whose sum is σ = 2498202000. Its totient is φ = 438136832.

The previous prime is 1142213117. The next prime is 1142213147. The reversal of 1142213140 is 413122411.

It can be written as a sum of positive squares in 8 ways, for example, as 116035984 + 1026177156 = 10772^2 + 32034^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142213147) 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, 79812 + ... + 93028.

It is an arithmetic number, because the mean of its divisors is an integer number (52045875).

Almost surely, 21142213140 is an apocalyptic number.

1142213140 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 1142213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249101000).

1142213140 is an abundant number, since it is smaller than the sum of its proper divisors (1355988860).

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

1142213140 is a wasteful number, since it uses less digits than its factorization.

1142213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13404 (or 13402 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1142213140 is about 33796.6439162234. The cubic root of 1142213140 is about 1045.3194966393.

Adding to 1142213140 its reverse (413122411), we get a palindrome (1555335551).

The spelling of 1142213140 in words is "one billion, one hundred forty-two million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 149 290 298 580 596 745 1490 2980 4321 8642 13217 17284 21605 26434 43210 52868 66085 86420 132170 264340 383293 766586 1533172 1916465 1969333 3832930 3938666 7665860 7877332 9846665 19693330 39386660 57110657 114221314 228442628 285553285 571106570 1142213140