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1142412432 = 243710931193
BaseRepresentation
bin100010000010111…
…1101010010010000
32221121122120020120
41010011331102100
54314424144212
6305205510240
740211226330
oct10405752220
92847576216
101142412432
11536953407
1227a712380
131528b05b5
14aba1d0c0
156a46288c
hex4417d490

1142412432 has 80 divisors (see below), whose sum is σ = 3403889280. Its totient is φ = 323398656.

The previous prime is 1142412421. The next prime is 1142412493. The reversal of 1142412432 is 2342142411.

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

It is a nude number because it is divisible by every one of its digits.

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, 21028 + ... + 52220.

It is an arithmetic number, because the mean of its divisors is an integer number (42548616).

Almost surely, 21142412432 is an apocalyptic number.

1142412432 is a gapful number since it is divisible by the number (12) 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 1142412432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701944640).

1142412432 is an abundant number, since it is smaller than the sum of its proper divisors (2261476848).

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

1142412432 is a wasteful number, since it uses less digits than its factorization.

1142412432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31320 (or 31314 counting only the distinct ones).

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

The square root of 1142412432 is about 33799.5921868889. The cubic root of 1142412432 is about 1045.3802884743.

Adding to 1142412432 its reverse (2342142411), we get a palindrome (3484554843).

The spelling of 1142412432 in words is "one billion, one hundred forty-two million, four hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 336 436 654 763 872 1308 1526 1744 2289 2616 3052 4578 5232 6104 9156 12208 18312 31193 36624 62386 93579 124772 187158 218351 249544 374316 436702 499088 655053 748632 873404 1310106 1497264 1746808 2620212 3400037 3493616 5240424 6800074 10200111 10480848 13600148 20400222 23800259 27200296 40800444 47600518 54400592 71400777 81600888 95201036 142801554 163201776 190402072 285603108 380804144 571206216 1142412432