Search a number
-
+
1142131410 = 232571812907
BaseRepresentation
bin100010000010011…
…1000101011010010
32221121010021202100
41010010320223102
54314341201120
6305155501230
740205646120
oct10404705322
92847107670
101142131410
11536781262
1227a5b7816
13152812704
14ab988910
156a409490
hex44138ad2

1142131410 has 48 divisors (see below), whose sum is σ = 3393763776. Its totient is φ = 261058464.

The previous prime is 1142131409. The next prime is 1142131411. The reversal of 1142131410 is 141312411.

It is an interprime number because it is at equal distance from previous prime (1142131409) and next prime (1142131411).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1142131411) 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, 905824 + ... + 907083.

It is an arithmetic number, because the mean of its divisors is an integer number (70703412).

Almost surely, 21142131410 is an apocalyptic number.

1142131410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1142131410 is an abundant number, since it is smaller than the sum of its proper divisors (2251632366).

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

1142131410 is a wasteful number, since it uses less digits than its factorization.

1142131410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812927 (or 1812924 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1142131410 is about 33795.4347508654. The cubic root of 1142131410 is about 1045.2945637561.

Adding to 1142131410 its reverse (141312411), we get a palindrome (1283443821).

The spelling of 1142131410 in words is "one billion, one hundred forty-two million, one hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1812907 3625814 5438721 9064535 10877442 12690349 16316163 18129070 25380698 27193605 32632326 38071047 54387210 63451745 76142094 81580815 114213141 126903490 163161630 190355235 228426282 380710470 571065705 1142131410