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1142608168 = 2313192331811
BaseRepresentation
bin100010000011010…
…1101000100101000
32221122000111202001
41010012231010220
54320001430133
6305214020344
740213003102
oct10406550450
92848014661
101142608168
11536a77479
1227a7a76b4
1315294b710
14aba70572
156a4a087d
hex441ad128

1142608168 has 128 divisors (see below), whose sum is σ = 2619187200. Its totient is φ = 461894400.

The previous prime is 1142608147. The next prime is 1142608171. The reversal of 1142608168 is 8618062411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1408483 + ... + 1409293.

It is an arithmetic number, because the mean of its divisors is an integer number (20462400).

Almost surely, 21142608168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142608168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309593600).

1142608168 is an abundant number, since it is smaller than the sum of its proper divisors (1476579032).

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

1142608168 is a wasteful number, since it uses less digits than its factorization.

1142608168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 1142608168 is about 33802.4876007669. The cubic root of 1142608168 is about 1045.4399887090.

The spelling of 1142608168 in words is "one billion, one hundred forty-two million, six hundred eight thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 19 23 26 31 38 46 52 62 76 92 104 124 152 184 247 248 299 403 437 494 589 598 713 806 811 874 988 1178 1196 1426 1612 1622 1748 1976 2356 2392 2852 3224 3244 3496 4712 5681 5704 6488 7657 9269 10543 11362 13547 15314 15409 18538 18653 21086 22724 25141 27094 30628 30818 37076 37306 42172 45448 50282 54188 61256 61636 74152 74612 84344 100564 108376 123272 149224 176111 200317 201128 242489 326833 352222 354407 400634 477679 484978 578243 653666 704444 708814 801268 955358 969956 1156486 1307332 1408888 1417628 1602536 1910716 1939912 2312972 2614664 2835256 3821432 4607291 4625944 6209827 7517159 9214582 10986617 12419654 15034318 18429164 21973234 24839308 30068636 36858328 43946468 49678616 60137272 87892936 142826021 285652042 571304084 1142608168