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1142410032 = 243267118409
BaseRepresentation
bin100010000010111…
…1100101100110000
32221121122102221200
41010011330230300
54314424110112
6305205451200
740211216331
oct10405745460
92847572850
101142410032
11536951625
1227a710b00
131528ac48a
14aba1c288
156a461cdc
hex4417cb30

1142410032 has 60 divisors (see below), whose sum is σ = 3244907640. Its totient is φ = 375116544.

The previous prime is 1142409991. The next prime is 1142410043. The reversal of 1142410032 is 2300142411.

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

It is a junction number, because it is equal to n+sod(n) for n = 1142409987 and 1142410014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49557 + ... + 68852.

It is an arithmetic number, because the mean of its divisors is an integer number (54081794).

Almost surely, 21142410032 is an apocalyptic number.

1142410032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1142410032 is an abundant number, since it is smaller than the sum of its proper divisors (2102497608).

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

1142410032 is a wasteful number, since it uses less digits than its factorization.

1142410032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118490 (or 118481 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1142410032 is about 33799.5566834833. The cubic root of 1142410032 is about 1045.3795564227.

Adding to 1142410032 its reverse (2300142411), we get a palindrome (3442552443).

The spelling of 1142410032 in words is "one billion, one hundred forty-two million, four hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 118409 236818 355227 473636 710454 947272 1065681 1420908 1894544 2131362 2841816 4262724 5683632 7933403 8525448 15866806 17050896 23800209 31733612 47600418 63467224 71400627 95200836 126934448 142801254 190401672 285602508 380803344 571205016 1142410032