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1142134440 = 233511038629
BaseRepresentation
bin100010000010011…
…1001011010101000
32221121010102220120
41010010321122220
54314341300230
6305155523240
740205661006
oct10404713250
92847112816
101142134440
11536783567
1227a5b9520
13152813bc5
14ab989a76
156a40a310
hex441396a8

1142134440 has 64 divisors (see below), whose sum is σ = 3429907200. Its totient is φ = 304257792.

The previous prime is 1142134423. The next prime is 1142134459. The reversal of 1142134440 is 444312411.

It is a super-2 number, since 2×11421344402 = 2608942158068227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1142134440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128046 + ... + 136674.

It is an arithmetic number, because the mean of its divisors is an integer number (53592300).

Almost surely, 21142134440 is an apocalyptic number.

1142134440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142134440 is an abundant number, since it is smaller than the sum of its proper divisors (2287772760).

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

1142134440 is a wasteful number, since it uses less digits than its factorization.

1142134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9746 (or 9742 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1142134440 is about 33795.4795793757. The cubic root of 1142134440 is about 1045.2954881214.

Adding to 1142134440 its reverse (444312411), we get a palindrome (1586446851).

The spelling of 1142134440 in words is "one billion, one hundred forty-two million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1103 2206 3309 4412 5515 6618 8629 8824 11030 13236 16545 17258 22060 25887 26472 33090 34516 43145 44120 51774 66180 69032 86290 103548 129435 132360 172580 207096 258870 345160 517740 1035480 9517787 19035574 28553361 38071148 47588935 57106722 76142296 95177870 114213444 142766805 190355740 228426888 285533610 380711480 571067220 1142134440